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3 years ago

What is the y-intercept of the function?

Mathematics

1 answer:

Naily [24]3 years ago

6 0

Answer:

-5

Step-by-step explanation:

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Name and locate points in all four quadrants of the coordinate plane.

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3 years ago

What is the slope between the points 5,-1 and -2,-3?

pishuonlain [190]

To find slope, use the equation (y2-y1)/(x2-x1). In your case, the equation is going to look like (-3 - -1)/(5 - -2) or (-3 +1)/(5 + 2), and that simplifies to -2/7.

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3 years ago

A girl is flying a kite with a 120ft string attached to the ground is flying directly Selena’s head is standing 24 ft from where

SashulF [63]

Answer:

111.58 feet

Step-by-step explanation:

Given that the length of the string (AB in the attached diagram) is 120 feet.

Selena (at point D) is standing 24 feet from point A, where the kite is attached to the ground.

Since the kite is directly above Selena's head, the problem forms a right triangle.

Using Pythagoras theorem

$|AB|^2=|BD|^2+|AD|^2\\120^2=|BD|^2+24^2\\|BD|^2=120^2-24^2\\|BD|^2=13824\\|BD|=\sqrt{13824} \\|BD|=117.58$ ft$

Serena's height (CD=6 feet)

The distance of the kite above her head is BC in the drawn diagram.

Therefore:

|BD|=|BC|+|CD|

117.58=|BC|+6

|BC|=117.58-6

|BC|=111.58 feet

The kite is approximately 111.58 feet above Selena's head/

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3 years ago

A classmate is solving a system of equations where one equation is quadratic and the other one is linear. Which of the following

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3 years ago

Read 2 more answers

Suppose that we have collected a sample of 8 observations with values 12.6, 12.9, 13.4, 12.3, 13.6, 13.5, 12.6, and 13.1. What a

Korolek [52]

Answer:

The sample mean is 13.

The sample variance is 0.2286.

The sample standard deviation is 0.4781.

Step-by-step explanation:

The sample is:

S = {12.6, 12.9, 13.4, 12.3, 13.6, 13.5, 12.6, 13.1}

The sample is of size <em>n</em> = 8.

The formula to compute the sample mean, sample variance and sample standard deviation are:

$\bar x=\frac{1}{n} \sum x$

$s^{2}=\frac{1}{n}\sum (x-\bar x)^{2} \\s=\sqrt{\frac{1}{n}\sum (x-\bar x)^{2} }\\$

Compute the sample mean as follows:

$\bar x=\frac{1}{n} \sum x\\=\frac{1}{8}(12.6+ 12.9+ 13.4+ 12.3+ 13.6+ 13.5+ 12.6+ 13.1)\\=\frac{104}{8}\\ =13$

The sample mean is 13.

Compute the sample variance as follows:

$s^{2}=\frac{1}{n-1}\sum (x-\bar x)^{2} \\=\frac{1}{8-1}[(12.6-13)^{2}+(12.9-13)^{2}+(13.4-13)^{2}+...+(13.1-13)^{2}] \\=\frac{1}{7}\times1.6\\=0.2286$

The sample variance is 0.2286.

Compute the sample standard deviation as follows:

$s=\sqrt{s^{2}}\\=\sqrt{0.2286}\\=0.4781$

The sample standard deviation is 0.4781.

4 0

3 years ago