Answer: here u go
Step-by-step explanation:
Solution:
Given,
Volume of the-
First cube box=1728 in³
Second cube box=13824in³
We know that volume of cube =a³
So for the first box
a³= 1728 in³
a= 12 in
Now, surface area of the first box
6a²= 6×(12)²
= 864 in²
and for the second box
b³= 13824 in³
b= 24 in
Now, the surface area of the second box
6b²= 6×(24)²
= 3456 in²
Now, the ratio of the surface area of first box to the second box will be
864:3456
=1:4
The surface area of the larger of two boxes is
3456 in²
Both are correct.
Good job!
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
Answer:
B. 3
Step-by-step explanation:
Let's make an equation for this. Our unknown number is x.
x
We are adding 4.
x + 4
Then multiplying by 5.
(x + 4) • 5
It will equal 35.
(x + 4) • 5 = 35
To solve this, divide both sides by 5.
(x + 4) = 7
Now subtract 4 from both sides.
x = 3
This is your answer.
Check this by plugging it back into our original equation.
(x + 4) • 5 = 35
(3 + 4) • 5 = 35
7 • 5 = 35
35 = 35
Your answer is correct.
Hope this helps!
