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Karolina [17]
3 years ago
14

Determine if the function represented by the table is linear. Explain.

Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.

Step-by-step explanation:

Given the table

x     -10       -14         -18         -24

y       6         10          16          24

  • A linear function has a constant change in x and a constant change in y values.

In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.

It is clear that there is a NO constant change in x

i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6

It is clear that there is a NO constant change in y

i.e. 10-6=4, 16-10 = 6, 24-16 = 8

Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.

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The equation for a circle is as followed:

(x-h)^2+(y-k)^2=r^2

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We are given (h,k) and need to find the radius. To do so, we can use the distance formula to find the distance from the  center to the point on the circle:

d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Plug in the two points:

d= \sqrt{(3-(-6))^2+(2-(-4))^2}

d= \sqrt{(9)^2+(6)^2}

d= \sqrt{117}

If the distance from the center to the edge of the circle is the square root of 117, then r^2 = 117.

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2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou
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Answer:

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Step-by-step explanation:

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