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Mila [183]
2 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]2 years ago
5 0

Answer:

a

Step-by-step explanation:

took the test

Valentin [98]2 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


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ioda
C. x³ - x²

In word problems, there terms which indicate the mathematical operation that needs to be performed.

difference = refers to the answer in subtraction
triple a number or double a number refers to the number of times a number is multiplied by itself.

in triple a number = a number is multiplied by itself three times.
in double a number = a number is multiplied by itself two times.

It would initially look like this: (x * x * x) - (x * x); to simplify the expression, a number to be multiplied is written down and the number of times it will multiply by itself is noted on the upper right side of the number when we look at it.

Thus: x³ - x² is the correct expression that best describes the word problem above.
8 0
2 years ago
Read 2 more answers
A school has 1,000 students on Wednesday, 300 students went on a field trip. What percent of students did not go on the field tr
iris [78.8K]

Answer:

%70

Step-by-step explanation:1,000=%100  300+%30  1000 - 300 = 700 so 700 + %70

7 0
2 years ago
Find the indicated probability or percentage for the sampling error. The distribution of weekly salaries at a large company is r
Flauer [41]

Answer:

The probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 80 employees will be at most $75 is 0.9297.

Step-by-step explanation:

According to the Central Limit Theorem if we have a non-normal population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample means is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

\mu=\$1000\\\sigma=\$370\\n=80

As <em>n</em> = 80 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean weekly salaries.

Let \bar X represent the sample mean weekly salaries.

The distribution of \bar X is: \bar X\sim N(\$1000,\ \$41.37)

Now we need to compute the probability of the sampling error made in estimating the mean weekly salary to be at most $75.

The sampling error is the the difference between the estimated value of the parameter and the actual value of the parameter, i.e. in this case the sampling error is, |\bar X-\mu|= 75.

Compute the probability as follows:

P(-75

                                     =P(-1.81

Thus, the probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 80 employees will be at most $75 is 0.9297.

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3 years ago
David's goldfish ate 20 grams of food in 4 weeks. At this rate, how long would it take the fish to eat the food
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2 years ago
Resultado de ____ · 200 = -1.000
elixir [45]

Answer:

-1.000/200 = 5

(-5) · 200 = -1.000

6 0
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