Answer:
The x-intercept is the point (22,0)
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
take the points
(-38,40) and (-23,30)
substitute the given values
![m=\frac{30-40}{-23+38}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B30-40%7D%7B-23%2B38%7D)
![m=\frac{-10}{15}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-10%7D%7B15%7D)
![m=-\frac{2}{3}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B2%7D%7B3%7D)
step 2
Find the equation of the line in point slope form
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![m=-\frac{2}{3}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B2%7D%7B3%7D)
![point\ (-8,20)](https://tex.z-dn.net/?f=point%5C%20%28-8%2C20%29)
substitute
![y-20=-\frac{2}{3}(x+8)](https://tex.z-dn.net/?f=y-20%3D-%5Cfrac%7B2%7D%7B3%7D%28x%2B8%29)
step 3
Find the x-intercept
Remember that the x-intercept is the value of x when the value of y is equal to zero
so
For y=0
![0-20=-\frac{2}{3}(x+8)](https://tex.z-dn.net/?f=0-20%3D-%5Cfrac%7B2%7D%7B3%7D%28x%2B8%29)
solve for x
![-20=-\frac{2}{3}x-\frac{16}{3}](https://tex.z-dn.net/?f=-20%3D-%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B16%7D%7B3%7D)
Multiply by 3 both sides
![-60=-2x-16](https://tex.z-dn.net/?f=-60%3D-2x-16)
![2x=60-16\\2x=44\\x=22](https://tex.z-dn.net/?f=2x%3D60-16%5C%5C2x%3D44%5C%5Cx%3D22)
therefore
The x-intercept is the point (22,0)
Answer:
Step-by-step explanation:
The volume is the product of the 3 dimensions. We have
<h2>V = (4a²b³)(2ab)(3ab²)</h2>
V = 24(a^4)(b^6)
B. y = 7x
7x is the steady rate of 7 gallons per minute. The number of minutes can also be plugged into x to find the volume of the pool after x minutes.
For the explicit formulae, the final answers are boxed.
The answer is C elimination