Inverse function:
The only one that has an inverse that is a function is the third option because is a linear function (bijective)
y=1/3x-3/4
First, solve for x:
Add 3/4 to both sides:
y+3/4 = 1/3x-3/4+3/4
y+3/4 = 1/3x
Multiply both sides by 3
(y+3/4) 3 = 1/3x (3)
3y+ 9/4 = x
F^-1(y) = 3y+ 9/4
The bathtub will hold 74.375 ft^3 (or cubic feet) of water. To find the volume of the rectangular prism shape, use the formula v=lwh, which means volume=length*width*height; where * is the symbol for multiplication.
Well you jus t split a box into 4parts and each box is worth 5
4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.
Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.
Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.
Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime
Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.
For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.
Therefore we are left with n = 1 and n = 3; only two values of n.</span>
Answer:
1.D 2.D 3.B 4.B 5.B 6.B 7.C 8.C 9. Tickets sold/money collected
10. Tickets sold 11. Money collected 12. The money collected is 2 times more than tickets sold. 13. 80 dollars 14. 6 hours 15. Go by 25 on the y-axis (25 on first line, 50 on second line, 75 on 3rd line) and match them up to your table.
P.S. I'm not sure about my responses. Go check to make sure I'm right on them.
Step-by-step explanation:
