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photoshop1234 [79]
2 years ago
14

Quick algebra 1 question for 15 points!

Mathematics
1 answer:
Mamont248 [21]2 years ago
6 0

The desired linear functions are given as follows:

a) x = a.

b) y = b.

<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.

A vertical line has undetermined slope, hence it is defined by x = a, containing point (a,b).

A horizontal line has slope of 0, hence it is defined by y = b, containing point (a,b).

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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Let's look at work rates per minute.

Together they can paint the wall in x minutes.
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The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.

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