Answer:
121/12
Step-by-step explanation:
1. 11/12 - (-10) = 11/12+10 = 131/12
2. 131/12-5/6 = 131/12 - 10/12 = 121/12
90 miles/4 gallons = 22.5 miles/1 gallon.
22.5 miles*18 gallons= 405 miles
the answer is 405 miles
<h3>
Answer: -7 < x < 17</h3>
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Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse 
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
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In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
Answer:

Step-by-step explanation:
Given inequality:

To solve for <em>y.</em>
Solution:
Rewrite the inequality as,
Adding 1/2y to both sides,
Multiplying both sides by 6/5:
Value of y is 42/5.