Answer:
x = -14
Step-by-step explanation:
The expression to write in this problem is:
"the sum of x and 12 equals the sum of half of x and 5"
We have:
- The sum of x and 12 is: 
- The sum of half of x and 5 is: 
So, the equation to write in this problem is

We solve it as follows:
1) First, we subtract
from both sides, and we get

2) Then, we subtract 12 from both sides:

3) Now we multiply both sides by 2:

So, this is the solution.
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Answer:
im trying to do a challenge because this kid deleted all my answers
Step-by-step explanation:
Answer:
Linear approximation is given by: 
Step-by-step explanation:
We are given the following information in the question:
Number of citations: 5 7.5 10 15 20
Outputs Residuals: 3 6 10 5 6
We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).
Linear approximation is given by:
The equation of line is given by:

where,
is the point through which the line passes.
The equation of line is:

The above equation is the required linear approximation.