If one gallon = 4 quarts
Then 5 gallons = x quarts
To solve this we can set up a porportion
1/4 = 5/x
To solve the porportion we need to find the rule so how to we get to 4 from 1? Well we can multiply 1 by 4 to get one right?
So if this is true, 1 x 4 = 4 then 5 x 4 must equal x
5 x 4 = 20 so the answer would be 20 quarts are in 5 gallons
Another way to look at this is that you have 5 gallons and in each gallon is 4 quarts to if there is 4 quarts in every one gallon then that’s just 4 + 4 + 4 + 4 + 4 or 5 x 4
I hope this helps! <3
So i
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
#SPJ1
The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
25.20, that might help you hopefully!
Answer:
The value to the given expression is 8
Therefore ![\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B%2810%5E4%29%285%5E2%29%7D%7B%2810%5E3%29%285%5E3%29%7D%5Cright%5D%5E3%3D8)
Step-by-step explanation:
Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed
Given expression can be written as below
![\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B%2810%5E4%29%285%5E2%29%7D%7B%2810%5E3%29%285%5E3%29%7D%5Cright%5D%5E3)
To find the value of the given expression:
![\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B%2810%5E4%29%285%5E2%29%7D%7B%2810%5E3%29%285%5E3%29%7D%5Cright%5D%5E3%3D%5Cfrac%7B%28%2810%5E4%29%285%5E2%29%29%5E3%7D%7B%28%2810%5E3%29%285%5E3%29%29%5E3%7D)
( By using the property (
)
( By using the property 
)
( By using the property 
)
( By using the property 
)
(By using the property 
)
( By using the property 
)
Therefore
Therefore the value to the given expression is 8
We need to write an expression for "add 34 and 6 and then multiply 3"
"Add" represents + operation .
"multiply" represents × operation.
We need to add 34 and 6.
So, we can write 34+6 and then we need multiply the sum by 3.
So, we need to keep above addition of 34 and 6 in parantehsis. We get
(34+6) × 3.
So, the final expression is (34+6) × 3.
