In this question, let's add those polynomials
(5x-6) + (2x-6)
5x -6 +2x -6 <em>Combine like terms</em>
<em>5x +2x -6-6</em>
7x -12
Since this is not an equation, no further step can be done.
X - y = 3
x + y = 13
Adding both equations
2x = 16
x = 8
y = 5
The equation of this line is given by:
y = -1/2x + 1.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points, the slope is given by <u>change in y divided by change in x</u>. In this problem, we have points (0,1) and (2,0), hence:
m = (1 - 0)/(0 - 2) = -1/2.
Point (0,1) also means that the y-intercept is of b = 1, hence the equation of this line is given by:
y = -1/2x + 1.
More can be learned about linear functions at brainly.com/question/24808124
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A) y=2x2-28x+52 ion think it’s any other but I might be wrong
For this case, the first thing to do is find the equation of the line in order to model the problem mathematically.
Using Excel (see attached image) we find that the equation of the line is:
y = 0.0035x - 3 We evaluate for:
For x = 7000: y = 0.0035 * (7000) - 3
y = 21.5 $
For x = 10000 y = 0.0035 * (10000) - 3
y = 32 $
For x = 13000 y = 0.0035 * (13000) - 3
y = 42.5 $
Answer: The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is: 21.5 $, 32 $, 42.5 $, respectively.