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Rom4ik [11]
3 years ago
14

The balanced scale represents the equation: 4x + 2 = x + 5

Mathematics
1 answer:
Mama L [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Answer: D) subtract one x block from the left side and subtract two numbered blocks from the right side

Step-by-step explanation:

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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

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8 0
4 years ago
Convert 1.46 radian angle into degrees. Round decimal answers to nearest tenth. Use 3.14 for pi.
natulia [17]

Answer:

83.7°

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X = 83.7°

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