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Komok [63]
3 years ago
14

The equation of the line with slope 2 that goes through the point (-9, 15) can be written in the form y=mx + b, where Preview m=

Preview
Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

y = 2x + 33

Step-by-step explanation:

The equation of the line has the following format:

y = mx + b

In which m is the slope of the line.

We want the equation of a line:

That has slope 2, so m = 2

y = 2x + b

Also that goes through the point (-9, 15). This means that x = -9, y = 15. So

15 = 2(-9) + b

15 = -18 + b

b = 33

The equation of the line is:

y = 2x + 33

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Answer:

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Step-by-step explanation:

Given:

Michael's hourly rate working as a tutor = $12 per hour

Michael's hourly rate working as a waiter = $10 per hour

Total number of hours worked by Michael for both jobs this month = 92

Let the number of hours Michael works as a tutor this month be =t hours.

∴ Number of hours Michael works as a waiter this month will be =(92-t) hours.

Amount earned by Michael this month from tutor job

⇒\textrm{Hourly rate}\times\textrm{Number of hours worked}

⇒12\times t

⇒\$12\ t

Amount earned by Michael this month from tutor job

⇒ \textrm{Hourly rate}\times\textrm{Number of hours worked}

⇒10\times (92-t)    

⇒\$(920-10\ t)     [Using distribution]

Total amount earned by Michael from both the jobs this month in dollars can be given as

⇒\textrm{Amount earned from tutor job+Amount earned from waiter job}

⇒12\ t+(920-10\ t)

⇒12\ t+920-10\ t

⇒2\ t+920

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3 years ago
Jeff and Kathy are in a walking race. Kathy is faster and walks 3 meters per second. Jeff walks 2 meter
mylen [45]

Answer:

24 seconds

Step-by-step explanation:

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Step-by-step explanation:

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