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Mrac [35]
3 years ago
12

Write a linear function f with the values f (0) =4 and f(3)=-8

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

Answer:

f(x) = - 4x + 4

Step-by-step explanation:

Step-by-step explanation:

A linear function has the form

f(x) = ax + b, thus

f(0) = a(0) + b = 4, that is

0 + b = 4 , hence b = 4

f(3) = 3a + b = - 8 ← substitute b = 4

3a + 4 = - 8 ( subtract 4 from both sides )

3a = - 12 ( divide both sides by 3 )

a = - 4, thus

f(x) = - 4x + 4

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The scale factor is: 1/5.

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<h3>How to find Scale Factor?</h3>

Scale factor = dimension of new figure / dimension of original figure

The polygons given are shown in the diagram attached below.

Figure A is the original figure

Figure B is the new figure.

x, y, and z has been used to mark the missing sides of figure B.

One dimension of original figure = 15

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Scale factor = new/original = 3/15

Scale factor = 1/5

To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:

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Learn more about scale factor on:

brainly.com/question/2826496

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