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NARA [144]
3 years ago
12

Plsss help!! Write the equation of the line for the graph shown below.

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

C. y = ½x + 4

Step-by-step explanation:

Equation for a line in slope-intercept form is given as y = mx + b

So, we need to find the slope (m) and the y-intercept (b) of the line given.

m = ∆y/∆x

Using two points on the line, (0, 4) and (-2, 3),

Slope (m) = (3 - 4)/(-2 - 0)

m = -1/-2

m = ½

y-intercept (b) = 4, this is where the line intercepts the y-axis.

To write the equation, substitute m = ½ and b = 4 into y = mx + b

Thus:

y = ½x + 4

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Using the simplification, company y has 17 number of part-time employees.

In the given question we have to find how many part-time employees does company y have.

From the question, company x has 50 employees and company y has 60 employees.

Both companies have the same number of full-time employees, but company y has 3 more than twice the number of part-time employees that company x has.

Let company x has A number of part-time employees.

According the given statement

Company y has number of part-time employees = 2A+3

Let company X and Y have B number of full-time employees.

So the total number of employees in company x;

A+B = 50....................(1)

The total number of employees in company x;

2A+3+B = 60

Subtract 3 on both side we get

2A+B=57....................(2)

Subtract Equation 2 and 1

2A+B-(A+B)=57-50

2A+B-A-B=57-50

A=7

Now putting the value of A in equation 1

7+B=50

Subtract 7 on both side we get

B=43

As, Company y has number of part-time employees = 2A+3

Company y has number of part-time employees = 2×7+3

Company y has number of part-time employees = 14+3

Company y has number of part-time employees = 17

Hence, company y has 17 number of part-time employees.

To learn more about simplification link is here

brainly.com/question/2804192

#SPJ4

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The answer should be 60.
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