Step-by-step explanation:
Given
f(x) = 12x + 2
f^-1(x) = ?
Now
Let y = f(x)
or y = 12x + 2
Interchanging the role of x and y
x = 12y + 2
x - 2 = 12y
y = <u>x </u><u>-</u><u> </u><u>2</u>
12
Therefore f^-1(x) = <u>x </u><u>-</u><u> </u><u>2</u>
12
Hope it will help you.
Answer:
x = -6,3,15,-12; y = 11,5,-3,15
Step-by-step explanation:
Domain is the x value, so plugged in the x values into the equation and got the y values or range.
Just multiply the base times height times width which would give you 800
Answer:
Null hypothesis = 
Alternate hypothesis =
Step-by-step explanation:
Given : In a recent semester, the proportion who earned a bachelor's degree within six years was 0.395.
The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.
To Find : Determine the null and alternative hypotheses.
Solution:
In a recent semester, the proportion who earned a bachelor's degree within six years was<u> 0.395. </u>
Claim : the proportion of students who enroll in her institution <u>have a higher completion rate.</u>
So,null hypothesis = 
Alternate hypothesis =
Answer:
a = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a= ?
b= 3
c= 5 (c is always the hypotenuse)
*plug in given values
a^2 + 3^2 = 5^2
a^2 + 9 = 25
-9 -9
a^2 = 16
*find the square root
sqrt(a) = sqrt(16)
a = 4