Answer:
16.3
Step-by-step explanation:
You simply divide the 35.86 by 2.2 using long division or any method you'd like!
Answer:
32
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 5x - 4
g(x) = -4x - 12
Step 2: Find f(g(x))
f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4
f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4
f(g(x)) = 48x² + 288x + 432 + 20x + 64
f(g(x)) = 48x² + 308x + 496
Step 3: Find f(g(-4))
f(g(-4)) = 48(-4)² + 308(-4) + 496
f(g(-4)) = 48(16) - 1232 + 496
f(g(-4)) = 768 - 736
f(g(-4)) = 32
Answer:
![\frac{y-x}{x+y}](https://tex.z-dn.net/?f=%5Cfrac%7By-x%7D%7Bx%2By%7D)
Step-by-step explanation:
We are given that fraction
![\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7Bx%7D-%5Cfrac%7B1%7D%7By%7D%7D%7B%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7By%7D%7D)
We have to find the expression which is equivalent to given fraction .
![\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D-%5Cfrac%7B1%7D%7By%7D%3D%5Cfrac%7By-x%7D%7Bxy%7D)
![\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7By%7D%3D%5Cfrac%7Bx%2By%7D%7Bxy%7D)
Substitute the values then, we get
![\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7By-x%7D%7Bxy%7D%7D%7B%5Cfrac%7By%2Bx%7D%7Bxy%7D%7D)
We know that
![\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%7B%5Cfrac%7Bx%7D%7By%7D%7D%3D%5Cfrac%7Ba%7D%7Bb%7D%5Ctimes%20%5Cfrac%7By%7D%7Bx%7D)
Using the property then, we get
![\frac{y-x}{xy}\times \frac{xy}{x+y}](https://tex.z-dn.net/?f=%5Cfrac%7By-x%7D%7Bxy%7D%5Ctimes%20%5Cfrac%7Bxy%7D%7Bx%2By%7D)
![\frac{y-x}{x+y}](https://tex.z-dn.net/?f=%5Cfrac%7By-x%7D%7Bx%2By%7D)
This is required expression which is equivalent to given expression.
First compute the coefficient like this:
![C_5^1=\frac{5!}{1!(5-1)!}=\frac{5!}{4!}=\frac{5\times4!}{4!}](https://tex.z-dn.net/?f=C_5%5E1%3D%5Cfrac%7B5%21%7D%7B1%21%285-1%29%21%7D%3D%5Cfrac%7B5%21%7D%7B4%21%7D%3D%5Cfrac%7B5%5Ctimes4%21%7D%7B4%21%7D)
Simplifying the fraction over 4! we get:
![C_5^1=5](https://tex.z-dn.net/?f=C_5%5E1%3D5)
and the variables are
![s^4v](https://tex.z-dn.net/?f=s%5E4v)
. So answer
![5s^4v](https://tex.z-dn.net/?f=5s%5E4v)
.
The correct answer is C then.
Answer:
store A- 4
Store B-1
Store C-3
Store D- 2
Step-by-step explanation:
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