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denpristay [2]
3 years ago
5

Write the equation of the line that passes through the points (3,-2) and (5, -1).

Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

y=1/2x-3 1/2

Step-by-step explanation:

use change in y over change in x to solve for the slope... -1+2/5-3=1/2

then use point slope form with the slope to simplify for the slope intercept form... either point works, i used (3,-2)

y+2=1/2(x-3)

y+2=1/2x-3/2

y=1/2x-3/2-2

y=1/2x-3 1/2

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Rachel can make 3 bracelets in an hour. Oliver can make only 2 bracelets in an hour, but he already has completed 5 bracelets. E
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Rachel: 3 bracelets in an hour.
Oliver: 2 bracelets in an hour but has completed 5 bracelets

Rachel : y = 3x
Oliver : y = 2x + 5

Let x be the number of hours. y is the total number of bracelets made in x hours.

3x = 2x + 5
3x - 2x = 5
x = 5

It would take 5 hours for Rachel to have the same number of bracelet as Oliver.

Rachel: 3x = 3(5) = 15
Oliver: 2x + 5 = 2(5) + 5 = 10 + 5 = 15

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3 years ago
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A drill can dig through rock at a rate of 2 1/2 inches per hour. How many hours will it take for the drill to reach five feet be
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5 feet is equal to 60 inches. 60 inches divided by 2.5 inches per hour means it would take 24 hours for the drill to reach five feet (assuming it maintains the same rate of digging)
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Solve. What is 99×89-34÷2-1?
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Answer:

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Step-by-step explanation:

Multiply and divide first, making the equation 8811-17-1. Now subtract. This leaves 8793

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3 years ago
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If each customer takes 3 minutes to check out, what is the probability that it will take more than 9 minutes for all the custome
AnnyKZ [126]

Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

<h3>What is the discrete probability distribution?</h3>

Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:

  • P(X = 0) = 0.2;
  • P(X = 1) = 0.15;
  • P(X = 2) = 0.30;
  • P(X = 3) = 0.20;
  • P(X = 4) = 0.10;
  • P(X = 5) = 0.05;

Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:

P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.

0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

More can be learned about a discrete probability distribution at brainly.com/question/24855677

7 0
1 year ago
Consider the following graph.
Fed [463]

Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.Option C is correct.

<h3>What is a graph?</h3>

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Cheryl traveled at a steady pace for 5.5 minutes, then 45 mph for 2.5 minutes after traveling at 65 mph for a minute.

Statement C best describes Cheryl's commute.

Hence option C is correct.

To learn more about the graph, refer to the link;

brainly.com/question/14375099

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