Answer:
f(-8) = 64
Step-by-step explanation:
The question is simply asking us to evaluate for f(x) when x = -8:
f(-8) = (-8)²
f(-8) = 64
Given:
at an angle of 45°.
at an angle of 150°.

To find:
Magnitude and direction angle of w.
Solution:
We have,


Now,




Using these information, we get







Now,





Therefore, the correct option is D.
Answer: b) (x - 2)(x + 1)(x + 3)
<u>Step-by-step explanation:</u>
Look at the graph to find the x-intercepts (where the graph crosses the x-axis).
x = 2 x = -1 and x = -3
Now rearrange each of those equation so they are equal to zero:
x - 2 = 0 x + 1 = 0 and x + 3 = 0
Next, combine them (using multiplication):
(x - 2) (x + 1) (x + 3) = 0
Lastly, evaluate the sign of the a-value (coefficient of the polynomial):
Since the right side of the graph goes to POSITIVE infinity, then the a-value is positive.
First lets consider the regular numbers here. 15 + 24. That gives us 39. Next we consider the variables. There's 0 a's in the first part, and 1 in the second part. So you simply get 1a added on top of the 39. Next, the x variable. There's one on each part, so just add them together to get x^2 (Note that you must do it this way rather than getting 2x since you're only adding x's, so when adding/subtracting variables on its own, its expressed as an exponent). With all this in mind, you'd get answer A