Answer:
A
Step-by-step explanation:
Answer:
20.25
Step-by-step explanation:
Percentage solution with steps:
Step 1: Our output value is 135.
Step 2: We represent the unknown value with $x$
.
Step 3: From step 1 above,$135=100\%$
.
Step 4: Similarly, $x=15.\%$
.
Step 5: This results in a pair of simple equations:
$135=100\%(1)$.
$x=15.\%(2)$
.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{135}{x}=\frac{100\%}{15.\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{135}=\frac{15.}{100}$
$\Rightarrow x=20.25$Therefore, $15.\%$ of $135$ is
sorry if it took to long have a great day and brainliest is appreciated!!!!!
3/11 divided by 9/13 = 3/11 multiplied by 13/9 = 39/99=13/33
Answer:
The functions are inverses; f(g(x)) = x ⇒ answer D
⇒ answer D
Step-by-step explanation:
* <em>Lets explain how to find the inverse of a function</em>
- Let f(x) = y
- Exchange x and y
- Solve to find the new y
- The new y = 
* <em>Lets use these steps to solve the problems</em>
∵ 
∵ f(x) = y
∴ 
- Exchange x and y
∴ 
- Square the two sides
∴ x² = y - 3
- Add 3 to both sides
∴ x² + 3 = y
- Change y by 
∴ 
∵ g(x) = x² + 3
∴ 
∴ <u><em>The functions are inverses to each other</em></u>
* <em>Now lets find f(g(x))</em>
- To find f(g(x)) substitute x in f(x) by g(x)
∵ 
∵ g(x) = x² + 3
∴ 
∴ <u><em>f(g(x)) = x</em></u>
∴ The functions are inverses; f(g(x)) = x
* <em>Lets find the inverse of h(x)</em>
∵ h(x) = 3x² - 1 where x ≥ 0
- Let h(x) = y
∴ y = 3x² - 1
- Exchange x and y
∴ x = 3y² - 1
- Add 1 to both sides
∴ x + 1 = 3y²
- Divide both sides by 3
∴ 
- Take √ for both sides
∴ ± 
∵ x ≥ 0
∴ We will chose the positive value of the square root
∴ 
- replace y by 
∴ 