Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 10.1, Problem 39E
In the following exercises, solve using the Square Root Property.
39.
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Chapter 10 Solutions
Elementary Algebra
Ch. 10.1 - Solve: x2=81 .Ch. 10.1 - Solve: y2=121 .Ch. 10.1 - Solve: x250=0 .Ch. 10.1 - Solve: y227=0 .Ch. 10.1 - Solve: 2x2=98 .Ch. 10.1 - Solve: 3z2=108 .Ch. 10.1 - Solve: c2+12=0 .Ch. 10.1 - Solve: d2+81=0 .Ch. 10.1 - Solve: 12x2+4=24 .Ch. 10.1 - Solve: 34y23=18 .
Ch. 10.1 - Solve: 5r22=34 .Ch. 10.1 - Solve: 3t2+6=70 .Ch. 10.1 - Solve: (q+5)2=1 .Ch. 10.1 - Solve: (r3)2=25 .Ch. 10.1 - Solve: (a3)2=18 .Ch. 10.1 - Solve: (b+2)2=40 .Ch. 10.1 - Solve: (x13)2=59 .Ch. 10.1 - Solve: (y34)2=716 .Ch. 10.1 - Solve: (a5)2+4=24 .Ch. 10.1 - Solve: (b3)28=24 .Ch. 10.1 - Solve: (3r+4)2=8 .Ch. 10.1 - Solve: (3r+4)2=8 .Ch. 10.1 - Solve: x26x+9=12 .Ch. 10.1 - Solve: y2+12y+36=32 .Ch. 10.1 - Solve: 9m212m+4=25 .Ch. 10.1 - Solve: 16n2+40n+25=4 .Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - Paola has enough mulch to cover 48 square feet....Ch. 10.1 - Kathy is drawing up the blueprints for a house she...Ch. 10.1 - Explain why the equation x2+12=8 has no solution.Ch. 10.1 - Explain why the equation y2+8=12 has two...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Solve c2+4c=5 by completing the square.Ch. 10.2 - Solve d2+10d=9 by completing the square.Ch. 10.2 - Solve r24r=12 by completing the square.Ch. 10.2 - Solve t210t=11 by completing the square.Ch. 10.2 - Solve y210y=35 by completing the square.Ch. 10.2 - Solve z2+8z=19 by completing the square.Ch. 10.2 - Solve x216x=16 by completing the square.Ch. 10.2 - Solve y2+8y=11 by completing the square.Ch. 10.2 - Solve a2+4a+9=30 by completing the square.Ch. 10.2 - Solve b2+8b4=16 by completing the square.Ch. 10.2 - Solve p2=5p+9 by completing the square.Ch. 10.2 - Solve q2=7q3 by completing the square.Ch. 10.2 - Solve (c2)(c+8)=7 by completing the square.Ch. 10.2 - Solve (d7)(d+3)=56 by completing the square.Ch. 10.2 - Solve 2m2+16m8=0 by completing the square.Ch. 10.2 - Solve 4n224n56=8 by completing the square.Ch. 10.2 - Solve 3r22r=21 by completing the square.Ch. 10.2 - Solve 4t2+2t=20 by completing the square.Ch. 10.2 - Solve 4x2+3x=12 by completing the square.Ch. 10.2 - Solve 5y2+3y=10 by completing the square.Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - 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Solve b2+10b+24=0 by using the Quadratic Formula.Ch. 10.3 - Solve 2p2+8p+5=0 by using the Quadratic Formula.Ch. 10.3 - Solve 5q211q+3=0 by using the Quadratic Formula.Ch. 10.3 - Solve 3m2+12m+7=0 by using the Quadratic Formula.Ch. 10.3 - Solve 5n2+4n4=0 by using the Quadratic Formula.Ch. 10.3 - Solve 4a23a+8=0 by using the Quadratic Formula.Ch. 10.3 - Solve 5b2+2b+4=0 by using the Quadratic Formula.Ch. 10.3 - Solve x(x+2)5=0 by using the Quadratic Formula.Ch. 10.3 - Solve y(3y1)2=0 by using the Quadratic Formula.Ch. 10.3 - Solve 14c213c=112 by using the Quadratic Formula.Ch. 10.3 - Solve 19d212d=12 by using the Quadratic Formula.Ch. 10.3 - Solve r2+10r+25=0 by using the Quadratic Formula.Ch. 10.3 - Solve 25t240t=16 by using the Quadratic Formula.Ch. 10.3 - Determine the number of solutions to each...Ch. 10.3 - Determine the number of solutions to each...Ch. 10.3 - Identify the most appropriate method to use to...Ch. 10.3 - Identify the most appropriate method to use to...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - 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In the following exercises, determine the number...Ch. 10.3 - In the following exercises, identify the most...Ch. 10.3 - In the following exercises, identify the most...Ch. 10.3 - In the following exercises, identify the most...Ch. 10.3 - In the following exercises, identify the most...Ch. 10.3 - A flare is fired straight up from a ship at sea....Ch. 10.3 - An architect is designing a hotel lobby. She wants...Ch. 10.3 - Solve the equation x2+10x=200 (a) by completing...Ch. 10.3 - Solve the equation 12y2+23y=24 (a) by completing...Ch. 10.4 - The product of two consecutive odd integers is 99....Ch. 10.4 - The product of two consecutive odd integers is...Ch. 10.4 - Find the dimensions of a triangle whose width is...Ch. 10.4 - If a triangle that has an area of 110 square feet...Ch. 10.4 - The sun casts a shadow from a flag pole. The...Ch. 10.4 - The distance between opposite corners of a...Ch. 10.4 - The length of a 200 square foot rectangular...Ch. 10.4 - A rectangular tablecloth has an area of 80 square...Ch. 10.4 - An arrow is shot from the ground into the air at...Ch. 10.4 - A man throws a ball into the air with a velocity...