Answer:
x= 1±5i/2
Step-by-step explanation:
Answer:
85, 68, 51
Step-by-step explanation:
Average: The sum of all the numbers divided by the number of numbers
If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x
Then using the definition of an average, we can write this equation.
(5x + 4x + 3x) / 3 = 68
Multiply both sides by 3.
5x + 4x + 3x = 68 * 3
Simplify.
12x = 204
x = 17
Now, substitute x = 17 into the original scores (5x, 4x, and 3x)
5x = 5 * 17 = 85
4x = 4 * 17 = 68
3x = 3 * 17 = 51
Just in case, let's check this answer. Find the average of the 3 test scores.
(85 + 68 + 51) / 3 =
204 / 3 = 68
Thus, the answers are correct
Answer: x = 5
Step-by-step explanation:
Use Pythagorean's Theorem

Answer:
The y-intercept is 0, which represents the amount of gas used when 0 miles are traveled. The slope is 28, which represents the miles that can be traveled with 1 gallon of gas
Step-by-step explanation:
Let
x----> the amount of gas used in gallons
y ---> the distance traveled in miles
we have

This linear equation represent a direct variation
The y-intercept is the value of y when the value of x is equal to zero
For x=0, y=0
That means ----> The y-intercept is 0, which represents the amount of gas used when 0 miles are traveled
The slope is 
That means ----> The slope is 28, which represents the miles that can be traveled with 1 gallon of gas