Hello :
f'(7) = the slope of the tangent line : let A(7,4) B(0,3)<span>
<span>the slope is : (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
y = (1/7)x+3
the line tangent and the graph of : f </span></span><span>passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4</span>
Answer: The correct option is
(E) 80,000.
Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to
of its capacity, the tank was then at
of its capacity.
We are to find the number of gallons of water that the tank hold when filled to capacity.
Let the tank can hold x gallons of water when filled to capacity.
Then, according to the given information, we have

Thus, the required capacity of the tank is 80,000 gallons of water.
Option (E) is CORRECT.
3w-7w-12=2w-6
-4w-12=2w-6
-12=6w-6
-6=6w
w=-1
Answer:
57
Step-by-step explanation:
How I did this was 513 divided by 9 so the equation that I did was 513/9.
Answer:
D 111.4 cm²
Step-by-step explanation: