Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9.7, Problem 9.122TI
Graph
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
n
B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded spans Rª.
○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
F. none of the above
Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.)
☐ A.
{
7
4
3
13
-9
8
-17
7
☐ B.
0
-8
3
☐ C.
0
☐
D.
-5
☐ E.
3
☐ F.
4
TH
Chapter 9 Solutions
Intermediate Algebra
Ch. 9.1 - Solve: x248=0 .Ch. 9.1 - Solve: y227=0 .Ch. 9.1 - Solve: 2x2=98 .Ch. 9.1 - Solve: 5m2=80 .Ch. 9.1 - Solve: c2+12=0 .Ch. 9.1 - Solve: q2+24=0 .Ch. 9.1 - Solve: 12x2+4=24 .Ch. 9.1 - Solve: 34y23=18 .Ch. 9.1 - Solve: 5r22=34 .Ch. 9.1 - Solve: 3t2+6=70 .
Ch. 9.1 - Solve: 3(a3)2=54 .Ch. 9.1 - Solve: 2(b+2)2=80 .Ch. 9.1 - Solve: (x12)2=54 .Ch. 9.1 - Solve: (y+34)2=716 .Ch. 9.1 - Solve: 5(a5)2+4=104 .Ch. 9.1 - Solve: 3(b+3)28=88 .Ch. 9.1 - Solve: (3r+4)2=8 .Ch. 9.1 - Solve: (2t8)2=10 .Ch. 9.1 - Solve: 9m212m+4=25 .Ch. 9.1 - Solve: 16n2+40n+25=4 .Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - ccIn the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve each equation....Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In the following exercises, solve using the Square...Ch. 9.1 - In your own words, explain the Square Root...Ch. 9.1 - In your own words, explain how to use the Square...Ch. 9.2 - Complete the square to make a perfect square...Ch. 9.2 - Complete the square to make a perfect square...Ch. 9.2 - Solve by completing the square: x2+4x=5 .Ch. 9.2 - Solve by completing the square: y210y=9 .Ch. 9.2 - Solve by completing the square: y210y=35 .Ch. 9.2 - Solve by completing the square: z2+8z=19 .Ch. 9.2 - Solve by completing the square: x216x=16 .Ch. 9.2 - Solve by completing the square: y2+8y=11 .Ch. 9.2 - Solve by completing the square: a2+4a+9=30 .Ch. 9.2 - Solve by completing the square: b2+8b4=16 .Ch. 9.2 - Solve by completing the square: p2=5p+9 .Ch. 9.2 - Solve by completing the square: q2=7q3 .Ch. 9.2 - Solve by completing the square: (c2)(c+8)=11 .Ch. 9.2 - Solve by completing the square: (d7)(d+3)=56 .Ch. 9.2 - Solve by completing the square: 2m2+16m+14=0 .Ch. 9.2 - Solve by completing the square: 4n224n56=8 .Ch. 9.2 - Solve by completing the square: 3r22r=21 .Ch. 9.2 - Solve by completing the square: 4t2+2t=20 .Ch. 9.2 - Solve by completing the square: 4x2+3x=2 .Ch. 9.2 - Solve by completing the square: 3y210y=5 .Ch. 9.2 - In the following exercises, complete the square to...Ch. 9.2 - In the following exercises, complete the square to...Ch. 9.2 - In the following exercises, complete the square to...Ch. 9.2 - In the following exercises, complete the square to...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - In the following exercises, solve by completing...Ch. 9.2 - Solve the equation x2+10x=25 (a) by using the...Ch. 9.2 - Solve the equation y2+8y=48 by completing the...Ch. 9.3 - Solve by using the Quadratic Formula: 3y25y+2=0 .Ch. 9.3 - Solve by using the Quadratic Formula: 4z2+2z6=0 .Ch. 9.3 - Solve by using the Quadratic Formula: a22a=15 .Ch. 9.3 - Solve by using the Quadratic Formula: b2+24=10b .Ch. 9.3 - Solve by using the Quadratic Formula: 3m2+12m+7=0...Ch. 9.3 - Solve by using the Quadratic Formula: 5n2+4n4=0 .Ch. 9.3 - Solve by using the Quadratic Formula: 4a22a+8=0 .Ch. 9.3 - Solve by using the Quadratic Formula: 5b2+2b+4=0 .Ch. 9.3 - Solve by using the Quadratic Formula: x(x+2)5=0 .Ch. 9.3 - Solve by using the Quadratic Formula: 3y(y2)3=0 .Ch. 9.3 - Solve by using the Quadratic Formula: 14c213c=112...Ch. 9.3 - Solve by using the Quadratic Formula: 19d212d=13 .Ch. 9.3 - Solve by using the Quadratic Formula: r2+10r+25=0...Ch. 9.3 - Solve by using the Quadratic Formula: 25t240t=16 .Ch. 9.3 - Determine the numberand type of solutions to each...Ch. 9.3 - Determine the numberand type of solutions to each...Ch. 9.3 - Identify the most appropriate method to use to...Ch. 9.3 - Identify the most appropriate method to use to...