Answer:
Range is 32
Step-by-step explanation:
11,12,13,17,17,17,17,19,20,32,43
43-11 = 32
Answer:
By solving that problem
Step-by-step explanation: :)
Let's assume
number of small notebooks =x
number of large notebooks =y
we are given
total number of notebooks =31
so, we get

now, we can solve for y

we have
Small notebooks cost $3.50 and large notebooks cost $5.00
she has $134 to spend
so, we get

now, we can plug y





now, we can find y


so,
number of small notebooks is 14
number of large notebooks is 17.............Answer
Answer:
We conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Step-by-step explanation:
Given
f(x) = 4x² - 1
g(x) = 1/2x + 5
h(x) = 2(x - 4)³
To determine
h(f(-1)) = ?
In order to determine h(f(-1)) first we need to determine f(-1).
substitute x = -1 in the function f(x) = 4x² - 1
f(-1) = 4(-1)² - 1
f(-1) = 4(1) - 1
f(-1) = 4-1
f(-1) = 3
so
h(f(-1)) = h(3)
now substitute h = 3 in the function h(x) = 2(x - 4)³
h(x) = 2(x - 4)³
h(3) = 2(3 - 4)³
h(3) = 2(-1)³
h(3) = 2(-1)
h(3) = -2
Thus,
h(f(-1)) = h(3) = -2
Hence, we conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Answer: D
Step-by-step explanation: The rate at which the pool is filled is 1 gallon per 9 minutes. If you divide all the numbers of minutes in the left side of the table with the number of gallons on the right you get 9 minutes per gallon for each of them so they follow the rate.