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Reptile [31]
3 years ago
10

3. Find f[h(a+4)], given the functions below. *

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8

h(a+4)

This function is:

h(a+4) = (a+4)^2 + 6(a + 4) + 8

h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8

h(a+4) = a^2 + 14a + 48

f[h(a+4)]

f(x) = 5x

Thus

f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240

The correct answer is given by option C.

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3/4=j-1/2 solve the equation check your solution
DIA [1.3K]
3/4= j-1/2
first to add 1/2 to both sides to solve for j 
3/4 + 1/2= j
second you find a common denominator in order to add 3/4 and 1/2, the common denominator would be 4, you would have to change 3/4 at all because the denominator is already 4 but in order to make the denominator of 1/2, 4 you would have to multiply both the denominator and numerator by 2 so 
3/4 + 2/4 = 5/4
so 5/4 =j

to check your answer you plug 5/4 in for j 
3/4 = 5/4 -1/2
again you need to find a common denominator between 5/4 and 1/2 which again would be 4, and again you wouldn't change 5/4 but you would multiply both the numerator and the denominator of 1/2 so 
3/4= 5/4-2/4
5-2= 3 and you would keep the 4 so 
5/4 - 2/4 = 3/4

so j =  5/4
5 0
3 years ago
At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for o
r-ruslan [8.4K]
A ) 
3 j + 5 p = 7.60
j + 2 p = 2.90
B ) 
j = 2.90 - 2 p
3 ( 2.90 - 2 p ) + 5 p = 7.60
8.70 - 6 p + 5 p = 7.60
p = $1.10
j = 2.90 - 2.20
j<span> = $0.70</span>
C ) 
The bill for 1 glass of orange juice and 1 pancake special would be:
0.70 + 1.10 = $1.80
3 0
3 years ago
Molly and Ryan both need to answer this question on their test in math class. 34×45=? They both got 12/20 as their answer but do
Neporo4naja [7]
It would be 3/5 because if you simplify it you would bet 3/5
4 0
3 years ago
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
labwork [276]

Answer:

D is the answer.

6 0
3 years ago
Train X is traveling at a constant speed of 30 miles per hour and Train Y is traveling at a constant speed of 40 miles per hour.
topjm [15]

Answer:

3.5 hours

Step-by-step explanation:

Speed of train X=30 mph

Speed of train Y=40  mph

Relative speed When the two trains travelling in same direction

Relative speed=40-30=10 mph

Total distance =25+10=35 miles

We have to find the time when train Y is 10 miles ahead of train X.

We know that

Time=\frac{Distance}{Relative\;speed}

Using the formula

Then, we get

Time=\frac{35}{10}=3.5 hours

Hence, it will be 3.5 hours until train Y is 10 miles ahead of train X.

7 0
3 years ago
Read 2 more answers
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