Answer:
D. ![\frac{x-1}{x^2+3x+2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7Bx%5E2%2B3x%2B2%7D%7D)
Step-by-step explanation:
The given expression is;
![\frac{x}{x^2+3x+2}-\frac{1}{(x+2)(x+1)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E2%2B3x%2B2%7D-%5Cfrac%7B1%7D%7B%28x%2B2%29%28x%2B1%29%7D)
This is the same as;
![\frac{x}{(x+2)(x+1)}-\frac{1}{(x+2)(x+1)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B%28x%2B2%29%28x%2B1%29%7D-%5Cfrac%7B1%7D%7B%28x%2B2%29%28x%2B1%29%7D)
The denominators are the same.
Subtract the numerators and write one denominator;
![\frac{x-1}{(x+2)(x+1)}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7B%28x%2B2%29%28x%2B1%29%7D%7D)
Rewrite to get;
![\frac{x-1}{x^2+3x+2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7Bx%5E2%2B3x%2B2%7D%7D)
Answer: B.
![4x - 2y = 8\\-4x + 2y = -8](https://tex.z-dn.net/?f=4x%20-%202y%20%3D%208%5C%5C-4x%20%2B%202y%20%3D%20-8)
Step-by-step explanation:
Let's solve your system by elimination.
4x−2y=8;−2x+2y=6
Add these equations to eliminate y:
4x-2y=8
-2x+2y=6
2x=14
Substitute 7 for x in 4x−2y=8:
(4)(7)−2y=8
−2y+28=8 (Simplify both sides of the equation)
−2y+28+−28=8+−28 (Add -28 to both sides)
−2y=−20
−2y/−2=−20/−2 (Divide both sides by -2)
y=10
There are 10 marbles in the bag all together.
(8/10) = 80% of the marbles in the bag are white.
So if you pull a marble out of the bag, you have an 80% chance
of pulling a white one.
And if you do it many times, you expect that you'll pull
a white one out about 80% of the times.
80% pf 45 times = 0.8 x 45 = 36 times .
Answer:
![y=\frac{-x(x+1)}{x+1} +5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-x%28x%2B1%29%7D%7Bx%2B1%7D%20%2B5)
Step-by-step explanation:
This function has a slope of -1, a hole at x = -1, and a y-intercept of 5
The exponential function that represents the number of cells present at x hours is y = 100(2)ˣ
<h3>What is an
exponential function?</h3>
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Let y represent the number of cells after x hours.
From the table, at point (0, 100):
100 = ab⁰
a = 100
At point (1, 200):
200 = 100b
b = 2
The exponential function is y = 100(2)ˣ
Find out more on exponential function at: brainly.com/question/12940982