3.1 Homework Solve each equation. Remember to check for extraneous solutions. 1) V-2 -n = V3n + 22 2) x= V-18 + 11x %3D 3) V9- 8r = V1-4r +2 4) V3r +9 = V1 -x- 2

Q: Sxi = -2x1 + xX2 lx2 = -3x1 – 2x2 %3D

A:

Q: solve each equation. 3(2x - 1) - 2(x + 5) = -(x - 3)

A: Given- 32x-1-2x+5=-x-3 To solve- The above equation.

Q: Number of Years Value of Piano Since Purchase (v) (f) $5,000 $4,000 $3,200 1

A: In the equation v=mt+c, c represents the initial value and m represents the rate of increase or…

Q: Which equation has the same solution as x2 + 19x + 19 = 5? O (x – 9.5)² = 76.25 %3D - O (x +9.5)² =…

A: x² + 19x + 19 = 5 So, x² + 19x = 5 - 19 So, x² + 19x = - 14 So, x² + 2•x•(9.5) + (9.5)² = (9.5)² -…

Q: 3(2x-5)-6x-15

A:

Q: Match each equation from the first set with an equivalent equation from the second set. Some of the…

A: Match each equation from the first set with an equivalent equation from the second set.

Q: 2. -6a – 4(a - 3) = -6a + 15 %3D

A: Let's solve.

Q: 3) The perimeter of your classroom is 100 feet. Let W be the width of the room (in feet) and let L…

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Q: 1 Explain if the point ( -2, 4) is a solution to the sytesm 3x + 4y = 10 and - 3x + y = 15 2

A: System of equations solution.

Q: x=1-1+4x+y

A: Given equation,    x=1-1+4x+y Solving it to make reduced form,  x = 4x + y -3x = y

Q: Which of the following has no solution? 3x²+2 y%=D36 4x-y'=4 4x²+9 y=5 y=x² B.

A: Given equations:- A) 3x2+2y2=36      4x2-y2=4 B) 4x2+9y2=5       y=x2 c)9y2-2x2=1    3y2-7x2=5 D)…

Q: Find the solution of y = x2 + 6x - 8 and y = 4x+7

A:

Q: x² + 20xtlo0 X2 -100

A: Given : f(x) = x2 + 20x + 100x2 - 100   To find x-intercept and y-intercept of the given function.

Q: Sxi = -2x1 + x2 lx2 = -3x1 – 2x2 Solve. %3D

A: We need to solve the given system of differential equation first we will convert the system of…

Q: Transrer sal

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Q: 25x2+16y2-600x-256y+4224=0 What is the standard form of the equation?

A:

Q: Which problem situation can be represented by the equation , 7x + 40 = 60+5x where x represents…

A: Consider the provided equation, 7x+40=60+5x. Find the value of x.

Q: Solve the equation

A: Given equation:                        7-2x - 5+x = 4+3x

Q: True or false: 4 is a solution of V5x + 16 = x + 2.

A: We have to say that the given statement is true or false: 4 is the solution of 5x+16=x+2. To check…

Q: -3x2+4x+5=2x Determine if x=-1 is the solution to this equation?

A: Calculation:The given equation is –x2+4x+5 = 2x.Substitute the value x = –1 in the above equation…

Q: 7.) At the beginning of the summer, the water level of a pond is 2 feet below its normal level.…

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Q: 4 x 5 y = a -3 x 4 y %3D - y =

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Q: 9x²-3x-8=-10 a= b= C= D= D²-4( D= D= Solutions This means there are

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Q: -5x+3+2x=7x-8+9x, determine whether this equation has no solution

A: Explanation of the answer is as follows

Q: Which equation has the same solution as x2 + 8x + 19 = 1? O (x – 4)² = –34 %3D (x – 4)² = -2 O (x +…

A: x² + 8x + 19 = 1 So, (x² + 2•x•4 + 4²) + 3 = 1 So, (x + 4)² = - 2

Q: Does the following equation have one solution, infinite solutions or no solution? 3(2x-5) = 4X+11

A: We have to solve the equation: 32x-5=4x+11 Solving equation, 32x-5=4x+113×2x-3×5=4x+116x-15=4x+11

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.