Answer:
5x=90 x=90/5=18. So, the answer is 18.
?.....OH these are steps xD
a. and b.
<span>P(1,2,0), Y(-2,3,0), R(3,4,0), and A (2,1,5).
c. and d.</span><span>
</span>P(3,6,-3), Y(0,7,-3), R(5,8,-3), and A (4,5,2).
First do 8-3 and get 5
(5)!....
This means 5 x 4 x 3 x 2 x 1
= 120
Answer:
Step-by-step explanation:
In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.
What the formula means is that we have to add up all the values then divide by the total number of values.
Let's represent our unknown number as 
.
(since we want AT LEAST an 86).
Let's solve this inequality for x.
So, Alex must score at least an 87% on his next quiz to have an average of 86%.
Hope this helped!
Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
