62,900
21,000
126,300
856,700
Ah, great question. Let me help you on this one.
We need to balance both equations for this to work out. This is needed because question asks us for an x variable that will make both equations equal to each other.
Let's write it out so it's easier for us to understand.
Let's not forget to multiply both sides by 100.
![4500+(250x)=375x](https://tex.z-dn.net/?f=4500%2B%28250x%29%3D375x)
Let's start by subtracting 45 from both sides.
![4500+(250x)-4500=375x-4500](https://tex.z-dn.net/?f=4500%2B%28250x%29-4500%3D375x-4500)
Let's simplify it.
![250x=375x-4500](https://tex.z-dn.net/?f=250x%3D375x-4500)
Now, we need to subtract 375 from both sides.
![250x - 375=375x-4500+(-375)](https://tex.z-dn.net/?f=250x%20-%20375%3D375x-4500%2B%28-375%29)
Simplify it once again.
![-125x=-4500](https://tex.z-dn.net/?f=-125x%3D-4500)
Divide both sides by -125
This plan will be the same cost after 36 movies.
Answer:
P(x) = (x - 1)(x + 2)(x - 3)(3x + 1)
Step-by-step explanation:
Since P(1) = 0 and P(- 2) = 0, then
(x - 1) and (x + 2) are factors of P(x)
(x - 1)(x + 2) = x² + x - 2 ← is also a factor of P(x)
dividing 3
- 5x³ - 17x² + 13x + 6 by x² + x - 2 gives
P(x) = (x - 1)(x + 2)(3x² - 8x - 3) = (x - 1)(x + 2)(x - 3)(3x + 1)
Answer:
![10\frac{2}{15}](https://tex.z-dn.net/?f=10%5Cfrac%7B2%7D%7B15%7D)
Step-by-step explanation:
We want to write
in simplest form
We convert the mixed numbers to improper fraction.
![\frac{16}{5}*\frac{19}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B5%7D%2A%5Cfrac%7B19%7D%7B6%7D)
We look for common factors to cancel out
![\frac{8*2}{5}*\frac{19}{2*3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%2A2%7D%7B5%7D%2A%5Cfrac%7B19%7D%7B2%2A3%7D)
![\frac{8}{5}*\frac{19}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B5%7D%2A%5Cfrac%7B19%7D%7B3%7D)
We multiple the numerators and the denominators to get:
![\frac{8*19}{5*3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%2A19%7D%7B5%2A3%7D)
This simplifies to:
![\frac{152}{15}=10\frac{2}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B152%7D%7B15%7D%3D10%5Cfrac%7B2%7D%7B15%7D)
Answer:ok I’ll join
Step-by-step explanation: