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kondaur [170]
3 years ago
9

Find the rate of change of the following table.

Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

\frac{1}{3}

Step-by-step explanation:

The rate of change is measured by the slope of the line in this linear table.

Calculate the slope m using the slope formula

m = \frac{y_{3}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table

m = \frac{2-0}{3+3} = \frac{2}{6} = \frac{1}{3} ← rate of change

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Write an equation of the line that passes through the given point and is perpendicular to the given line (-6,-4); y=1/3x+1
slamgirl [31]

Answer:

y=−3x−22

Step-by-step explanation

To find the perpendicular slope you must flip reciprocals and as well as the signs. Then graph on desmos to see if it passes through (-6,-4)

5 0
2 years ago
Solve by elimination:
Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

6 0
2 years ago
What is the domain of the function y = RootIndex 3 StartRoot x minus 1 EndRoot?
finlep [7]

By definition of cubic roots and power properties, we conclude that the domain of the cubic root function is the set of all real numbers.

<h3>What is the domain of the function?</h3>

The domain of the function is the set of all values of x such that the function exists.

In this problem we find a cubic root function, whose domain comprise the set of all real numbers based on the properties of power with negative bases, which shows that a power up to an odd exponent always brings out a negative result.

<h3>Remark</h3>

The statement is poorly formatted. Correct form is shown below:

<em>¿What is the domain of the function </em>y = \sqrt[3]{x - 1}<em>?</em>

<em />

To learn more on domain and range of functions: brainly.com/question/28135761

#SPJ1

4 0
1 year ago
What are the domain and range of f(x) = 2x - 41?
Darina [25.2K]

The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = 2x – 41

Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.

Then the correct option is C.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

3 0
2 years ago
Define the term of mathematics ?​
Mashutka [201]

Answer:

it is the abstract science of number, quantity and space, either as abstract concept

3 0
2 years ago
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