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zzz [600]
3 years ago
5

Given f(x)=1/3(4-x)2, what is the value of f(16)

Mathematics
1 answer:
lidiya [134]3 years ago
5 0
Answer: The value is 3

Work: 16f=1/3(-12)^2 16f=1/3•12^2 16f=1/3•144 16f=48
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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]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
3 years ago
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among
9966 [12]

Answer:

Step-by-step explanation:

Each child received two pieces.

So total   pieces received by 4 children = 4*2 = 8

Total pieces = 10 + 8 = 18

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3 years ago
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{5}^{2}  +  {h}^{2}  =  {15}^{2}
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sqrt{200}

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Variable y varies directly with variable x, and y = 6 when x = 20.
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In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3
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3 years ago
7 times the sum of a number and 4 is the same as 8 decreased by 3 times the number. Find the number
Marrrta [24]

Answer:

7(x4) = 8-x

Step-by-step explanation:

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