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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:
y = sin( x/2)
Step-by-step explanation:
The amplitude is 1
The period is 4pi
y = A sin ( Bx)
where A is the amplitude and B is 2pi/ period
y = 1sin (2pi/ 4pi x)
y = sin( x/2)
Answer:
Area=15
Perimeter=16
Step-by-step explanation:
First, section the shape off by easier work with shapes.
The two end triangles can then form one large rectangle that is 5in. x 3in.
Next just multiply the length times the width for the area which is 15 in., and add all of the sides up, which will give you 16 in.
Answer:
Bottle containing cranberry juice has a greater percent of water.
Step-by-step explanation:
A 60 ounce bottle of grape juice contains 33 ounces of water.
So the percentage of water in the bottle = 
= 
= 55%
Similarly 50 ounces bottle of cranberry juice contains 30 ounces of water.
So the percentage of water in the bottle =
= 
= 60%
Therefore, bottle containing cranberry juice has a greater percent of water.
Step-by-step explanation:
5x +10° + 58° = 11x + 2°( Exterior angle of a triangle is equal to the sum of two opposite interior angles)
5x + 68° = 11x + 2°
11x - 5x = 68° - 2°
6x = 66°
x = 66° / 6
Therefore x = 11°
Hope it will help you :)
