3 years ago

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

1 answer:

4 0

You can just insert 1, 4, and 10 for n.

A(1) = -2 + (1 - 1) * (-2.2) = -2
A(4) = -2 + (4 - 1) * (-2.2) = -8.6
A(10) = -2 + (10 - 1) * (-2.2) = -21.8

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(3,4) and (12,19) find the equation of the line that passes through it

harina [27]

Answer:

The equation of the line will be:

$y=\frac{5}{3}x-1$

Step-by-step explanation:

Given the points

(3, 4)

(12, 9)

Finding the slope between (3, 4) and (12, 9)

$\left(x_1,\:y_1\right)=\left(3,\:4\right),\:\left(x_2,\:y_2\right)=\left(12,\:19\right)$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{19-4}{12-3}$

$m=\frac{5}{3}$

The equation of the line can be obtained using the point-slope form of the equation of the line

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 5/9 and the point (3, 4)

$y-4=\frac{5}{3}\left(x-3\right)$

$y-4+4=\frac{5}{3}\left(x-3\right)+4$

$y=\frac{5}{3}x-1$

Therefore, the equation of the line will be:

$y=\frac{5}{3}x-1$

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How many people must attend the third show so that the average attendance per show is 3000 write an equation too

Lubov Fominskaja [6]

3500 people in the third show

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Answer:

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Hope it helps!

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