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3 years ago

What slope passes through -3,7 and is parallel to 4x-1?

Mathematics

1 answer:

marshall27 [118]3 years ago

3 0

Answer:

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ ||\ k\iff m_1=m_2\\\\\text{We have}\ k:y=4x-1\to m_1=4.\\\\\text{Therefore}\ m_2=4.\\\\l:y=4x+b\\\\\text{Put the coordinates of the point (-3, 7) to the equation of a line:}\\\\7=4(-3)+b\\7=-12+b\qquad\text{add 12 to both sides}\\19=b\to b=19\\\\\text{Finally:}\\\\y=4x+19$

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2 years ago

-2(x-3) >-8<br> What is the answer

Vlad [161]

Answer:

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Step-by-step explanation:

First apply the -2 onto each term that it is being multiplied onto.

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Now subtract six from both sides.

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4 years ago

POPICS! 1-22C Is the weight of a system an extensive or intensive property?

svet-max [94.6K]

Answer:

Extensive property

Step-by-step explanation:

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3 years ago

For f(x) = 3x + 1 and g(x) = x2 - 6, find (f + g)(x).

alexdok [17]

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3 years ago

Using Multiple regression, the relationship of Y to four other variables was established as: Y = 12 + 3X₁ – 5X₂ + 7X₃ + 2X₄ When

alexdok [17]

Answer:

The estimate of Y changes by -2 or decreases by 2.

Step-by-step explanation:

We are given the following information:

Using Multiple regression, the relationship of Y to four other variables was established as:

$Y = 12 + 3X_1- 5X_2 + 7X_3 + 2X_4$

$X_1$ increases 2 units and $X_2$ increases 1 unit, while $X_3$ and $X_4$ remain unchanged.

Predicted Y =

$Y_p = 12 + 3(X_1+2) - 5(X_2+1) + 7X_3 + 2X_4$

Change in Y =

$Y_p - Y \\= 12 + 3(X_1+2) - 5(X_2+1) + 7X_3 + 2X_4-(12 + 3X_1 - 5X_2 + 7X_3 + 2X_4)\\= 12-12+3(X_2+1-X_2)-5(X_2+1-X_2) + 7X_3 - 7X_3 + 2X_4 - 2X_4\\=3 - 5\\= -2$

The estimate of Y changes by -2 or decreases by 2.

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3 years ago