There are 4 quarts in a gallon so 1/4 is a quart
Answer: A. 4(8x + 2), and C. 32x + 8
Step-by-step explanation:
Put the equations together and if they have infinitely many solutions they'll both be equal to each other.
CORRECT 4(7x + 2 + x)=4(8x + 2)
7x+2+x=8x+2
8x+2=8x+2 (Infinitely Many Solutions)
CORRECT 4(7x + 2 + x)=32x+8
4(8x+2)=32x+8
32x+8=32x+8
32x+8=32x+8 (Infinitely Many Solutions)
INCORRECT 4(7x + 2 + x)=4(7x + 3)
8x+2=7x+3
8x=7x+1
8x−7x=1
x=1
INCORRECT 4(7x + 2 + x)=28x + 12
4(8x+2)=28x+12
32x+8=28x+12
32x=28x+4
32x−28x=4
4x=4
x=1
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)
- Cutiepatutie ☺❀❤
Answer: b. -2x+3y=12
Step-by-step explanation: the y intercept is 4, and the line intercepts the x- axis at -6. Therefore, the slope of the line is 4/6=2/3. The format for a linear equation is y=(slope)x+y intercept. So the equation would be y=2/3x+4. You can see that answer b simplifies to that. Add 2x from both sides of the equation and you get 3y=2x+12. Divide both sides of the equation by 3 and you get y=2/3x+4
Answer:

Step-by-step explanation:
Plugging these coordinates into this equation will give you this:
3 - 9 = −6 ☑
* This is a genuine statement.
I am joyous to assist you anytime.
The value of K for which f(x) is a valid probability density function is 1/4.
<h3>How to solve for the value of K</h3>


![K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1](https://tex.z-dn.net/?f=K%5B%5Cfrac%7B2%5E2%7D%7B2%7D%20-0%5D%2B%5BK%5B4%284-2%29-%28%5Cfrac%7B4%5E2%7D%7B2%7D%20-%5Cfrac%7B2%5E2%7D%7B2%7D%20%29%5D%3D1)
open the equation
![K\frac{4}{2}+K[8 - (\frac{16}{2} -\frac{4}{2} )] = 1\\](https://tex.z-dn.net/?f=K%5Cfrac%7B4%7D%7B2%7D%2BK%5B8%20-%20%28%5Cfrac%7B16%7D%7B2%7D%20%20-%5Cfrac%7B4%7D%7B2%7D%20%29%5D%20%3D%201%5C%5C)
![2K+K[\frac{4}{2} ]=1](https://tex.z-dn.net/?f=2K%2BK%5B%5Cfrac%7B4%7D%7B2%7D%20%5D%3D1)
2K + 2K = 1
4K = 1
divide through by 4
K = 1/4
Read more on probability density function here
brainly.com/question/15714810
#SPJ4