All categories

3 years ago

Please help! Algebra 2!

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

7 0

Answer:

2 complex roots

Step-by-step explanation:

The function f(x)=x^5+4x^3−5x can be factored as follows:

f(x)=x(x^4+4x^2−5). One root, a real root, is zero.

That leaves g(x) = x^4+4x^2−5. Substitute p = x^2, obtaining p^2 + 4p - 5 = 0. This factors as follows: (p+5)(p-1) = 0. Thus, p = -5 and p = 1.

Recalling that p = x^2, we have -5 = x^2 and +1 = x^2. The latter yields x = 1 and x = -1. The former yields +i√5 and =i√5.

Thus, the given poly has 3 real zeros: -1, 1 and 0. Due to the imaginary roots shown above, this means that this poly has 2 complex roots.

You might be interested in

The Silvertons are looking at purchasing a new car for their family. Steve Silverton wants to purchase a 2019 Chevrolet Tahoe wh

kicyunya [14]

Nana baca. Jxhvcjsje

3 0

3 years ago

Read 2 more answers

A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte

AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR$ =Angle subtended by the statue to where you are standing.

$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

3 0

3 years ago

Natasha is driving at a rate of 4 miles every 3 minutes. How fast is Natasha driving in miles per hour?

balandron [24]

Answer: D

Explanation:

8 0

3 years ago

Solve 5n+7=7(n+l)-2n <br>

notsponge [240]

Answer: The answer is 1 =n and my work is in the bottom and hope this help :)

Step-by-step explanation:

5n+7=7(n+l)-2n distributive property

5n+7=7n+7-2n Combines Like Term

5n+7= 12n subtract 5n to both side

-5n -5n

7 = 7n divide 7n to both side

7 7

1=n

7 0

3 years ago

Start at (12, 3). Move 2 units right and 7 units up. Where do you end up?

Korolek [52]

Answer: (10, 10)

Step-by-step explanation: well if you say start at (12, 3) move 7 units up then 3 units right then it would make it easier to figure it out cus as you can see start at 3 and go up 7 it would stop at 10 then if you go over 2 from 12 it would stop at 10

6 0

3 years ago