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, solve by using the...Ch. 9.3 - In the following exercises, determine the number...Ch. 9.3 - In the following exercises, determine the number...Ch. 9.3 - In the following exercises, determine the number...Ch. 9.3 - In the following exercises, determine the number...Ch. 9.3 - In the following exercises, identify the most...Ch. 9.3 - In the following exercises, identify the most...Ch. 9.3 - In the following exercises, identify the most...Ch. 9.3 - In the following exercises, identify the most...Ch. 9.3 - Solve the equation x2+10x=120 (a) by completing...Ch. 9.3 - Solve the equation 12y2+23y=24 (a) by completing...Ch. 9.4 - Solve: x46x2+8=0.Ch. 9.4 - Solve: x 4 11 x 2 +28=0.Ch. 9.4 - Solve: (x5)2+6(x5)+8=0.Ch. 9.4 - Solve: (y4)2+8(y4)+15=0.Ch. 9.4 - Solve: x7x+12=0.Ch. 9.4 - Solve: x6x+8=0.Ch. 9.4 - Solve: x235x1314=0.Ch. 9.4 - Solve: x12+8x14+15=0.Ch. 9.4 - Solve: 8x210x1+3=0.Ch. 9.4 - Solve: 6x223x1+20=0.Ch. 9.4 - In the following exercises, solve. 155. x47x2+12=0Ch. 9.4 - In the following exercises, solve. 156. x49x2+18=0Ch. 9.4 - In the following exercises, solve. 157. x413x230=0Ch. 9.4 - In the following exercises, solve. 158. x4+5x236=0Ch. 9.4 - In the following exercises, solve. 159. 2x45x2+3=0Ch. 9.4 - In the following exercises, solve. 160. 4x45x2+1=0Ch. 9.4 - In the following exercises, solve. 161. 2x47x2+3=0Ch. 9.4 - In the following exercises, solve. 162....Ch. 9.4 - In the following exercises, solve. 163....Ch. 9.4 - In the following exercises, solve. 164....Ch. 9.4 - In the following exercises, solve. 165....Ch. 9.4 - In the following exercises, solve. 166....Ch. 9.4 - In the following exercises, solve. 167....Ch. 9.4 - In the following exercises, solve. 168....Ch. 9.4 - In the following exercises, solve. 169....Ch. 9.4 - In the following exercises, solve. 170....Ch. 9.4 - In the following exercises, solve. 171. xx20=0Ch. 9.4 - In the following exercises, solve. 172. x8x+15=0Ch. 9.4 - In the following exercises, solve. 173. x+6x16=0Ch. 9.4 - In the following exercises, solve. 174. x+4x21=0Ch. 9.4 - In the following exercises, solve. 175. 6x+x2=0Ch. 9.4 - In the following exercises, solve. 176. 6x+x1=0Ch. 9.4 - In the following exercises, solve. 177. 10x17x+3=0Ch. 9.4 - In the following exercises, solve. 178. 12x+5x3=0Ch. 9.4 - In the following exercises, solve. 179....Ch. 9.4 - In the following exercises, solve. 180. x233x13=28Ch. 9.4 - In the following exercises, solve. 181....Ch. 9.4 - In the following exercises, solve. 182....Ch. 9.4 - In the following exercises, solve. 183. 6x23x13=12Ch. 9.4 - In the following exercises, solve. 184....Ch. 9.4 - In the following exercises, solve. 185....Ch. 9.4 - In the following exercises, solve. 186....Ch. 9.4 - In the following exercises, solve. 187. x+8x12+7=0Ch. 9.4 - In the following exercises, solve. 188. 2x7x12=15Ch. 9.4 - In the following exercises, solve. 189....Ch. 9.4 - In the following exercises, solve. 190....Ch. 9.4 - In the following exercises, solve. 191. 8x22x13=0Ch. 9.4 - In the following exercises, solve. 192. 15x24x14=0Ch. 9.4 - In the following exercises, solve. 193. Explain...Ch. 9.4 - In the following exercises, solve. 