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OverLord2011 [107]
3 years ago
14

What is the completely factored form of 2x^3+4x^2-x

Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

I think it's:

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

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For the function g(x)=3-8(1/4)^2-x
Reika [66]

Using function concepts, it is found that:

  • a) The y-intercept is y = 2.5.
  • b) The horizontal asymptote is x = 3.
  • c) The function is decreasing.
  • d) The domain is (-\infty,\infty) and the range is (-\infty,3).
  • e) The graph is given at the end of the answer.

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

The given function is:

g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}

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

Question a:

The y-intercept is g(0), thus:

g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5

The y-intercept is y = 2.5.

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

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3

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

\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty

Thus, the horizontal asymptote is x = 3.

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

Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

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

Question d:

  • Exponential function has no restrictions in the domain, so it is all real values, that is (-\infty,\infty).
  • From the limits in item c, the range is: (-\infty,3)

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

The sketching of the graph is given appended at the end of this answer.

A similar problem is given at brainly.com/question/16533631

8 0
2 years ago
Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour
Nostrana [21]
62 miles 217/3.5 to get mph then mph is 62 so every hour they travel 62 miles
6 0
3 years ago
Suppose c and d vary inversely, and d = 2 when c = 17.
stepladder [879]

Answer:

if d=2 and c=17

then c=68 and d=8

please mark me as brainlist ....

hope e will help you

4 0
3 years ago
PLEASE HELP, 10TH GRADE GEOMETRY (REAL ANSWERS PLSSSS)
Zina [86]

Answer:

The correct option is 4.

Step-by-step explanation:

Let the line AB divided into 7 equal parts.

It is given that point P partitions the directed line segment from A to B in 3:4. It means 3 parts are before P and 4 partes are after P.

It is given that point Q partitions the directed line segment from A to B in 4:3. It means 4 parts are before Q and 3 partes are after Q.

It is given that point R partitions the directed line segment from A to B in2:5. It means 2 parts are before R and 5 partes are after R.

It is given that point S partitions the directed line segment from A to B in 5:2. It means 5 parts are before S and 2 partes are after S.

From the below figure we can say that point S is closest to point B.

It is also written as

A

A

Therefore option 4 is correct.

6 0
3 years ago
Read 2 more answers
The volume of a prism is 378CM2 one of the faces are 27cm 2 the edge is x, x=?<br> mathswatch.
olga_2 [115]

The length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

The question is incomplete.

The complete question is in the picture please refer to the attached picture.

We know the volume of the prism can be calculated:

Volume = base area×length

378 = 27x

x = 378/27 = 14 cm

Thus, the length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.

Learn more about the volume here:

brainly.com/question/16788902

#SPJ1

6 0
2 years ago
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