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Georgia [21]
2 years ago
9

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 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

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

The information provided is:

<em>X</em> = 74

<em>n</em> = 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 <em>z</em> for 90% confidence level as follows:

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

*Use a <em>z</em>-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).<br><br> How much money does he make weekly?
goldfiish [28.3K]

Answer:

<u>1,500.00</u>

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
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