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - A bullet is fired straight up from a BB gun with...Ch. 10.4 - A city planner wants to build a bridge across a...Ch. 10.4 - Make up a problem involving the product of two...Ch. 10.4 - Make up a problem involving the product of two...Ch. 10.5 - Graph y=x2 .Ch. 10.5 - Graph y=x2+1 .Ch. 10.5 - Determine whether each parabola opens upward or...Ch. 10.5 - Determine whether each parabola opens upward or...Ch. 10.5 - For the parabola find: (a) the axis of symmetry...Ch. 10.5 - For the parabola y=2x24x3 find: (a) the axis of...Ch. 10.5 - Find the intercepts of the parabola y=x2+2x8 .Ch. 10.5 - Find the intercepts of the parabola y=x24x12 .Ch. 10.5 - Find the intercepts of the parabola y=3x2+4x+4 .Ch. 10.5 - Find the intercepts of the parabola y=x24x5 .Ch. 10.5 - Find the intercepts of the parabola y=x212x36 .Ch. 10.5 - Find the intercepts of the parabola y=9x2+12x+4 .Ch. 10.5 - Graph the parabola y=x2+2x8 .Ch. 10.5 - Graph the parabola y=x28x+12 .Ch. 10.5 - Graph the parabola y=3x2+12x12 .Ch. 10.5 - Graph the parabola y=25x2+10x+1 .Ch. 10.5 - Graph the parabola y=2x26x+5 .Ch. 10.5 - Graph the parabola y=2x21 .Ch. 10.5 - Graph the parabola y=5x2+10x+3 .Ch. 10.5 - Graph the parabola y=3x26x+5 .Ch. 10.5 - Find the maximum or minimum value of the quadratic...Ch. 10.5 - Find the maximum or minimum value of the quadratic...Ch. 10.5 - The quadratic equation h=16t2+128t+32 is used to...Ch. 10.5 - A toy rocket shot upward from the ground at a rate...Ch. 10.5 - In the following exercises, graph: 163. y=x2+3Ch. 10.5 - In the following exercises, graph: 164. y=x2+1Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, find (a) the axis of...Ch. 10.5 - In the following exercises, find (a) the axis of...Ch. 10.5 - In the following exercises, find (a) the axis of...Ch. 10.5 - In the following exercises, find (a) the axis of...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - 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Round answers...Ch. 10.5 - In the previous set of exercises, you worked with...Ch. 10.5 - In the previous set of exercises, you worked with...Ch. 10.5 - For the revenue model in Exercise 10.205 and...Ch. 10.5 - For the revenue model in Exercise 10.206 and...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - 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In the following exercises, solve by using methods...Ch. 10 - In the following exercises, solve by using methods...Ch. 10 - In the following exercises, solve by using methods...Ch. 10 - In the following exercises, graph by plotting...Ch. 10 - In the following exercises, graph by plotting...Ch. 10 - In the following exercises, determine if the...Ch. 10 - In the following exercises, determine if the...Ch. 10 - In the following exercises, determine if the...Ch. 10 - In the following exercises, determine if the...Ch. 10 - In the following exercises, find (a) the axis of...Ch. 10 - In the following exercises, find (a) the axis of...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, graph by using...Ch. 10 - 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Rounding...Ch. 10 - In the following exercises, solve. Rounding...Ch. 10 - Use the Square Root Property to solve the...Ch. 10 - Use Completing the Square to solve the quadratic...Ch. 10 - Use the Quadratic Formula to solve the quadratic...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Use the discriminant to determine the number of...Ch. 10 - Use the discriminant to determine the number of...Ch. 10 - Solve by factoring, the Square Root Property, or...Ch. 10 - Solve by factoring, the Square Root Property, or...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - Graph the following parabolas by using intercepts,...Ch. 10 - Graph the following parabolas by using intercepts,...Ch. 10 - Solve. 342. A water balloon is launched upward at...
