Answer: 1/4
Step-by-step explanation: Typing steps
Find the Slope
(−1, −2) , (3, −1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = ---------------
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called r ise).
y2 − y1
m = -----------
x2 − x1
Substitute in the values of x and y into the equation to find the s lope.
m = −1 − (−2)
/3 − (−1)
Simplify the numerator.
Multiply −1 by −2.
m = −1 + 2
/3 − (−1)
Add −1 and 2.
m = 1/3 − (−1)
Simplify the denominator.
Multiply −1 by −1.
m = 1/3 + 1
Add 3 and 1.
m = 1/4
46 because if the age of the son was 8 then the father was 24 and if we add 8 (because that’s how many years passed) we get 16 and 32 which fit the criteria so if we take off 1 year on each (because only 7 years pass instead of 8) we can add them together and get 46
List all the info:
3/8 gallon of white paint
2 7/8 gallon of blue paint
11/4 gallon of red paint
First, let’s answer the first question.
Francis has made _____ gal of paint when he first mixes the three colors.
Add all the gallons of paints together and you get 6. So, Francis has made 6 gal of paint when he first mixes the three colors.
Now for the second blank. All you have to do is do 6 divided by 3/8 which is 16. So, The constant of proportionality of white paint to gallons of mixed paint is 16.
Lastly, you will have to do is 3/8 x 7 = 2 5/8. (Im not too sure about this part though, but the rest I‘m pretty confident about)
Answer:
-9 
or
-9.25
Step-by-step explanation:
Answer:
y = x + 2
Step-by-step explanation:
You can find the slant asymptote using polynomial long division because the numerator is one degree higher than the denominator.
(x^2+x+4)/(x-1)
I'm not sure how to show long division but you should get:
x+2 with remainder 6
Then your slant asymptote is y = x + 2
You can graph it on Desmos to verify
