Afamily drove to their grandmothers house. after that they averaged 200 miles per day for 8 days. they drove a total of 1,880 miles over the eight days. assume the relationship is linear. find and interpret the rate of change and initial value.

The family drove 200 miles per day and the initial value of distance drove to their grandmothers house is 280 miles.

Step-by-step explanation:

Given :  A family drove to their grandmothers house.

After that they averaged 200 miles per day for 8 days.

i.e.  The rate of change = 200 miles per day. [Rate of change is a constant in a linear relationship.]

i.e. Total distance traveled after a family drove to their grandmothers house.  = 200 x 8  = 1600 miles

Now , the initial value of distance drove to their grandmothers house. = 1880-1600 miles

= 280 miles

Hence , the family drove 200 miles per day and the initial value of distance drove to their grandmothers house is 280 miles.

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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