Write an equation for a line passing through the points (-1, 8) and (0, 5).

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

3 0

Y=-3x+5

Mark brainliest please

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What is the sum of the finite arithmetic series? 26 + 29 + 32 + 35 + 38 + 41 + 44

Leya [2.2K]

The sum of the finite arithmetic series of <span> 26 + 29 + 32 + 35 + 38 + 41 + 44 is 245. Arithmetic series is a sequence of number such that the difference between any term and the previous term is a constant number. When we sum a finite number of terms in the arithmetic series, we get the finite arithmetic series. </span>

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3 years ago

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A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased, hence:

x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0 (3)

Represent equations 1, 2 and 3 in matrix form gives:

$\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]$