A clown creates an equation that relates his data of each child´s head size to the length of the balloon he needs to make them a proper balloon-animal hat. For each child, he needs a ballon five times as long as the child´s head size, plus 4/5 of an inch extra. Complete a linear equation for a child A, where X is the size of the child´s head in inches and Y is the length of the balloon in inches.

If x is the size of the child's head, 5 times that would be 5x and "plus 4/5" is + 4/5 so the equation is y = 5x + 4/5.

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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2 apples

step-by-step explanation:

taking away equals subtraction. 6-4=2