1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mila [183]
3 years ago
15

Which answer best describes the complex zeros of the polynomial function? f(x)=x3+x2−8x−8

Mathematics
2 answers:
lidiya [134]3 years ago
5 0

Answer:

a

Step-by-step explanation:

took the test

Valentin [98]3 years ago
4 0

we are given

f(x)=x^3+x^2-8x-8

We can use Descarte's sign rule to find number of real roots

Positive real roots:

f(x)=x^3+x^2-8x-8

we can see that number of sign changes in this function is 1

so, number of positive real root =1

Negative real roots:

Firstly, we will find f(-x)

f(-x)=(-x)^3+(-x)^2-8(-x)-8

f(-x)=-x^3+x^2+8x-8

we can see that number of sign changes in this function is 2

so, number of negative  real root =2

so, total number of real roots = number of positive real roots + number of negative real roots

total number of real roots =1+2

total number of real roots =3

Since, the degree of this polynomial is 3

so, maximum number of roots must be 3

We know that all roots are also called x-intercept because it crosses x-axis at that value

so, function will cross x-axis thrice

so, option-A.......Answer


You might be interested in
Which property is shown? 4/5+ -<br> 4/5=0
TEA [102]
This looks like the additive inverse property, because when you add something to its negative counterpart (or its additive inverse), you get 0 as a sum.

Another example would be 2+ (-2) = 0. -2 is the additive inverse for 2.
7 0
3 years ago
What is the arc length of an arc with radius 15 inches and central angle 30 degrees
RUDIKE [14]

Answer:

7.855 inches

Step-by-step explanation:

The formula to find the length of an arc is :

Arc Length = \frac{\theta}{360} × 2 π r

Here,

Θ ⇒ size of the angle ⇒ 30°

r ⇒ radius ⇒ 15 inches

<u>Let us solve it now.</u>

Arc length = \frac{\theta}{360} × 2 π r

Arc length = \frac{30}{360}*2*\pi*15

Arc length = \frac{30*2*\pi*15}{360}

Arc length = \frac{2827.8}{360}

Arc length = 7.855 inches

Let me know if you have any other questions. :)

7 0
2 years ago
Mr. Hammond is the volunteer coordinator for a company that puts on running races. Last year, the company organized 7 short race
worty [1.4K]

Answer:

28 short race volunteers

76 long race volunteers

Step-by-step explanation:

Let :

Short races = a

Long races = b

LAST YEAR:

7a + 8b = 804 - - - - (1)

THIS YEAR:

11a + 5b = 688 - - - (2)

Multiply (1) by 5 and (2) by 8

35a + 40b = 4020

88a + 40b = 5504

Subtract

-53a = - 1484

a = 1484 / 53

a = 28

Put a = 28 in equation (1)

7(28) + 8b = 804

196 + 8b = 804

8b = 804 - 196

8b = 608

b = 76

28 short race volunteers

76 long race volunteers

4 0
2 years ago
PWEASE HELP I WILL MARK CHU BRAINLIST &gt;:3
Vanyuwa [196]

Answer:

The scale factor is  

Is a reduction

Step-by-step explanation:

we know that

The scale factor is the ratio of the corresponding side of resulting triangle by the corresponding side of the first triangle

Let

z-----> the scale factor

x------> the corresponding side of resulting triangle

y------> the corresponding side of the first triangle

so

In this problem we have

substitute

The scale factor is less than one

therefore

Is a reduction

6 0
3 years ago
What is simplest form of sqrt 2 + sqrt 5 / sqrt 2 - sqrt -5? √2 + √5 / √2 - √-5
Leni [432]

Answer:

\frac{-7-2\sqrt{10}}{3}

Step-by-step explanation:

we have

\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}}

Simplify

Multiply the expression by  \frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}}

(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}})(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}})

Apply difference of squares in the denominator

\frac{(\sqrt{2}+\sqrt{5})^2}{(\sqrt{2})^2-(\sqrt{5})^2}

\frac{2+2\sqrt{10}+5}{2-5}

\frac{7+2\sqrt{10}}{-3}

\frac{-7-2\sqrt{10}}{3}

6 0
3 years ago
Other questions:
  • Which of the functions sketched below could be a probability density function?
    15·2 answers
  • Which rays form the sides of IHG
    7·1 answer
  • During a recent eruption, the volcano spewed out copious amount of ash. One small piece of ash was ejected from the volcano with
    9·1 answer
  • A group of students at a school takes a history test. The distribution is normal with a mean of 25, and a standard deviation of
    6·1 answer
  • Explain your answer, please.
    11·2 answers
  • Martin is logging the number of strikes he bowls per hour. He has determined the function to be f(x) = 2x + 5, where x represent
    9·1 answer
  • If a rectangular prism and a cylinder have the same height and volume, what is their cross sectional area parallel to the bases
    6·2 answers
  • Please helpppp!!(:
    12·1 answer
  • What is the area of a circle with a radius of 3? Give your answer in terms of π.
    14·1 answer
  • Josh travels frequently. For a particular airline, it takes 20 minutes for the first bag to arrive in baggage claim after a flig
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!