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2 years ago

Write a linear function that passes through the points (3, -7) and (0, 15)

Mathematics

1 answer:

denis23 [38]2 years ago

8 0

Answer:

The linear function for the given pts. will be

$y = \frac{ - 22}{3}x + 15$

Step-by-step explanation:

Hello!

$first \: find \: the \: slope \: for \: the \: two \: pts. \\ m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{(15 - ( - 7))}{(0 - 3)} where \: y2 = 15 \\ y1 = - 7 \\ x2 = 0 \\ x1 = 3 \\ m = \frac{ - 22}{3} \\ thus \: y = mx + b \: \: solve \: for \: b \: using \: one \: of \: the \: two \: points \\ lets \: take \: the \: second \: point \\ y = mx + b \\ 15 = \frac{ - 22}{3} (0) + b \\ b = 15 \\ therefore \: substitute \: this \: value \: to \: get \: the \: \\ y = \frac{ - 22}{3} x + 15$

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Well, you already have the decay model, so just plug that in

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3 years ago

Look at the angles for all regular polygons. As the number of sides increases, do the measures of the angles increase or decreas

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Answer:

As the number of sides increases, the measures of the angles increase

see the explanation

Step-by-step explanation:

we know that

The measure of the interior angle in a regular polygon is equal to

$x=\frac{(n-2)}{n}(180^o)$

where

n is the number of sides of the regular polygon

x is the measure of the interior angle in a regular polygon

we have that

Examples

A triangle

n=3 sides

$x=\frac{(3-2)}{3}(180^o)=60^o$

A square

n=4 sides

$x=\frac{(4-2)}{4}(180^o)=90^o$

A pentagon

n=5 sides

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A hexagon

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n ----> 3,4,5,6...

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As the number of sides increases, the measures of the angles increase

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

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nadezda [96]

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3.75(5) = 18.75

5 pizzas cost $18.75.

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2 years ago

Read 2 more answers