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3 years ago

Find the slope of the function in the table

Mathematics

1 answer:

Alex17521 [72]3 years ago

6 0

Answer:

slope = -6

Step-by-step explanation:

slope formula: $\frac{y2-y1}{x2-x1}$

To find the slope, take two points from the table(in this example I'll use points (0,0) and (-2, 12)) and input them into the slope formula:

(0, 0) = (x1, y1)

(-2, 12) = (x2, y2)

$\frac{12-0}{-2-0}$

Simplify:

12 - 0 = 12

-2 - 0 = -2

$\frac{12}{-2}=-\frac{6}{1}=-6$

The slope of the function in the table is -6.

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Find the equation of the line.

zhuklara [117]

Answer:

y=-1/3x-2

Step-by-step explanation:

First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.

Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.

1) Plug slope and points into point slope form:

y+1=-1/3(x+3)

2) Distribute -1/3 to x and 3:

y+1=-1/3x-1

3) Subtract 1 from both sides:

y=-1/3x-2

Now we have our answer is slope intercept form!

Please let me know if you have any questions :)

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A line with a slope of -4 passes through the point (0, 0). What is its equation in

Dahasolnce [82]

Answer: y = -4x

Step-by-step explanation: You would use the formula y = mx + b to solve your problem. When you plug the numbers in, you get y = -4x. There would be no "+ b" because in this case, the y-intercept (b) is equal to zero. Therefore, you would not need to write "y = -4x + 0" because that would not be the equation in its simplest form.

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He daily milk production of guernsey cows is approximately normally distributed with a mean of 35 kg/day and a standard deviatio

soldier1979 [14.2K]

Answer:

25.1 kg

Step-by-step explanation:

A suitable probability calculator can tell you the 5th percentile of this distribution.

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Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans

statuscvo [17]

Answer:

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} + t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where $\bar{x}$ is the mean weight $\sigma$ is the standard deviation $t_{\alpha/2}$ is the critical value from t-table and n is the sample size.

The term $t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } )$ is known as margin of error.

As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

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