The thompson family is buying a car that can travel 70 miles of two gallons of gas. Assume that the distance traveled in miles y varies directly with the amount of gas used x. This can be represented by y = 35x. Graph the equation on the coordinate plane. How many miles does the car get per gallon of gas?

44

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

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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! : )

cretdit to source

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cool? what is the actuall ?

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