We know that the graph of g(x) is the result of a shift of 2 units down from f(x).
Then, f(x) and g(x) are related by:

Taking the derivative:

This is because the derivative of a constant number is 0. Finally, evaluating at x = 2:
Answer:
59°
Step-by-step explanation:
From the question given, we obtained the following:
C + (3x + 16) = 180 (sum of angle on a straight line)
5x – 54 = 3x + 16 (Altanate angles are equal)
Next, we shall determine the value of x.
This can be obtained as follow:
5x – 54 = 3x + 16
Collect like terms
5x – 3x = 16 + 54
2x = 70
Divide both side by the coefficient of x i.e 2
x = 70/2
x = 35
Finally, we shall determine the value of C as shown below:
C + 3x + 16 = 180
But, x = 35
C + 3(35) + 16 = 180
C + 105 + 16 = 180
C + 121 = 180
Collect like terms
C = 180 – 121
C = 59°
Therefore, the value of C is 59°
Answer:
m = 0.1
b = 5
Step-by-step explanation:
The slope-intercept formula is mx + b.
m = slope
b = y-intercept.
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