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3 years ago

Rewrite the equation y-3=2(x+4) into slope form

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

So we have y-3=2(x+4)

So the first thing we want to do is distribute the 2 in front of the (x+4)

2(x+4) = 2x+8

Which means we have:

y-3=2x+8

Remember we need to get it into the form y=mx+b

As you can see here the 3 is preventing our equation from being in that form to we need to add it to both sides. This leaves us with:

y - 3 + 3 = 2x+8+3

Which gives: y = 2x+11

Therefore the slope form of this equation is y = 2x+11

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3 years ago

10 times the quantity 9 minus a number x

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Answer:

$10 \times 9 - x \\ x = 10 \times 9 \\ x = 90$

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3 years ago

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Please can someone do this for me? thanks alot x

Nimfa-mama [501]

Answer:

Learning Objective: Use the mean and range to compare the spread and averages.

a) Sarah Mean = 70.9, Katie Mean = 78.9

b) Sarah Range = 15, Katie Range = 25

c) Sentences

- The mean shows, on average, Sarah was 8 seconds quicker than Katie.

- The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.

Step-by-step explanation:

Given:

Sarah's Data Set:

79, 70, 68, 75, 69, 64, 69, 75, 64, 76

Katie's Data Set:

79, 79, 76, 81, 89, 76, 64, 85, 82, 78

To Find:

The mean and range of both data sets separately.

Work:

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is $\mu = \frac{{\sum}x}{N}$ .

The formula for the mean of a sample is $\bar{x} = \frac{{\sum}x}{n}$ .

Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is: $\frac{709}{10} = 70.9$