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2 years ago

X4 - 4k3 + 4k Factor out the GCF of all three terms

Mathematics

1 answer:

Tatiana [17]2 years ago

5 0

Answer:

Step-by-step explanation:

There isn't one. The first term is x^4.

The other two are stated in terms of k. There is nothing common here.

You can do 2 of the three. Terms 2 and 3 have a common factor of 4k, so what you can get is

x^4 - 4k(k^2 - 1)

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Graph<img src="https://tex.z-dn.net/?f=fx%3D%20%7Cx%2B1%7C%20%2B2" id="TexFormula1" title="fx= |x+1| +2" alt="fx= |x+1| +2" alig

AURORKA [14]

Answer:

The graph is shown in the following image

Step-by-step explanation:

The parent function of $f(x) = | x + 1 | +2$ is $y = | x |$

The graph of $y = | x |$ is the union of two lines:

$y = x$ for $x\geq0$

$y = -x$ for $x$

The vertex of this graph is in point (0,0)

<em>The graphic is shown in the attached image</em>.

Then, if we do $y = f(x + 1)$ to the parent function we get:

$y = | x + 1 |$

This transformation shifts the graph of $y = |x|$ 1 unit to the left

Then, if we make the transformation $y = f(x) + 2$ to the function $y = | x + 1 |$ we obtain:

$y = | x + 1 | +2$

This transformation displaces the graph of the function $y = | x + 1 |$ 2 units up on the y axis.

So, if the vertex of the main function $y = | x |$ was at point (0,0), the vertex of the function $f(x) = |x + 1| +2$ has its vertex in the point (-1, 2).

<em>The graph is shown in the following image</em>

5 0

3 years ago

I need the answer if you know write with explination if you don't know don't answer

yarga [219]

Answer:

ABD ≅ ACD and PQS ≅ PRS

Step-by-step explanation:

For ABD ≅ ACD;

AB = AC = 3.5

BD = CD = 2.5

AD ≅ AD by reflexive

Since all 3 sides are congruent, SSS can be used

For PQS ≅ PRS

PQ≅PR by given

QS≅RS by given

PS≅PS by reflexive property

Since all 3 sides are congruent, SSS can be used and they are congruent

8 0

3 years ago

The perimeter of a rectangle is 90 inches. The width of the rectangle is 9 inches less than the length of the rectangle find the

Sphinxa [80]

Answer:

810

Step-by-step explanation:just

just multiply both numbers

7 0

3 years ago

Relationship A has a lesser rate than Relationship B. This table represents Relationship B.

Alja [10]

Answer:

y = 18.1x ; and y = 18x

Explanation:

The rate of change in Relationship B can be found by using the formula for slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the first two points, we have

$m=\frac{73-36.50}{4-2}=\frac{36.50}{2}=18.25$

We know that Relationship A has a lesser rate than this. The choices given for Relationship A are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in this case b = 0).

The slope of the first equation is 18.1; this is less than 18.25.

The slope of the second equation is 18.6; this is greater than 18.25.

The slope of the third equation is 18.3; this is greater than 18.25.

The slope of the fourth equation is 18; this is less than 18.25.

6 0

3 years ago

Read 2 more answers

The perimeter of a rectangle window is 226 cm. If the length of the window is 62 cm, what is its width?

iVinArrow [24]

Answer:

51 cm

Step-by-step explanation:

perimeter = 2 * length + 2 * width

226 = 2 * 62 + 2 * width

226 = 124 + 2 * width

226 - 124 = 2 * width

102 = 2 * width

102/2 = width

51 = width

7 0

3 years ago

X4 - 4k3 + 4k Factor out the GCF of all three terms​

X4 - 4k3 + 4k Factor out the GCF of all three terms