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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:
see below
Step-by-step explanation:
1.)
(0, 4)
(1, 7)

y = 3x + b
(4) = 3(0) + b
b = 4
y = 3x + 4
Rate of change: 3 initial value: 4
2.)
(0, -5)
(1, -3)

y = 2x + b
(-5) = 2(0) + b
b = -5
Rate of change: 2 initial value: -5
Answer:

Step-by-step explanation:
The question is incomplete; However


Required
Determine coordinates of P
When line segment is divided in ratios, the following formula calculates the coordinates;

In this case;



So, the coordinates of P is calculated as thus



Hence, the coordinates of P is

Answer: p-5 substitute simplify subtracting 2
Step-by-step explanation:
Put them in that order
The value of tan2A given the trig expression is -128/21
<h3>Double angles</h3>
According to the double angle formula
tan 2A = 2tanA/1-tan²A
Given the following
sinA = 4/5 = opp/hyp
Tangent = 3units
TanA = opp/adj
TanA = 4/3
Substitute
Tan2A = 2(4/3)/1-(4/3)²
Tan2A = (8/3)/1-(16/9)
Tan2A = 8/3 * -16/7
Tan2A = -128/21
Hence the value of tan2A given the trig expression is -128/21
Learn more on double angle here: brainly.com/question/14691
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