We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.
Answer:
one million two hundred thirty four thousand six hundred seventy eight
Complete question :
A company has two manufacturing plants with daily production levels of 5x + 11 items and 2x - 3 items, respectively, where x represents a minimum quantity. The first plant produces how many more items daily than the second plant?
Answer:
3x + 14
Step-by-step explanation:
Given that:
Production level of plant 1 = 5x + 11
Production level of plant 2 = 2x - 3
The first plant produces how many more items daily than the second plant :
Plant 1 production - plant 2 production
(5x + 11) - (2x - 3)
Open the bracket :
5x + 11 - 2x + 3
5x - 2x + 11 + 3
3x + 14
Daily production of plant 1 exceeds that of plant 2 by 3x + 14
Answer:
The third option (foot/1 hour)
Step-by-step explanation:
H(x)=x²
g(h(x))=4(x²)²=4x^4
f(g(h(x)))=2(4x^4)+1=8x^4+1
B is the answer.