Which of the following quantities are inversely proportional? 1.the amount of time spent plowing a 358-acre farm and the number of identical tractors 2.the length of fabric bought for $74.50 and the price of one yard 3.the amount of time spent plowing a field and the amount of fuel used by a tractor 4.the height of a rectangular prism and the area of its base, if the volume is 56 in3 only if you are absolutly sure

Option 1 and option 4 are inversely proportional.

Inversely proportional means when one variable increases the other decreases in proportion.

Option 1 is true. When the number of tractors increases, the time to plow a farm decreases.

Option 4 is also true. If height is too large, base area should be too less to equalize the area.

a negative exponent is translated as follows:

so, we have

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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