Answer:
2w = -10
-10 / 2 = -5
Answer: -5
Step-by-step explanation:
Answer:
i think D or F
Step-by-step explanation:
Answer:
The ratio of the volumes of the two soup cans is 2.
Step-by-step explanation:
The volume of a cylinder can be written as:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
where r is the radius of the base and h is the height.
If the height of the second cylinder doubles the height of th first cylinder, the ratio of volume between the second and the first cylinder is:
![\dfrac{V_2}{V_1}=\dfrac{\pi r^2 h_2}{\pi r^2 h_1}=\dfrac{\pi r^2 (2h)}{\pi r^2 h}=\dfrac{2}{1}=2](https://tex.z-dn.net/?f=%5Cdfrac%7BV_2%7D%7BV_1%7D%3D%5Cdfrac%7B%5Cpi%20r%5E2%20h_2%7D%7B%5Cpi%20r%5E2%20h_1%7D%3D%5Cdfrac%7B%5Cpi%20r%5E2%20%282h%29%7D%7B%5Cpi%20r%5E2%20h%7D%3D%5Cdfrac%7B2%7D%7B1%7D%3D2)
The ratio of the volumes of the two soup cans is 2.
Answer:
![\frac{x-8}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-8%7D%7B7%7D)
Step-by-step explanation:
A way to find the inverse function is to swap the x and y (f(x)) in the equation.
![y = 7x + 8\\x = 7y + 8\\x-8 = 7y\\y = \frac{x-8}{7}](https://tex.z-dn.net/?f=y%20%3D%207x%20%2B%208%5C%5Cx%20%3D%207y%20%2B%208%5C%5Cx-8%20%3D%207y%5C%5Cy%20%3D%20%5Cfrac%7Bx-8%7D%7B7%7D)
We can check that it is an inverse function by using a property of inverse functions:
![f(g(x)) = x](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20x)
If we plug in the f(x) function into the variable x of the inverse function, we should end up with x
![y = \frac{(7x + 8) - 8}{7}\\y = \frac{7x}{7} \\y = x\\](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%287x%20%2B%208%29%20-%208%7D%7B7%7D%5C%5Cy%20%3D%20%5Cfrac%7B7x%7D%7B7%7D%20%5C%5Cy%20%3D%20x%5C%5C)
It checks out!
Answer: 9/4
Step-by-step explanation: Think of
as
.
Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and
we can change 9⁻¹ to 9¹ by moving it to the numerator.
So we have 9¹/4¹ which simplifies to 9/4.