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2 years ago

Find the slope of the line determined by each pair of points: (-1,3), (-6,-4)

Mathematics

1 answer:

Dafna1 [17]2 years ago

5 0

Answer:

$m=\frac{7}{5}$

General Formulas and Concepts:

Order of Operations: BPEMDAS

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-1, 3)

Point (-6, -4)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute: $m=\frac{-4-3}{-6-(-1)}$
Simplify: $m=\frac{-4-3}{-6+1}$
Subtract/Add: $m=\frac{-7}{-5}$
Simplify: $m=\frac{7}{5}$

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At the fabric store, Marisela spends $9.00 on 1 1/8 yards of fabric. How much does one yard of fabric cost?

Margaret [11]

Answer:

8 dollars

Step-by-step explanation:

First, convert the yards to decimals, 1/8 is equivalent to .125, therefore 1 1/8 yards is 1.125

Next, since we know that 1 1/8 yards of fabric is $9, we can divide 9 by 1.125 in order to find the cost of one yard of fabric

9/1.125=8, therefore your final answer is $8

Don't forget to put units if this is a test question (or practically in any case), the unit in this case is $(dollars)

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3 years ago

Find the inverse f(x)= 3x-5/2

dlinn [17]

I hope it helps you get it right

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2 years ago

You buy a new car for $31,300. The average car depreciates in value by 14% per year. How much will it be worth after each of the

Andrei [34K]

A = P(1 + rt)

A=31,300(1+.14*1)

A=35682

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2 years ago

Please answer! Will give brainliest. Have a good day:)

taurus [48]

Answer:

Step-by-step explanation:

Green: y = 1.75x + 4

The slope is 1.75 which is the rate per mile.

Green charges $1.75 per mile.

White:

For 3 miles: $10.50

For 5 miles: $13.50

Difference: $13.50 - $10. 50 = $3.00

The $3.00 difference is for 2 miles.

Rate per mile: $3.00/2 = $1.50

White charges $1.50 per mile

Answer: B.

6 0

2 years ago

you measure the period of a mass oscillating on a vertical spring ten times as follows: period (s): 1.06, 1.31, 1.28, 0.99, 1.48

lidiya [134]

The mean and (sample) standard deviation σ = 0.2098.

<h3>What exactly would the standard deviation indicate?</h3>

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

<h3>According to given information:</h3>

The mean is the product of the dataset's total and the sample size. Mathematically.

$\bar{x}=\frac{\sum X_i}{N}$

The individual periods are Xi.

The sample size is N.

$\sum X i$ = 1.06 + 1.31 + 1.28 + 0.99,+ 1.48 + 1.37+ 0.98 + 1.31 + 1.59 + 1.55

$\sum X i$ = 12.92

N = 10

While substituting the value we get:

x = 12.96/10

x = 1.292

The samples' average is 1.292.

The standard deviation:

$\sigma=\sqrt{\frac{\sum(x-\bar{x})^2}{N}}$

$\sum(x-\bar{x})^2$ = (1.48-1.292)^2+(1.37-1.292)^2+(0.98-1.292)^2+(1.31-1.292)^2+(1.59-1.292)^2+(1.55-1.292)^2.

$\sum(x-\bar{x})^2$ = 0.43996

Putting into the formula we get:

$\sigma=\sqrt{\frac{0.43996}{10}}$

σ = √(0.043996)

σ = 0.2098

The mean and (sample) standard deviation σ = 0.2098.

To know more about standard deviation visit:

brainly.com/question/18521100

#SPJ4

I understand that the question you are looking for is:

You measure the period of a mass oscillating on a vertical spring ten times as follows:

Period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55

Required:

What are the mean and (sample) standard deviation?

a. Mean: 1.228, Standard Deviation: 0.2135

b. Mean: 1.325, Standard Deviation: 0.1674

c. Mean: 1.292. Standard Deviation: 0.2211

d. Mean: 1.228, Standard Deviation: 0.2098

e. Mean: 1.292, Standard Deviation: 0.2135

7 0

1 year ago