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2 years ago

Write an equation of the line that passes through the points (5, -7) and (3, -1).

Mathematics

1 answer:

asambeis [7]2 years ago

5 0

Answer:

y = -3x + 8

Step-by-step explanation:

I like to recommend this particular method for finding the slope of a line through two given points:

Notice that if we move from (3, -1) to (5, -7), the horizontal distance covered (the "run") is 2 and the vertical change (the "rise") is -6. Thus, the slope is m = rise / run = -6 / 2, or -3.

Starting with y = mx + b, replace y with -7 and x with 5, and m with -3:

-7 = -3(5) + b ... we must find b.

-7 = -15 + b yields b = 8

and so the equation of this line is y = -3x + 8.

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PLEASE HELP!!!!!The volume of a cube is represented by the expression below, where s is the side length of the cube.

barxatty [35]

Answer:

D. 216 cubic centimetres.

Step-by-step explanation:

The answer is D, because 6 to the 3rd power is 216. therefore, if the side length is 6, the answer is 216.

7 0

3 years ago

Kelly spends $59.00 on items for a party. She buys thank you cards that cost $5.00 (including tax). She also buys gift bags that

Brrunno [24]

Answer:

she bought 5 cards, which equals to $54

and then she bought 1 card

Step-by-step explanation:

4 0

3 years ago

The time it takes to clean up after an anniversary party varies inversely as the number of people cleaning. If 3 people work tog

Norma-Jean [14]

Answer:

54minutes

Step-by-step explanation:

Let the time taken to clean up be t

Let the number of people cleaning be n

If the time it takes to clean up after an anniversary party varies inversely as the number of people cleaning then;

t = k/n

k is the constant of proportionality

If 3 people work together to clean, and took them 90 minutes, this means

at t = 90, n=3

Substitute

90 = k/3

k = 3×90

k = 270

To et the time it will take 5people to clean, the will say;

t =k/n

t =270/5

t = 54 minutes

Hence it will take 5 people 54minues to clean

3 0

2 years ago

Read 2 more answers

construct a 90% confidence interval of the population proportion using the giver information x=74 n=150

FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

X = 74

n = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{74}{150}=0.493$

Compute the critical value of z for 90% confidence level as follows:

$z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645$

*Use a z-table.

Compute the 90% confidence interval of the population proportion as follows:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)$

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

3 0

3 years ago

Hector's income is 78,000 dollars per year (52 weeks). How much money does he make weekly?

goldfiish [28.3K]

Answer:

1,500.00

Step-by-step explanation:

Assuming 52 weeks in a year, you would make $1,500.00 per week.

8 0

3 years ago

Read 2 more answers