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2 years ago

Find the slope and y-intercept of the line 18x+4y=112

Mathematics

2 answers:

FromTheMoon [43]2 years ago

7 0

Answer:

y-intercept is y= -4.5+28 slope is 4.5

Step-by-step explanation:

18x+4y=112

-18x -18x

4y=112-18x

-----------------

y= -4.5x+28

oksian1 [2.3K]2 years ago

4 0

Answer: The slope is m=-9/2, and the y-intercept form

Step-by-step explanation:

Rewrite in Slope-intercept form: y=mx+b

Subtract 18x from both sides of the equation.

4y = 112-18x

divide each term by 4 and simplify.

y= 28 - 9x/2

Reorder 28 and -9x/2.

y=-9x/2 +28

Find the values of m and b using the form y=mx+b.

Slope: -9/2

Y-intercept: 28

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I will give branly to the best and fast answer :D

Anton [14]

Answer:

its fifteen fiths

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Write an equation of the line that passes through 3,1 and 0,10

elena-14-01-66 [18.8K]

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)

3 0

2 years ago

2, 8, 9, 20, 22, 25, 5 Mean ?? Mode ?? Median ??

Kobotan [32]

Answer:

the mean is the sum of them all divided by the number of terms.

mean: 13

the mode is the element that occurs MOST in the data set.

mode: none

the median is the middle value of all of the numbers.

median: 9

6 0

3 years ago

Read 2 more answers

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils

LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0

3 years ago

(b) how many measurements must be averaged to get a margin of error of ±0.0001 with 98% confidence? (round your answer up to the

goblinko [34]

Given that the scale readings of the laboratory scale is normally distributed with an unknown mean and a standard deviation of 0.0002 grams.

Part A:

If the weight is weighted 5 times and the mean weight is 10.0023 grams, the 98% confidence interval for μ, the true mean of the scale readings is given by:

$98\% \ C. \ I.=\bar{x}\pm z_{\alpha/2}\left(\frac{\sigma}{\sqrt{n}}\right) \\ \\ =10.0023\pm2.33\left(\frac{0.0002}{\sqrt{5}}\right) \\ \\ =10.0023\pm2.33(0.000089) \\ \\ =10.0023\pm0.00021 \\ \\ =(10.0023-0.00021, \ 10.0023+0.00021) \\ \\ =(10.0021, \ 10.0025)$

Thus, we are 98% confidence that the true mean of the scale readings is between 10.0021 and 10.0025.

Part B:

To get a margin of error of +/- 0.0001 with a 98% confidence, then

$\pm z_{\alpha/2}\left(\frac{\sigma}{\sqrt{n}}\right)=\pm0.0001 \\ \\ \Rightarrow2.33\left(\frac{0.0002}{\sqrt{n}}\right)=0.0001 \\ \\ \Rightarrow\left(\frac{0.0002}{\sqrt{n}}\right)= \frac{0.0001}{2.33} =0.0000429 \\ \\ \Rightarrow\sqrt{n}= \frac{0.0002}{0.0000429} =4.66 \\ \\ \Rightarrow n=4.66^2=21.7156\approx22$

Therefore, the number of measurements that must be averaged to get a margin of error of ±0.0001 with 98% confidence is 22.

8 0

3 years ago