To find an inverse function, plug in y where ever you see an x and x where ever you see a y and then solve for y.
In this case f(x)=y=50,000
So f(y)=x=50,000 is the inverse function
Answer:
x=4
Step-by-step explanation:
4 x 1/8w -> 4/8 w -> 1/2 w
1/2w -3/5 x
Hope this helps!
Let's solve your equation step-by-step.<span>180=<span><span><span>(3)</span><span>(3)</span></span><span>(<span><span>5x</span>−18</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span>180=<span><span><span>(3)</span><span>(3)</span></span><span>(<span><span>5x</span>−18</span>)</span></span></span>
<span>Simplify: (Show steps)</span>
<span>180=<span><span>45x</span>−162</span></span>Step 2: Flip the equation.<span><span><span>45x</span>−162</span>=180</span>Step 3: Add 162 to both sides.<span><span><span><span>45x</span>−162</span>+162</span>=<span>180+162</span></span><span><span>45x</span>=342</span>Step 4: Divide both sides by 45.<span><span><span>45x</span>45</span>=<span>34245</span></span><span>x=<span>385</span></span>Answer:<span>x=<span>38<span>5</span></span></span>
<h3><u>Question:</u></h3>
Mitch lost 10/3 pounds in 5/7 in a week. Which complex fraction, when simplified, will compute the unit rate of pounds per week?
A)10/3 over 5/7
B)10/3 over 7/5
C)3/10 over 5/7
D)5/7 over 10/3
<h3><u>Answer:</u></h3>
Option A
The unit rate of pounds per week is 10/3 over 5/7
<h3><u>Solution:</u></h3>
Given that,
Mitch lost
pounds in
of a week
We have to compute the unit rate of pounds per week
Unit rate means that number of pounds lost in 1 week
From given information,
![\text{Weight lost in } \frac{5}{7} \text{ of a week } = \frac{10}{3} \text{ pounds }](https://tex.z-dn.net/?f=%5Ctext%7BWeight%20lost%20in%20%7D%20%5Cfrac%7B5%7D%7B7%7D%20%5Ctext%7B%20of%20a%20week%20%7D%20%3D%20%5Cfrac%7B10%7D%7B3%7D%20%5Ctext%7B%20pounds%20%7D)
So to find the number of pounds lost in 1 week, divide the total pounds lost (10/3) by the time in weeks (5/7)
![\text{Number of pounds lost in 1 week } = \frac{\text{pounds lost in} \frac{5}{7} \text{ week }}{\frac{5}{7} \text{ week }}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20pounds%20lost%20in%201%20week%20%7D%20%3D%20%5Cfrac%7B%5Ctext%7Bpounds%20lost%20in%7D%20%5Cfrac%7B5%7D%7B7%7D%20%5Ctext%7B%20week%20%7D%7D%7B%5Cfrac%7B5%7D%7B7%7D%20%5Ctext%7B%20week%20%7D%7D)
![\text{Number of pounds lost in 1 week } = \frac{\frac{10}{3}}{\frac{5}{7}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20pounds%20lost%20in%201%20week%20%7D%20%3D%20%5Cfrac%7B%5Cfrac%7B10%7D%7B3%7D%7D%7B%5Cfrac%7B5%7D%7B7%7D%7D)
Thus unit unit is 10/3 over 5/7