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Leokris [45]
3 years ago
14

What is the value of 6n-2

Mathematics
1 answer:
ad-work [718]3 years ago
5 0
<span>Factor <span><span>6n</span>−2
</span></span><span><span>6n</span>−2
</span><span>=<span>2<span>(<span><span>3n</span>−1</span>)
</span></span></span><u>Answer: </u><span>2<span>(<span><span>3n</span>−1</span><span>)</span></span></span>
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5. From the choices below, choose an expression that is equivalent to the
blondinia [14]

Answer: -(22/4)

Step-by-step explanation:

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Mariah bought nine yards of fabric for a project she used three yards on the first day what fraction of the fabric did she use t
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3 years ago
Help please I’ll give you 25 points
Ira Lisetskai [31]

Answer: Choice D) y = \pm \sqrt{x+5}

The steps to finding the inverse will have us swap x and y. Afterward, we solve for y

y = x^2 - 5 \\\\x = y^2 - 5 \\\\x+5 = y^2 \\\\y^2 = x+5 \\\\y = \pm \sqrt{x+5} \\\\

------------------------------

Extra info:

The inverse relation is not a function because of the plus minus. For instance, plugging x = 4 into y = \pm \sqrt{x+5} leads to y = -3 and y = 3 simultaneously. You would have to apply a domain restriction on y = x^2-5 to make it a one-to-one function, to make the inverse a function. One possible domain restriction is x > 0 which would lead to the inverse function y = \sqrt{x+5}

4 0
3 years ago
Let u = &lt;-4, 3&gt;. Find the unit vector in the direction of u, and write your answer in component form. (2 points)
lana66690 [7]

Answer:  < -4/5,  3/5>

This is equivalent to writing < -0.8, 0.6 >

======================================================

Explanation:

Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.

We have a right triangle with legs of 4 and 3. The hypotenuse is \sqrt{4^2+3^2} = \sqrt{16+9} = \sqrt{25} = 5 through use of the pythagorean theorem.

We have a 3-4-5 right triangle.

Therefore, the vector is 5 units long. This is the magnitude of the vector.

Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.

Therefore, we go from < -4, 3 > to < -4/5,  3/5 >

This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6

Side note: Unit vectors are useful in computer graphics.

6 0
2 years ago
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