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3 years ago

Use the table to write a linear function that relates y to x .

Mathematics

1 answer:

Helen [10]3 years ago

8 0

Answer:

y = -3x + 2

Step-by-step explanation:

The linear equation is in the form

y = mx + b

where m is the slope and b is the y-intercept

the slope can be calculated using two points

Let us have; (-2,8) and (0,2)

The equation of the slope is ;

m = (y2-y1)/(x2-x1) = (2-8)/(0+2) = -6/2 = -3

So for the y-intercept, we select any of the points to substitute

Let us have (0,2)

Substitute this into;

y = -3x + b

2 = -3(0) + b

b = 2

So the equation is;

y = -3x + 2

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AlekseyPX

Hi!

Square roots where the things under the root are multiplied (for example $\sqrt{xy}$ ) can be split up into $\sqrt{x} * \sqrt{y}$ .

That's what I'm going to do in this case. I'm going to split $\sqrt[3]{125x^{12}}$ into $\sqrt[3]{125} * \sqrt[3]{x^{12}}$

Now, the cube root of 125 is 5, because 5 * 5 * 5 = 125, and that is the definition of a cube root. (What multiplied 3 times by itself is equal to what's under the root)

Now to look at what the cube root of $x^{12}$ is.

A cube root can be rewritten as $x^{\frac{1}{3}}$ , same as a square root can be rewritten to $x^{\frac{1}{2}}$ .

So if you take the cube root of x^12, you can change it to:

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If you have a case like this, then you can multiply the two powers (in this case 12 and 1/3) to simplify it. 12 * 1/3 = 4, so you get x^4.

Now putting the two together, you get:

5 $x^{4}$ as your answer.

Hope this helped!

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to sec2x − 1?

evablogger [386]

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3 years ago

A bank gives two dollars in eastern caribbean currency for one united states dollar. Given 1% tax is charged on all foreign exch

horsena [70]

Answer:

A tourist receives 2376 ec currency in exchange for us 1200.

Step-by-step explanation:

This can be calculated as follows:

Tax rate = 1%

Amount of us currency = 1200

Total amount of ec currency = Amount of us currency * 2 = 1200 * 2 = 2400

Amount of tax = Total amount of ec currency * Tax rate = 2400 * 1% = 24

Net amount of ec currency = Total amount of ec currency - Amount of tax = 2400 - 24 = 2376

Net amount ec currency obtained above is the amount of ec currency which a tourist receives in exchange for us 1200.

Therefore, a tourist receives 2376 ec currency in exchange for us 1200.

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3 years ago

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Luden [163]

Answer:

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Step-by-step explanation:

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3 years ago

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Likurg_2 [28]

Answer:

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Step-by-step explanation:

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