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11Alexandr11 [23.1K]
3 years ago
11

The number of customers in a store on the first day is represented by (6x - 3). The number of customers on the second day is rep

resented by (x - 1). Write an expression to find to how many more customers visited the store on the first day. Then evaluate the expression if X is equal to 50.
Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0
The expression that represents how many more customers visited the store on the first day than the second day = (6x - 3) - (x - 1) = 6x - x - 3 + 1 = 5x - 2

The value of the expression when x = 50 is given by 5(50) - 2 = 250 - 2 = 248.
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Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)
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Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in y=mx+b form. In this for the following are:

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  • b  is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Upon inserting our points into the equation, we get a slope of -1.

\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1

Creating The Equation

To create the equation in y=mx+b form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

y=-1x-2

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

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