Hi there!
First replace m(x) by y.
To find the inverse function we must switch the places from the variables x and y.
Now we need to isolate the y again to find the formula of the inverse function. First add 5 to both sides.
Switch sides.
And finally divide both sides by 5.
And therefore we can conclude the following:
The answer is C.
~ Hope this helps you!
Answer:
5.18 miles each day
Step-by-step explanation:
3 weeks × 6 days = 18 days
93.24 miles in 18 days gives an average of 93.24 ÷ 18 = 5.18 miles per day
Answer:
C. 6 gallons < 25 quarts.
E. 80 pints = 40 quarts.
Step-by-step explanation:
A. There are 8 fluid oz in 1 cup.
Multiply 8 with 6:
6 cups x 8 = 48 fl oz.
44 fl oz < 48 fl oz ∴ A. is false.
B. There are ~6.67 pints in 1 gallon.
Multiply 6 gallon with 6.67:
6 gallon x 6.67 = ~40.02 pint.
47 pint > 40.02 pint ∴ B. is false.
C. There is 4 quarts in 1 gallon.
Multiply 6 gallons with 4:
6 gallon x 4 = 24 quarts.
24 quarts < 25 quarts ∴ C. is true.
D. There is 4 cups in 1 quarts.
Multiply 7 with 4 and add 4:
7 quarts x 4 = 28 + 4 = 32
32 cups < 34 cups ∴ D. is false.
E. 1 quart = 2 pint
You are given 80 pints:
80/2 = 40 quarts ∴ E. is true.
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Slope is the change in y-values divided by the change in x-values. You can use the following formula to calculate slope:
y₁ - y₂ / x₁ - x₂
The coordinates: (1, 7) and (10, 1)
y₁ = 7
y₂ = 1
x₁ = 1
x₂ = 10
7 - 1 / 1 - 10
6 / -9
-2 / 3
Answer:
The slope of the line that passes through the points (1, 7) and (10, 1) is -2/3.