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3 years ago

State the domain and range of the following function. {(6,-8), (9,3), (-3,5), (1,-6), (5,7)}

Mathematics

1 answer:

Musya8 [376]3 years ago

4 0

Answer:

Domain:

6,9,-3,1,5

Range:

-8,3,5,-6,7

Step-by-step explanation:

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What is the slope of the line that passes through the points (4, 4)(4,4) and (10, 7) ?(10,7)? Write your answer in simplest form

Mashutka [201]

The slope of line passing through the points (4, 4) and (10, 7) is $\frac{1}{2}$

<em><u>Solution:</u></em>

Given that, we have to find the slope of line that passes through the points (4, 4) and (10, 7)

The slope of line passing through $(x_1 , y_1)$ and $(x_2, y_2)$ is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Given two points are (4, 4) and (10, 7)

$\text{ Here } x_1 = 4 ; y_1 = 4; x_2 = 10; y_2 = 7$

Substituting the values in formula, we get

$\begin{aligned}&m=\frac{7-4}{10-4}\\\\&m=\frac{3}{6}\end{aligned}$

Reducing to lowest terms, we get

$m=\frac{1}{2}$

Thus slope of line passing through given points is $\frac{1}{2}$

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3 years ago

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kvasek [131]

Answer:

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Step-by-step explanation:

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3 years ago

Describe in your own words what it means to say that integers are closed under addition? (please help I don't get this question)

Naddik [55]

A set that is closed under an operation or collection of operations is said to satisfy a closure

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For example, the set of even integer is closed under addition, but the set of odd integer is not.

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3 years ago

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Westkost [7]

Answer:

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Step-by-step explanation:

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3 years ago

Put the linear inequality into slope-intercept form.

Ugo [173]

Answer:

y ≤ $\frac{7}{4}x - 5$

Step-by-step explanation:

We are to put the linear inequality;

7x - 4y ≥ 20

in slope intercept form.

We can rearrange the inequality as;

-4y ≥ - 7x + 20

Dividing throughout by -4 we get;

y ≤ $\frac{7}{4} x$ - 5

Note that the inequality sign '≥' changes to '≤' since we divided all through with a negative number.

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3 years ago