What is the greatest common factor of 15, 75, and 9

Mathematics

1 answer:

Leokris [45]3 years ago

3 0

Answer:

Step-by-step explanation:

please mark Brainliest

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3 years ago

6y - 12 = -3x. Write in standard form

bulgar [2K]

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The equation of (0, 3 (4, 2)

marusya05 [52]

Answer:

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Step-by-step explanation:

its the only one that is positive

and this is guess so don’t hate me if its wrong

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3 years ago

What is the quadratic regression equation for the data set? <br><br> PLEASEE HELP ME

Soloha48 [4]

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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loris [4]

<span>For exponential decrease use the formula P(1 - r)^t
p: initial amount
r: rate of change or percent of decrease (be sure to put in decimal form or you wont get the right answer)
t: amount of time (in years)
1,000,000 (1-0.042)^15 =
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(also make sure to use pemdas or order of operations when solving) hope this helps :)</span>

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3 years ago