<u><em>Answer:</em></u>
D. f⁻¹(x) = 2x + 10
<u><em>Explanation:</em></u>
<u>The given is:</u>
![f(x) = \frac{1}{2}x - 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20-%205)
<u>To find the inverse, follow the below procedures:</u>
<u>1- Convert f(x) to y. </u>
<u>This will give:</u>
![y = \frac{1}{2} x - 5](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%205)
<u>2- Swap the x and y variables.</u>
<u>This will give:</u>
![x = \frac{1}{2}y - 5](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B2%7Dy%20-%205)
<u>3- Solve for y.</u>
<u>This will give:</u>
![x = \frac{1}{2}y - 5\\ \\ \frac{1}{2}y = x+5\\ \\ y = 2x+10](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B2%7Dy%20-%205%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7B2%7Dy%20%3D%20x%2B5%5C%5C%20%5C%5C%20y%20%3D%202x%2B10)
<u>4- Replace the y in the above step with f⁻¹(x).</u>
<u>This will give us:</u>
f⁻¹(x) = 2x + 10
Hope this helps :)
Answer:
The table shows information about Town A in Illinois and Town B in Florida.If the two towns have the same population density Town B has a population of approximately 5,138.is right.
Given: Table shows Town A & Town B population.
To calculate the Population density, Divide the population by their size of the area.
We knows that according to the given that The Population Density of both the towns are equal.
Therefore, Town B has a population of 5,138 Option B is Correct.
hope this helps:)
Answer:
465 miles
Step-by-step explanation:
From the question,
S₁ = d₁/t₁............................... Equation 1
Where S₁ = Speed travels by Perry for the first journey, d₁= First distance traveled by Perry, t₁ = First time taken.
make d₁ the subject of the equation
d₁ = S₁t₁................... Equation 2
Given; S₁ = 55 miles per hour, t₁ = 5.5 hour
Substitute these values into equation 2
d₁ = 55×5.5
d₁ = 302.5 miles.
Also,
d₂ = s₂t₂.......................... Equation 2
Given: s₂ = 65 miles per hour, t₂ = 2.5 hours.
d₂ = 65×2.5
d₂ = 162.5 miles
Hence,
Total distance = d₁+d₂
Total distance = 302.5+162.5
Total disstance = 465 miles
The value of -25+50-20+(-12) is -7.
<em>add 7 to both sides</em>
<em>divide both sides by 6</em>
![d>3](https://tex.z-dn.net/?f=d%3E3)