Homework Sourse1 the owner of a video store has determined that the cost C
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]
Solution
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)
