Answer:
Given
f(x) = 2x+7
g(x) = x^2-4
h(x) = 5x
a. 4h(x)
= 4 * 5x
= 20x
b. f(x) - g(x)
f(x) - g(x) = 2x + 7 - (x^2 - 4)
= 2x+7-x^2+4
=-x^2+2x+7+4
=-x^2+2x+11
c. f(g(x)) = 2(g(x))+7
=2(x^2-4) +7
=2x^2-8+7
=2x^2-1
d. g(x)h(x) = (x^2-4)(5x)
= 5x^3 - 20x
e. g(x) / f(x) = x2 - 4/ 2x + 7
Pr(1/2) for both I believe. If not right sorry.
Answer: It would take 9 hours for 4 painters to paint 720 feet of fence.
Step-by-step explanation:
1.) Calculate the time needed to paint the 720 ft fence with 2 painters.
a.) Divide 720 by 280 to get how many times greater 720 is than 280.
720 / 280 ≈ 2.57
b.) Multiply the time needed to paint the 280 ft fence with 2 painters by 2.57.
7 * 2.57 ≈ 18
2.) Calculate the time needed to paint the 720 ft fence with 4 painters.
a.) Assuming that each painter paints the same amount of fence, divide the time in half, as 4 painters is double the original amount, so it would take half of the time.
18 / 2 = 9
Answer:the price of one child ticket is $8
the price of one adult ticket is $12
Step-by-step explanation:
Let x represent the price of one child ticket.
Let y represent the price of one adult ticket.
First tour is 4 child tickets and 8 adult tickets for 128 dollars. This means that
4x + 8y = 128 - - - - - - - - - - 1
Second tour is 6 adult tickets for 72 dollars. This means that
6y = 72
y = 72/6 = $12
Substituting y = 12 into equation 1, it becomes
4x + 8 × 12= 128
4x + 96 = 128
4x = 128 - 96
4x = 32
x = 32/4 = $8