194. Explain...Ch. 9.5 - The product of two consecutive odd is 99. Find the...Ch. 9.5 - The product of two consecutive even integers is...Ch. 9.5 - Find the base and height of a triangle whose base...Ch. 9.5 - If a triangle that has an area of 110 square feet...Ch. 9.5 - The length of a 200 square foot rectangular...Ch. 9.5 - A rectangular tablecloth has an area of 80 square...Ch. 9.5 - The sun casts a shadow from a flag pole. The...Ch. 9.5 - The distance between opposite corners of a...Ch. 9.5 - An arrow shot from the ground into the air at an...Ch. 9.5 - A man throws a ball into the air with a velocity...Ch. 9.5 - MaryAnne just returned from a visit with her...Ch. 9.5 - Gerry just returned from a cross country trip. The...Ch. 9.5 - The weekly news magazine has a big story naming...Ch. 9.5 - Erlinda is having a party and wants to fill her...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - In the following exercises, solve using any...Ch. 9.5 - Make up a problem involving the product of two...Ch. 9.5 - Make up a problem involving the product of two...Ch. 9.6 - Graph: f(x)=x2.Ch. 9.6 - Graph: f(x)=x2+1.Ch. 9.6 - Determine the whether the graph of each function...Ch. 9.6 - Determine whether the graph of each of function is...Ch. 9.6 - For the graph of f(x)=2x28x+1 find: a. the axis of...Ch. 9.6 - For the graph f(x)=2x24x3 find: a. the axis of...Ch. 9.6 - Find the intercepts of the parabola whose function...Ch. 9.6 - Find the intercepts of the parabola whose function...Ch. 9.6 - Find the intercepts of the parabola whose function...Ch. 9.6 - Find the intercepts of the parabola whose function...Ch. 9.6 - Graph f(x)=x2+2x8 by using its properties.Ch. 9.6 - Graph f(x)=x28x+12 by using its properties.Ch. 9.6 - GRAPH f(x)=3x2+12x12 by using its properties.Ch. 9.6 - Graph f(x)=4x2+24x+36 by using its properties.Ch. 9.6 - Graph f(x)=x22x+3 by using its properties.Ch. 9.6 - Graph f(x)=3x26x4 by using its properties.Ch. 9.6 - Graph f(x)=5x2+10x+3 by using its properties.Ch. 9.6 - Graph f(x)=3x26x+5 by using its properties.Ch. 9.6 - Find the maximum or minimum value of the quadratic...Ch. 9.6 - Find the maximum or minimum value of the quadratic...Ch. 9.6 - Solve, rounding answers to the nearest tenth. The...Ch. 9.6 - A path of a toy rocket thrown upward from the...Ch. 9.6 - In the following exercises, graph the functions by...Ch. 9.6 - In the following exercises, graph the functions by...Ch. 9.6 - In the following exercises, graph the functions by...Ch. 9.6 - In the following exercises, graph the functions by...Ch. 9.6 - For each of the following exercises, determine if...Ch. 9.6 - For each of the following exercises, determine if...Ch. 9.6 - For each of the following exercises, determine if...Ch. 9.6 - For each of the following exercises, determine if...Ch. 9.6 - In the following functions, find (a) the equation...Ch. 9.6 - In the following functions, find (a) the equation...Ch. 9.6 - In the following functions, find (a) the equation...Ch. 9.6 - In the following functions, find (a) the equation...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, find the intercepts of...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, graph the function by...Ch. 9.6 - In the following exercises, find the maximum or...Ch. 9.6 - In the following exercises, find the maximum or...Ch. 9.6 - In the following exercises, find the maximum or...Ch. 9.6 - In the following exercises, find the maximum or...Ch. 9.6 - In the following exercises, find the maximum or...Ch. 9.6 - In the following exercises, find the maximum or...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - In the following exercises, solve. Round answers...Ch. 9.6 - How do the graphs of the functions f(x)=x2 and...Ch. 9.6 - Explain the process of finding the vertex of a...Ch. 9.6 - Explain how to find the intercepts of a parabola.Ch. 9.6 - How can you use the discriminant when you are...Ch. 9.7 - a. Graph f(x)=x2,g(x)=x2+1, and h(x)=x21on the...Ch. 9.7 - a. Graph f(x)=x2,g(x)=x2+6, and h(x)=x26 on the...Ch. 9.7 - Graph f(x)=x25 using a vertical shift.Ch. 9.7 - Graph f(x)=x2+7 using a vertical shift.Ch. 9.7 - a. Graph f(x)=x2,g(x)=(x+2)2, and h(x)=(x2)2 on...Ch. 9.7 - a. Graph f(x)=x2,g(x)=x2+5, and