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Ann [662]
3 years ago
6

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

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

<h2>y = 4x + 19</h2>

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) &gt;-8<br> What is the answer
Vlad [161]

Answer:

x < 7

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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<u>REMEMBER</u>

When doing greater than and less than equations like this, if you divide by a negative you must flip the greater than/less than.

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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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4 0
3 years ago
For f(x) = 3x + 1 and g(x) = x2 - 6, find (f + g)(x).
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8 0
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 =

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Change in Y =

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

3 0
3 years ago
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