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3 years ago

Find the slope between 2 points. (16, 12) (40,18)

Mathematics

1 answer:

WITCHER [35]3 years ago

8 0

Answer:

$\frac{1}{4}$

Step-by-step explanation:

In this question, we have to find the slope with the given coordinates.

To find our slope, we would use the slope formula: $m = \frac{y2-y1}{x2-x1}$

Plug in your coordinates and solve:

$m = \frac{18-12}{40-16}\\\\m=\frac{6}{24}$

Simplify the fraction:

$m=\frac{1}{4}$

The slope would be $\frac{1}{4}$

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When karen serves jury duty, she will receive $15 each day for the first three days she serve. After three days, she will receiv

liubo4ka [24]

Karen received $ 213 for 10 days of serving

Solution:

Given that When karen serves jury duty, she will receive $15 each day for the first three days she serve

To find: money received by karen if she served for 10 days

First three days = $ 15 each day

Therefore,

first day = $ 15

second day = $ 15

third day = $ 15

After three days, she will receive $24 each day she serves

4th , 5th, 6th, 7th , 8th , 9th, 10th day = $ 24 each day

If she serves for 10 days,

money received = 15 + 15 + 15 + 24 + 24 + 24 + 24 + 24 + 24 + 24

money received = 3(15) + 7(24)

money received = 45 + 168 = 213

Thus karen received $ 213 for 10 days of serving

3 0

3 years ago

Read 2 more answers

What is 935 × 145 × 0 =

olchik [2.2K]

Answer: 0

Step-by-step explanation:

Ligit 0 cuz you are multimplying by 0

6 0

3 years ago

Read 2 more answers

Given <img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

Logarithms

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

3 years ago

У + 2х = 7 у = 3х – 3 What is the answer to this

Neko [114]

I think the correct answer is ( 2, 3 )

6 0

3 years ago

IMPORTANT GUYS please help

rusak2 [61]

Answer:

x=3,y=7

Step-by-step explanation:

8x+3y=45

2x+3y=27

8x-2x=6x

45-27=18

6x=18

6. 6

x=3

2x+3y=27

2(3)+3y=27

6+3y=27

3y=27-6

3y = 21

3. 3

y=7

3 0

3 years ago