h(x)=x25 on the...Ch. 9.7 - Graph f(x)=(x4)2 using a horizontal shift.Ch. 9.7 - Graph f(x)=(x+6)2 using a horizontal shift.Ch. 9.7 - Graph f(x)=(x+2)23 using transformations.Ch. 9.7 - Graph f(x)=(x3)2+1 using transformations.Ch. 9.7 - Graph f(x)=3x2.Ch. 9.7 - Graph f(x)=2x2.Ch. 9.7 - Rewrite f(x)=4x28x+1 in the f(x)=a(xh)2+k form by...Ch. 9.7 - Rewrite f(x)=2x28x+3 in the f(x)=a(xh)2+k form by...Ch. 9.7 - Graph f(x)=x2+2x3 by using transformations.Ch. 9.7 - Graph f(x)=x28x+12 by using transformations.Ch. 9.7 - Graph f(x)=3x2+12x4 by using transformations.Ch. 9.7 - Graph f(x)=2x2+12x9 by using transformations.Ch. 9.7 - (a) Rewrite f(w)=3x26x+5 in f(x)=a(xh)2+k form and...Ch. 9.7 - (a) Rewrite f(x)=2x2+8x7 in f(x)=a(xh)2+k form and...Ch. 9.7 - Write the quadratic function in f(x)=a(xh)2+k form...Ch. 9.7 - Determine the quadratic function whose graph is...Ch. 9.7 - In the following exercises, (a) graph the...Ch. 9.7 - In the following exercises, (a) graph the...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, (a) graph the...Ch. 9.7 - In the following exercises, (a) graph the...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function...Ch. 9.7 - In the following exercises, graph each function....Ch. 9.7 - In the following exercises, graph each function....Ch. 9.7 - In the following exercises, graph each function....Ch. 9.7 - In the following exercises, graph each function....Ch. 9.7 - In the following exercises, graph each function....Ch. 9.7 - In the following exercises, graph each function....Ch. 9.7 - In the following exercises, graph each function....Ch. 9.7 - In the following exercises, graph each function....Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, rewrite each function...Ch. 9.7 - In the following exercises, math the graphs to one...Ch. 9.7 - In the following exercises, math the graphs to one...Ch. 9.7 - In the following exercises, math the graphs to one...Ch. 9.7 - In the following exercises, math the graphs to one...Ch. 9.7 - In the following exercises, math the graphs to one...Ch. 9.7 - In the following exercises, math the graphs to one...Ch. 9.7 - In the following exercises, math the graphs to one...Ch. 9.7 - In the following exercises, math the graphs to one...Ch. 9.7 - In the following exercises, write the quadratic...Ch. 9.7 - In the following exercises, write the quadratic...Ch. 9.7 - In the following exercises, write the quadratic...Ch. 9.7 - In the following exercises, write the quadratic...Ch. 9.7 - Graph the quadratic function f(x)=x2+4x+5 first...Ch. 9.7 - Graph the quadratic function f(x)=2x24x3 first...Ch. 9.8 - Solve x2+2x80 graphically and (b) write the...Ch. 9.8 - Solve x28x+120 graphically and (b) write the...Ch. 9.8 - Solve x26x50 graphically and (b) write the...Ch. 9.8 - Solve x2+10x160 graphically and (b) write the...Ch. 9.8 - Solve x2+2x80 algebraically. Write the solution in...Ch. 9.8 - Solve x22x150 algebraically. Write the solution in...Ch. 9.8 - Solve x2+2x+10 algebraically. Write the solution...Ch. 9.8 - Solve s x2+8x140 algebraically. Write the solution...Ch. 9.8 - Solve and write any solution in interval notation:...Ch. 9.8 - Solve and write any solution in interval notation:...Ch. 9.8 - In the following exercises, (a) solve graphically...Ch. 9.8 - In the following exercises, (a) solve graphically...Ch. 9.8 - In the following exercises, (a) solve graphically...Ch. 9.8 - In the following exercises, (a) solve graphically...Ch. 9.8 - In the following exercises, (a) solve graphically...Ch. 9.8 - In the following exercises, (a) solve graphically...Ch. 9.8 - In the following exercises, (a) solve graphically...Ch. 9.8 - In the following exercises, (a) solve graphically...