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Nataly [62]
3 years ago
15

A grocery store sells a bag of 4 oranges for $3.64. How much would it cost for 6

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
6 0

Answer: $6.54

Step-by-step explanation:

The price of one orange is $1.09

The price of 4 oranges is $3.64

The price of 6 oranges is $6.54

damaskus [11]3 years ago
4 0

Answer:

$5.46

Step-by-step explanation:

First we need to find out how much it costs per orange

$3.64/4=$0.91

Now that we know it costs $0.91 we need to know the cost for 6 oranges

$0.91*6=$5.46

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You're trying to find constants a_0,a_1,a_2 such that \hat y=a_0+a_1\hat x+a_2{\hat x}^2. Equivalently, you're looking for the least-square solution to the following matrix equation.


\underbrace{\begin{bmatrix}1&6&6^2\\1&3&3^2\\\vdots&\vdots&\vdots\\1&9&9^2\end{bmatrix}}_{\mathbf A}\underbrace{\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}}_{\mathbf x}=\underbrace{\begin{bmatrix}100\\110\\\vdots\\70\end{bmatrix}}_{\mathbf b}

To solve \mathbf{Ax}=\mathbf b, multiply both sides by the transpose of \mathbf A, which introduces an invertible square matrix on the LHS.

\mathbf{Ax}=\mathbf b\implies\mathbf A^\top\mathbf{Ax}=\mathbf A^\top\mathbf b\implies\mathbf x=(\mathbf A^\top\mathbf A)^{-1}\mathbf A^\top\mathbf b

Computing this, you'd find that

\mathbf x=\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}\approx\begin{bmatrix}121.119\\-3.786\\-0.175\end{bmatrix}

which means the first choice is correct.
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3 years ago
Please help me with this use the screen shot
dezoksy [38]
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Kryger [21]

Answer:

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Step-by-step explanation:

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3 years ago
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brilliants [131]
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Answer:

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Step-by-step explanation:

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