Answer:
Step-by-step explanation:
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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 most important part of this question is the estimation. That means you round either up or down to get whole numbers.
You can make - 37.44 either - 40 or - 35
You can make 4.8 into 5
So the answer should lie between -40/5 = - 8
or
The answer should be between - 35/5 = - 7
Use your calculator to check it.
-37.44 ÷ 4.8 = - 7.8
This skill is very handy when shopping or writing a test. It you get an outrageous answer like - 21.44 you know you have done something wrong.
Answer:
![m>2.40](https://tex.z-dn.net/?f=m%3E2.40)
Step-by-step explanation:
Let m denotes the number of minutes of phone use in a month.
In plan a there is no monthly fee, but the customer pays 8 cents per minute of use.
Total cost of plan a = ![8m](https://tex.z-dn.net/?f=8m)
In Plan B the customer pays a monthly fee of $2.40 and then an additional 7 cents per minute of use.
Total cost of plan b = ![2.40+7m](https://tex.z-dn.net/?f=2.40%2B7m)
To find amount of monthly phone use for which plan a cost more than plan b, solve the inequality
.
![8m>2.40+7m\\8m-7m>2.40\\m>2.40](https://tex.z-dn.net/?f=8m%3E2.40%2B7m%5C%5C8m-7m%3E2.40%5C%5Cm%3E2.40)
<span>the smaller angle is 2x = 2 times 18 = 36 degrees.
the larger angle is 3x = 3x = 3 * 18 = 54 degrees.
</span>