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- Using logarithmic properties, what is the solution to log3(y + 5) + log36 = log366? Show all necessary steps.arrow_forward4.2 Comparing Linear and Exponential Change 7) Money is added to (and never removed from) two different savings accounts (Account A and Account B) at the start of each month according to different mathematical rules. Each savings account had $500 in it last month and has $540 in it this month. (a) Assume the money in Account A is growing linearly: How much money will be in the account next month? How much money was in the account two months ago? How long will it take for the account to have at least $2500? Write an equation relating the amount of money in the account and the number of months from now. Clearly define the meaning of each variable in your equation, and interpret the meaning of each constant in your equation. (b) Assume the money in Account B is growing exponentially. How much money will be in the account next month? How much money was in the account two months ago? How long will it take for the account to have at least $2500? Write an equation relating the amount of money…arrow_forwardWhich of the following is the solution to the equation 25(z − 2) = 125? - Oz = 5.5 Oz = 3.5 Oz = -2.5 z = -0.5arrow_forward
- Analyze the graph below to identify the key features of the logarithmic function. 2 0 2 6 8 10 12 2 The x-intercept is y = 7, and the graph approaches a vertical asymptote at y = 6. The x-intercept is x = 7, and the graph approaches a vertical asymptote at x = 6. The x-intercept is y = -7, and the graph approaches a vertical asymptote at y = −6. The x-intercept is x = -7, and the graph approaches a vertical asymptote at x = −6.arrow_forwardCompare the graphs below of the logarithmic functions. Write the equation to represent g(x). 2 f(x) = log(x) 2 g(x) -6 -4 -2 ° 2 0 4 6 8 -2 - 4 g(x) = log(x) - g(x) = log(x) + 4 g(x) = log(x+4) g(x) = log(x-4) -2 -4 -6arrow_forwardWhich of the following represents the graph of f(x)=3x-2? 3 2 • 6 3 2 0- 0- • 3 2 0 -2 3arrow_forward
- 2) Suppose you start with $60 and increase this amount by 15%. Since 15% of $60 is $9, that means you increase your $60 by $9, so you now have $69. Notice that we did this calculation in two steps: first we multiplied $60 by 0.15 to find 15% of $60, then we added this amount to our original $60. Explain why it makes sense that increasing $60 by 15% can also be accomplished in one step by multiplying $60 times 1.15. 3) Suppose you have $60 and want to decrease this amount by 15%. Since 15% of $60 is $9, that means you will decrease your $60 by $9, so you now have $51. Notice that we did this calculation in two steps: first we multiplied $60 by 0.15 to find 15% of $60, then we subtracted this amount from our original $60. Explain why it makes sense that decreasing $60 by 15% can also be accomplished in one step by multiplying $60 times 0.85. 4) In the Read and Study section, we noted that the population in Colony B is increasing each year by 25%. Which other colony in the Class Activity…arrow_forward5) You are purchasing a game for $30. You have a 5% off coupon and sales tax is 5%. What will your final price be? Does it matter if you take off the coupon first or add in the tax first? 6) You have ten coupons that allow you to take 10% off the sales price of a jacket, and for some strange reason, the store is going to allow you to use all ten coupons! Does this mean you get the jacket for free? Let's really think about what would happen at the checkout. First, the teller would scan the price tag on the jacket, and the computer would show the price is $100. After the teller scans the first coupon, the computer will take 10% off of $100, and show the price is $90. (Right? Think about why this is.) Then after the teller scans the second coupon, the computer will take 10% off of $90. (a) Continue this reasoning to fill in the table below showing the price of the jacket (y) after you apply x coupons. (b) Make a graph showing the price of the jacket from x = 0 to x = 10 coupons applied.…arrow_forward(a) (b) (c) (d) de unique? Answer the following questions related to the linear system x + y + z = 2 x-y+z=0 2x + y 2 3 rewrite the linear system into the matrix-vector form A = 5 Fuse elementary row operation to solve this linear system. Is the solution use elementary row operation to find the inverse of A and then solve the linear system. Verify the solution is the same as (b). give the null space of matrix A and find the dimension of null space. give the column space of matrix A and find the dimension of the column space of A (Hint: use Rank-Nullity Theorem).arrow_forward
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