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1) the owner of a video store has determined that the cost C, in dollars, of ope

ID: 3426467 • Letter: 1

Question

1) the owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x)=2x^2-22x+600, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
2) form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
Zeros: -3,-2,3; degree 3
3. Use the intermediate value theorem to determine the polynomial function has a zero in the given interval.
f(x)=-5x^4-8x^2+7; [-1,0] 1) the owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x)=2x^2-22x+600, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
2) form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
Zeros: -3,-2,3; degree 3
3. Use the intermediate value theorem to determine the polynomial function has a zero in the given interval.
f(x)=-5x^4-8x^2+7; [-1,0]
2) form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
Zeros: -3,-2,3; degree 3
3. Use the intermediate value theorem to determine the polynomial function has a zero in the given interval.
f(x)=-5x^4-8x^2+7; [-1,0]

Explanation / Answer

1) C(x)=2x^2-22x+600, where x is the number of videos rented daily

lowest cost to the nearest dollar.


Its a quadratic function minimum would occur at vertex:

x = -b/2a = -(-22/2*2) = 11/2

C(11/2) = 2(11/2)62 - 22(11/2) +600

= $ 638.5

2) zeros : x= -3 , -2 , ,3

F(x) = (x+3)(x+2)(x-3)