Answer:
c=2
Step-by-step explanation:
All polynomials are continuous and differentiable on the set of real numbers.
So we just need to confirm on the given interval that f(1)=f(3).
f(1)=1-12(1)+3(1)^2
f(1)=1-12+3
f(1)=-8
f(3)=1-12(3)+3(3)^2
f(3)=1-36+27
f(3)=-8
So this means there is c in (1,3) such that f'(c)=0.
To solve that equation we must differentiate.
f(x)=1-12x+3x^2
f'(x)=0-12+6x
f'(x)=-12+6x
Remember we need yo solve f'(c)=0 for c.
So we need to solve -12+6c=0.
-12+6c=0
Add 12 on both sides:
6c=12
Divide both sides by 6:
c=2
Answer:
36
Step-by-step explanation:
keep, flip, change...
24 ÷ 
would be the same as 
× 
which is equal to 
(36 if you simplify it)
9514 1404 393
Answer:
Step-by-step explanation:
Consider the answer choices.
3 & 5: product 15, sum 8 . . . . product > sum
2 & 2: product 4, sum 4 . . . . product = sum (not >)
1 & 4: product 4, sum 5 . . . . product < sum (not >)
Of the offered choices there are two counter examples:
2 and 2
1 and 4
_____
<em>Additional comment</em>
Chances are that the preferred answer is 1 and 4.
1 and <anything> will be a counterexample.
29 over 9 is the improper fraction
The answer is <span>25; it represents the hourly wage for the worker
</span>
<span> y = 8x + 25
x is hours
y depends on x hours so y-intercept represent the hourly wage.
The y-intercept is y when x = 0:
y = 8x + 25
x = 0
____
y = 8 * 0 + 25
y = 0 + 25
y = 25</span>
