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:
<em>Answer</em><em> </em><em>is</em><em> </em><em>given below with explanations</em><em>. </em>
Step-by-step explanation:
<em>HAVE </em><em>A NICE DAY</em><em>!</em>
<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>
Answer:
There are 24 cats at the shelter on Wednesday.
Step-by-step explanation:
Since we have given that
Cost of an animal shelter per day to care for each cat =$1.00
Cost of an animal shelter per day to care for each dog = $4.50
Let number of cats be c
Let number of dogs be d
According to question,
We will use "Substitution Method ",
Put in the second equation :
so, Number of dogs = 25
and
Hence, Number of cats is 24.
Read more on Brainly.com - brainly.com/question/11637006#readmore
the correct question is
<span>The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a-2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero </span>whole number?
we know that
Perimeter of a rectangle=2*[length + width]
length=(4a+3b)
width=3a-2b
so
P=2*[(4a+3b)+(3a-2b)]-----> P=2*[7a+b]-----> P=14a+2b
the answer part a) is
A polynomial for the perimeter of the rectangle is P=14a+2b
Part b)
for a=12
P=14*12+2b---------> P=168+2b
<span>the minimum perimeter of the rectangle is for b=1
</span>so
P=168+2*1-----> P=170 units
the answer part b) is
the minimum perimeter of the rectangle is 170 units
