Answer:
The value of x is 8 gallon.
Step-by-step explanation:
Given a table showing approximate conversion from gallons to liters.
Number of Gallons 2 4 x
Number of Liters 7.6 15.2 30.4
We are required to find value of x,
Given : 2 gallon is equal to 7.6 liters.
⇒ 1 liter is equal to 
liters. ........(1)
given, x gallon equal to 30.4 liters.
⇒ 1 liter is equal to 
liters. .........(2)
from (1) and (2),
⇒ 
Solving for x, we get,
⇒ 
⇒ 
Approximately x = 8
Thus, the value of x is 8 gallon.
Answer:
y = 4 and x = 12
Step-by-step explanation:
Step by step explanation in the pic. Atleast the way I did it.
<h2>Explanation:</h2><h2 />
- The input of a function is also called the domain and are those x-values for which the function is defined.
- The output of a function is also called the range and are those y-values for which the function is defined.
Here we have the following function:
And we know that:
Input:
Output:
Answer:
The speed of the boat in still water is 10 miles / hour
Step-by-step explanation:
The trip there, and the trip back are the same -- 30 miles
Let the rate of the boat = x
Let the rate of the water = y
30 = 2*(x + y)
30 = 6*(x - y)
Divide the top equation by 2
Divide the bottom equation by 6
15 = x + y
<u>5 = x - y </u> Add the equations together.
20 = 2x Divide by 2
20/2 = x
x = 10
Reorder terms so constants are on the left
(3x + 7) 8x^2
8(3x +7)x^2
Distribute
Answer: 24x^3+56x^2
