Answer:

Step-by-step explanation:
Using the rule of exponents
⇔ 
Given
=
= 
Answer:
<h2>
QS = 42</h2><h2>
</h2>
Step-by-step explanation:
R is midpoint
|<---------------- QS -------------------->|
Q---------------------R--------------------S
8x - 51 3x - 6
find: QS
QR = RS
8x - 51 = 3x - 6
8x - 3x = 51 - 6
5x = 45
x = 45/5
x = 9
QS = QR + RS
QS = (8x - 51) + (3x - 6)
plugin the value of x=9 into the equation above:
QS = (8(9) - 51) + (3(9) - 6)
QS = 72 - 51 + 27 - 6
QS = 42
Answer:
18
Step-by-step explanation:

That will give you 18 which is the answer
Answer:
The range of the function is:
Range R = {14, 17, 20}
Step-by-step explanation:
Given the function

We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
- Range refers to all the possible sets of output values on the y-axis.
We are given that the domain of the function is:
Domain D = {4, 5, 6}
Now,
substituting x = 4 in the function
f(4) = 3(4) + 2
f(4) = 12 + 2
f(4) = 14
substituting x = 5 in the function
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
substituting x = 6 in the function
f(6) = 3(6) + 2
f(6) = 18 + 2
f(6) = 20
Thus, we conclude that:
at x = 4, y = 14
at x = 5, y = 17
at x = 6, y = 20
Thus, the range of the function is:
Range R = {14, 17, 20}