The answer is the 24th customer
You need to find the LCM of 6 and 8.
If you prime factorize both you get…
6=(2)(3)
8=2^3
So 2^3, which is 8 times 3 is 24.
The answer is the 24th customer.
5(-2)^3 5(-2) is -10 to the power of 3 is -1000
Question 3
if 7x = 28
divide both sides by 7
7x/7 = 28/7
x = 4
This is division property of equality
Question 1
if angle m is 80 degrees the m = 80 degrees
this can be a congruent angles or alternate angles are equal
this is symmetric property of equality
Question 5
m1 = 30 and mz1 = m2, then m2 = 30
this property is transitive property of equality
Question 2
if RS - TU and TU =YP, then RS = YP
this means you can substitute RS with YP
then we have our new expression as
YP - YP
this is substitution property of equality, this is because we are substituting a function with another function
1/5 x 100 = 20%
Answer: 20%
Answer:
The functions are inverses; f(g(x)) = x ⇒ answer D
⇒ answer D
Step-by-step explanation:
* <em>Lets explain how to find the inverse of a function</em>
- Let f(x) = y
- Exchange x and y
- Solve to find the new y
- The new y = 
* <em>Lets use these steps to solve the problems</em>
∵ 
∵ f(x) = y
∴ 
- Exchange x and y
∴ 
- Square the two sides
∴ x² = y - 3
- Add 3 to both sides
∴ x² + 3 = y
- Change y by 
∴ 
∵ g(x) = x² + 3
∴ 
∴ <u><em>The functions are inverses to each other</em></u>
* <em>Now lets find f(g(x))</em>
- To find f(g(x)) substitute x in f(x) by g(x)
∵ 
∵ g(x) = x² + 3
∴ 
∴ <u><em>f(g(x)) = x</em></u>
∴ The functions are inverses; f(g(x)) = x
* <em>Lets find the inverse of h(x)</em>
∵ h(x) = 3x² - 1 where x ≥ 0
- Let h(x) = y
∴ y = 3x² - 1
- Exchange x and y
∴ x = 3y² - 1
- Add 1 to both sides
∴ x + 1 = 3y²
- Divide both sides by 3
∴ 
- Take √ for both sides
∴ ± 
∵ x ≥ 0
∴ We will chose the positive value of the square root
∴ 
- replace y by 
∴ 