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Alborosie
2 years ago
12

Use the table to write a linear function that relates y to z X -4, -2, 0, 2 Y 6, 7, 8 , 9

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
5 0

Answer:

The linear function is

Step-by-step explanation:

A linear function has the following format:

In which m is the slope and b is the y-intercept(the value of y when x = 0).

In the table, we have that when x = 0, y = 2

This means that . So

Finding the slope:

We take two points, and the slope is given by the change in y divided by the change in x.

Points (0,2) and (1,-1)

Change in y: -1 - 2 = -3

Change in x: 1 - 0 = 1

Slope:

So

Step-by-step explanation:

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The quotient of two fraction is the multiplication between the first and the inverse of the second:

\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}

So, in your case, you have

\dfrac{3}{5} \div \dfrac{6}{7} = \dfrac{3}{5} \cdot \dfrac{7}{6} = \dfrac{7}{10}

So, the question now is: which is larger, 7/10 or 3/5? To answer this question, transform the second fraction so that it will have denominator 10 as well:

\dfrac{3}{5} = \dfrac{3\cdot 2}{5 \cdot 2} = \dfrac{6}{10}

So, now it is clear that

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We are asked to find for an expression that represents the perimeter of a picture frame which has a shape of a rectangle. The dimensions given are length of size x cm and a width of size 9 cm.

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