Finish solving the system of equations 3x + 5y = −72 and 2x + 3y = –45 using the linear combination method.

Step 1: Create an equivalent system with opposite terms:
−2(3x + 5y = −72) → −6x − 10y = 144
3(2x + 3y = −45) → 6x + 9y = −135

Step 2: Add the equivalent system of equations to eliminate a variable: −y = 9

Step 3: Solve for the first unknown variable: y = −9

Step 4: Substitute the value of the first variable into one of the original equations: 2x + 3(−9) = −45

Step 5: Solve for the second unknown variable and write the solution as an ordered pair:

What is the solution to the system?

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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35 is an outlier

step-by-step explanation: