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Answers:</h3>

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Work Shown:
Part 1

Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.
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Part 2

In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2
In this case, a = sqrt(x-1) and b = 5.
You could also use the box method as a visual way to expand out 
Answer:
Step-by-step explanation:
Remark
The slope intercept line is written as y = mx + b in it's general form.
You can get the slope, m, immediately because it is given as -2
So far what you have is y = -2x + b
y intercept
To get the y intercept, use the point (-3 , 4)
x = - 3
y = 4
4 = -2*(-3) + b
4 = 6 + b Subtract 6 from both sides
4 - 6 = 6-6 + b
b = - 2
Line
y = -2x - 2
(a,8)
y = -2a - 2
8 = -2a - 2 Add 2 to both sides
8 +2 = -2a -2+2 Combine
10 = - 2a Divide by - 2
10/-2 = a
a = -5
(5,b)
y = -2x - 2
x = 5
y = b
b = -2*5 - 2
b = -10 - 2
b = - 12
Answer:
96
Step-by-step explanation:
First, the total area is base * height, which is 12*12=144. Next, we subtract the unshaded area, which is 6*8=48. 144-48=96, which is your answer
Answer: -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. 2x-4
B. x+y
C. x+6 ≤20