Answer:
h and c
Step-by-step explanation:
Answer:
A. 16
Step-by-step explanation:
We have to find rate of change of function from x=3 to x=5
The average rate of change for the interval a≤x≤b is given by:
Rate of change= (f(b)-f(a))/(b-a)
In our question,
a=3
and
b=5
We can see from the table that at x = 3, the value of function is 18
So,
f(a)=18
and
At x=5, the value of function is 50
f(b)=50
Rate of change=(50-18)/(5-3)
=32/2
=16
So the rate of change of function between x=3 and x=5 is 16 ..
Option A is the correct answer..
I’m not sure what your asking
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.