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - In the following exercises, solve each inequality...Ch. 9.8 - ]Explain critical points and how they are used to...Ch. 9.8 - Solve x2+2x8 both graphically and algebraically....Ch. 9.8 - Describe the steps needed to solve a quadratic...Ch. 9.8 - Describe the steps needed to solve a quadratic...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, solve using the Square...Ch. 9 - In the following exercises, complete the square to...Ch. 9 - In the following exercises, complete the square to...Ch. 9 - In the following exercises, complete the square to...Ch. 9 - In the following exercises, complete the square to...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by completing...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - ]In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, determine the number...Ch. 9 - In the following exercises, determine the number...Ch. 9 - In the following exercises, identify the most...Ch. 9 - In the following exercises, identify the most...Ch. 9 - In the following exercises, solve. 455....Ch. 9 - In the following exercises, solve. 456. x4+4x232=0Ch. 9 - In the following exercises, solve. 457. 4x45x2+1=0Ch. 9 - In the following exercises, solve. 458....Ch. 9 - In the following exercises, solve. 459. x+3x28=0Ch. 9 - In the following exercises, solve. 460. 6x+5x6=0Ch. 9 - In the following exercises, solve. 461....Ch. 9 - In the following exercises, solve. 462. x+7x12+6=0Ch. 9 - In the following exercises, solve. 463. 8x22x13=0Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, solve by using the...Ch. 9 - In the following exercises, graph by plotting...Ch. 9 - In the following exercises, graph by plotting...Ch. 9 - In the following exercises, determine if the...Ch. 9 - In the following exercises, determine if the...Ch. 9 - In the following exercises, find ? the equation of...Ch. 9 - In the following exercises, find ? the equation of...Ch. 9 - In the following exercises, find the x- and...Ch. 9 - In the following exercises, find the x- and...Ch. 9 - In the following exercises, find the x- and...Ch. 9 - In the following exercises, find the x- and...Ch. 9 - In the following exercises, find the x- and...Ch. 9 - In the following exercises, find the x- and...Ch. 9 - In the following exercises, graph by using its...Ch. 9 - In the following exercises, graph by using its...Ch. 9 - In the following exercises, graph by using its...Ch. 9 - In the following exercises, graph by using its...Ch. 9 - In the following exercises, graph by using its...Ch. 9 - In the following exercises, graph by using its...Ch. 9 - In the following exercises, find the minimum or...Ch. 9 - In the following exercises, find the minimum or...Ch. 9 - In the following exercises, solve. Rounding...Ch. 9 - ??In the following exercises, solve. Rounding...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, graph each function....Ch. 9 - In the following exercises, graph each function....Ch. 9 - In the following exercises, graph each function....Ch. 9 - In the following exercises, rewrite each function...Ch. 9 - In the following exercises, rewrite each function...Ch. 9 - In the following, (a) rewrite each function in...Ch. 9 - In the following, (a) rewrite each function in...Ch. 9 - In the following, (a) rewrite each function in...Ch. 9 - In the following, (a) rewrite each function in...Ch. 9 - In the following, (a) rewrite each function in...Ch. 9 - In the following, (a) rewrite each function in...Ch. 9 - In the following exercises, write the quadratic...Ch. 9 - In the following exercises, write the quadratic...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - In the following exercises, solve graphically and...Ch. 9 - Use the Square Root Property to solve the...Ch. 9 - Use Completing the Square to solve the quadratic...Ch. 9 - Use the Quadratic Formula to solve the quadratic...Ch. 9 - Solve the following quadratic equations. Use any...Ch. 9 - Solve the following quadratic equations. Use any...Ch. 9 - Use the discriminant to determine the number and...Ch. 9 - Use the discriminant to determine the number and...Ch. 9 - Solve each equation. 536. 4x417x2+4=0Ch. 9 - Solve each equation. 537. y23+2y133=0Ch. 9 - For each parabola, find (a) which direction it...Ch. 9 - For each parabola, find (a) which direction it...Ch. 9 - Graph each quadratic function intercepts, the...Ch. 9 - Graph each quadratic function intercepts, the...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, graph each function...Ch. 9 - In the following exercises, solve reach inequality...Ch. 9 - In the following exercises, solve reach inequality...Ch. 9 - Model the situation with a quadratic equation and...Ch. 9 - Model the situation with a quadratic equation and...Ch. 9 - Model the situation with a quadratic equation and...
Additional Math Textbook Solutions
Find more solutions based on key concepts
When all letters are used, how many different letter arrangements can be made from the letters
a. Fluke?
b. P...
A First Course in Probability (10th Edition)
1. How many solutions are there to ax + b = 0 with ?
College Algebra with Modeling & Visualization (5th Edition)
Fill in each blank so that the resulting statement is true. An equation that expresses a relationship between t...
Algebra and Trigonometry (6th Edition)
In Exercises 13–16, find the margin of error for the values of c, ?, and n.
13. c = 0.95, ? = 5.2, n = 30
Elementary Statistics: Picturing the World (7th Edition)
Answer the following regarding the English alphabet. a. Determine the ratio of vowels to consonants. b. What is...
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
In Exercises 9–22, write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.
15...
University Calculus: Early Transcendentals (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- 3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forwardFind the perimeter and areaarrow_forward
- Assume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forwardAssume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the abovearrow_forwardLet H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forward
- 3. Let M = (a) - (b) 2 −1 1 -1 2 7 4 -22 Find a basis for Col(M). Find a basis for Null(M).arrow_forwardSchoology X 1. IXL-Write a system of X Project Check #5 | Schx Thomas Edison essay, x Untitled presentation ixl.com/math/algebra-1/write-a-system-of-equations-given-a-graph d.net bookmarks Play Gimkit! - Enter... Imported Imported (1) Thomas Edison Inv... ◄›) What system of equations does the graph show? -8 -6 -4 -2 y 8 LO 6 4 2 -2 -4 -6 -8. 2 4 6 8 Write the equations in slope-intercept form. Simplify any fractions. y = y = = 00 S olo 20arrow_forwardEXERCICE 2: 6.5 points Le plan complexe est rapporté à un repère orthonormé (O, u, v ).Soit [0,[. 1/a. Résoudre dans l'équation (E₁): z2-2z+2 = 0. Ecrire les solutions sous forme exponentielle. I b. En déduire les solutions de l'équation (E2): z6-2 z³ + 2 = 0. 1-2 2/ Résoudre dans C l'équation (E): z² - 2z+1+e2i0 = 0. Ecrire les solutions sous forme exponentielle. 3/ On considère les points A, B et C d'affixes respectives: ZA = 1 + ie 10, zB = 1-ie 10 et zc = 2. a. Déterminer l'ensemble EA décrit par le point A lorsque e varie sur [0, 1. b. Calculer l'affixe du milieu K du segment [AB]. C. Déduire l'ensemble EB décrit par le point B lorsque varie sur [0,¹ [. d. Montrer que OACB est un parallelogramme. e. Donner une mesure de l'angle orienté (OA, OB) puis déterminer pour que OACB soit un carré.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Inverse Functions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=9fJsrnE1go0;License: Standard YouTube License, CC-BY