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Lina20 [59]
3 years ago
9

Which of the following equations could represent the points in the table? Select all that apply.

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

Options (A) and (C)

Step-by-step explanation:

From table attached,

Let the equation of a linear equation that represents the input-output values in the table is,

y - y' = m(x - x')

Where (x', y') is a point lying on the graph.

And m = slope of the line passing through two points (x_1,y_1) and (x_2,y_2)

m = \frac{y_2-y_1}{x_2-x_1}

Slope of the line passing through (0, 11) and (1, 5) will be,

m = \frac{11-5}{0-1}

m = -6

Therefore, equation of the line passing through (0, 11) and slope = -6 will be,

y - 11 = -6(x - 0)

Equation of a line passing through (1, 5) and slope = -6 will be,

y - 5 = -6(x - 1)

Equation of a line passing through (2, -1) and slope = -6 will be,

y + 1 = -6(x - 2)

Equation of a line passing through (3, -7) and slope = -6 will be,

y + 7 = -6(x - 3)

Therefore, Options (A) and (C) are the correct options.

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Answer:

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Step-by-step explanation:

4 0
2 years ago
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If the mean of the data below is 3.8, find m<br>x 1 2 3 4 5 6<br>f 1 4 7 m 6 3​
zloy xaker [14]

Answer:

m = 1.8

Step-by-step explanation:

Given data is as follows :

x 1 2 3 4 5 6

f 1 4 7 m 6 3​

We need to find the value of m if the mean of the data is 3.8.

Mean = sum of observations/no. of observations

So,

3.8=\dfrac{1+4+7+m+6+3}{6}\\\\22.8=21+m\\\\22.8-21=m\\\\m=1.8

So, the value of m is equal to 1.8.

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3 years ago
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12345 [234]
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3 years ago
8 to 11 do it with equations thx
Alenkasestr [34]

Answer:

Step-by-step explanation:

8. 4\geq x+\frac{3}{4}

4(4\geq x+\frac{3}{4} )

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-3         -3

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\frac{13}{4} \geq x = x\leq \frac{13}{4}

x\leq \frac{13}{4}=3.25

9. x-3\leq -8

       +3     +3

x\leq -5}

10. 4\leq x-7

  +7         +7

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11. 6.9 < x - 2.3

 + 2.3      + 2.3

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Hope this helps!

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2 years ago
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