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Sliva [168]
2 years ago
13

PLEASE HELP!

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
8 0

The graph first represents the provided piecewise function option first is correct.

<h3>What is a piecewise function?</h3>

The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.

We have a piecewise function shown in the picture.

\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}

\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}

\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}

After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.

Thus, the graph first represents the provided piecewise function option first is correct.

Learn more about the piecewise function here:

brainly.com/question/12561612

#SPJ1

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Solve the system: <br> 2/x - 3/y =-5; 4/x + 6\y =14
sertanlavr [38]

The solution is x = 2 \text{ and } y = \frac{1}{2}

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

Let us assume,

a = \frac{1}{x}\\\\b = \frac{1}{y}

<em><u>Given system of equations are:</u></em>

\frac{2}{x} - \frac{3}{y} = -5

\frac{4}{x} + \frac{6}{y} = 14

<em><u>Rewrite the equation using "a" and "b"</u></em>

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

a = \frac{4}{8}\\\\a = \frac{1}{2}

Substitute a = 1/2 in eqn 1

2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2

Substitute b = 2 in assumed value

b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}

Thus the solution is x = 2 \text{ and } y = \frac{1}{2}

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Write an equation in Standard Form using the correct properties. Convert this equation to Slope-Intercept Form.
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Answer:

I think what you are asking for is an example.

Step-by-step explanation:

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1. move 8x to the other side

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2. divide both sides by -4

\frac{-4y}{-4} = \frac{20-8x}{-4}

3. Solve for this...

y=2x-5

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