<span>f''(x) means function is of grade 1
f(x) = ax + b
f'(x) = a
f'(5) = 1 </span>⇒ a = 1
f(4) = -2
f(4) = 1×4 + b
-2 = 4 + b
b = -6
f(x) = x - 6
Answer:
20 inches
Step-by-step explanation:
Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by
A =1/2(a + b)h where a = length along the top of the cape = 24 in, b = length along the bottom of the cape = 36 in and h = height of the cape
So, h = 2A/(a + b)
= 2 × 600 in²/(24 in + 36 in)
= 1200 in²/60 in
= 20 in
So, the height of the cape is 20 inches
Answer:
25 = x
Step-by-step explanation:
If the angles are congruent, they are equal
5x+15 = 6x-10
Subtract 5x from each side
5x+15 -5x = 6x-5x-10
15 = x-10
Add 10 to each side
15+10 = x-10+10
25 = x
Step-by-step explanation:
<u>Raise c to the 3rd power:</u>
<u>Triple the amount</u><u> </u><u>(</u><u>Multiply</u><u> </u><u>by</u><u> </u><u>3</u><u>)</u><u>:</u>
Answer:
Option b. 12
Step-by-step explanation:
we know that
To find the average rate of change, we divide the change in the output value by the change in the input value
The average rate of change is equal to
In this problem we have
Substitute
