What is the average rate of change of the function f(x) = 5x ^ 2 + 20x between x = 0 and x = 0.5
1 answer:
9514 1404 393
Answer:
22.5
Step-by-step explanation:
The average rate of change on the interval [a, b] is the ratio ...
(f(b) -f(x))/(b -a)
For your function and interval, it is ...
(f(0.5) -f(0))/(0.5 -0)
Since f(0) = 0, this reduces to ...
average rate of change = 2·f(0.5) = 2(5(0.5)² +20(0.5)) = 2(5/4 +10)
average rate of change = 22.5
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Answer:
-
Step-by-step explanation:
Step 1: Add the numerator fractions.
2/5 + 3/10
Here we have to find LCD, the LCD of 5 and 10 is 10
(2*2) + 3 4 + 3
Therefore, 2/5 + 3/10 = --------------- = ------------------
10 10
= 7/10
Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get
7/10
= ----------
-7/9
If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.
The reciprocal of -7/9 is -9/7
Step 3: Now multiply 13/10 and -9/7
= (7/10) x (-9/7)
= -9/10
=-9/10
The answer is -
Answer:
fgh(x)=4 -14
Step-by-step explanation:
when solving composite fuctions we go from the right to the left
meaning we replace the x in the g function with the entire h function
then replace the x in the f function with the entire new g function
h(x)=
g()=
-5
f(-5)=4(
-5)+6
f(-5)=4
-20+6
fgh(x)=4 -14
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Which is less, 2/5 or 4/5?
I'll use a cake for explanation.
Suppose we have a cake, and one of your companions, Mary, is hungry, so she takes 2/5 of one cake. Then, your other friend, Bella, takes 4/5 of the cake.
Then you compare the cakes. Who has less, Mary or Bella?
That's right, Mary.
So 2/5 is less than 4/5.
<h3>Good luck.</h3>- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -