A. & B. Is the correct answer.
Answer:
A ( -2 , 9 )
Step-by-step explanation:
<u>Idea:</u> You find the first derivative of f(x), and then set it equal to the desired slope. You'll find some x. That we will use to find the point.
f'(x) = 3x^2 + 12x + 20
f'(x) = 8
3x^2 + 12x + 20 = 8
3x^2 + 12x + 12 = 0
3 ( x^2 + 4x + 4 ) = 0
3 ( x + 2 )^2 = 0
x + 2 = 0
x = -2
So, the desired point is:
A ( -2, f(-2) ) --> A ( -2 , 9 )
X^2 = 81...take the square root of both sides, eliminating the ^2
x = (+-) sqrt 81
x = (+-) 9
answers are : -9 and 9
Do you have a picture where I can understand it much better?
Answer: Choice A
The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is <u> 15 </u> , which is not equal to the product of the numerator of the second fraction and the denominator of the first fraction <u> 16 </u>
===================================================
Explanation:
We have the template 
which cross multiplies to 
So if 
was true, then 
must be true as well, and vice versa.
The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.
In short, turns into 
which is a false statement. So the original claim that is also false.
