Answer:
9/15 = 3/5 (simplified)
Step-by-step explanation:
In a right triangle, the cosine is the ratio of the adjacent side to the hypotenuse:

The adjacent side is the side that makes up the angle but is not the hypotenuse.
I'm assuming the answer box should ask for cos(theta) rather than cos(x).
Answer:
0.5 = 3
1.5 = 9
4.5 = 27
Step-by-step explanation:
To find the inverse of this function, we first need to replace f(x) with y.
y = 2x^2 + 3
Now, we swap x and y
x = 2y^2 + 3
Now, we solve for y.
-3
x - 3 = 2y^2
Sqrt both sides.
√(x - 3) = 2y
Divide by 2
√(x - 3)/2 = y
Replace y with f^-1(x)
√(x - 3)/2 = f^-1(x)
Just realized you were asking for f(-1), not f^-1(x)
Feels bad.
f(-1) = 2(-1^2 + 3)
f(-1) = 2(-1^5)
f(-1) = 2(-1)
<u>f(-1) = -2</u>
I'm leaving the original answer in case you also need the inverse function. :)
For this case we have the following function:
![s (V) = \sqrt [3] {V}](https://tex.z-dn.net/?f=s%20%28V%29%20%3D%20%5Csqrt%20%5B3%5D%20%7BV%7D)
This function describes the side length of the cube.
If Jason wants a cube with a minimum volume of 64 cubic centimeters, then we propose the following inequality:
![s \geq \sqrt [3] {64}](https://tex.z-dn.net/?f=s%20%5Cgeq%20%5Csqrt%20%5B3%5D%20%7B64%7D)
Rewriting we have:
![s \geq \sqrt [3] {4 ^ 3}\\s \geq4](https://tex.z-dn.net/?f=s%20%5Cgeq%20%5Csqrt%20%5B3%5D%20%7B4%20%5E%203%7D%5C%5Cs%20%5Cgeq4)
Answer:
Option B