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Find all the zeros of the polynomial function. x^3 + 2x^2 -5x-6 f(x) a) (-3) b) (-2, 1, 3 c) (-3, -1, 2) d) -1) e) none

Flauer [41]

Answer:1,2,3

Step-by-step explanation:

F(x)= $x^{3}$ +2 $x^2$ - $5x$ - $6$ =0

disintegrating 2 $x^2$ to $x^2$ + $x^2$

$x^{3}$ + $x^2$ + $x^2$ - $5x-6$ =0

$x^2$ $\left ( x+1\right )$ + $x^2$ -5x-6=0

$x^2$ $\left ( x+1\right )$ + $x^2$ -6x+x-6=0

$x^2$ $\left ( x+1\right )$ + $\left (x-6 \right )$ $\left ( x+1\right )$ =0

$\left ( x+1\right )$ $\left ( x^2+x-6\right )$ =0

$\left ( x+1\right )$ $\left ( x^2+3x-2x-6\right )$ =0

$\left ( x+1\right )$ $\left ( x+3\right )$ $\left ( x-2\right )$ =0

4 0

4 years ago

To the nearest hundredth, what is the value of m?

Aleksandr-060686 [28]

Answer:

MEH

Step-by-step explanation:

THE DEMON WILL BE UN AMERICAN IN ORDER FOR A ICE BALL AND THE OTHER IS A SIMP OF A BAT OR SOMETHING THAT IS NOT A GOOD SHOE OR SOMETHING LIKE THIS ONE THAT HAS BEEN TRYING FOR THE PAST THREE YEARS OF THE HW ERA AND THE ONLY ONE I HAVE SOMETHING THAT IS NOT THAT MUCH YOUR JUST BROKE

7 0

4 years ago

FOUR FRIENDS SHARE 3 SHEETS OF PAPER EQUALLY.

jenyasd209 [6]

Answer:

$\frac{3}{4}$ of a sheet of paper

Step-by-step explanation:

Hi!

This isn't the easiest to explain with numbers but I'll do it with an example instead.

If you had 60 cookies and had to split it equally with you and one of your other friends, how would you do it?

You would do $\frac{60}{2}$ , right? Because you have 60 cookies and you're dividing it amongst 2 people.

It's the same idea here!

We take the number of sheets of paper, and we divide it by the number of people we have to share it with.

so we do $\frac{3}{4}$ . You don't even have to simplify in this case because this is a fraction and this is the simplest form of this fraction as well

I hope this made sense, let me know if you have any questions

3 0

3 years ago

Read 2 more answers

What is the height of the triangle? 12 units 24 units 36 units 72 units.

konstantin123 [22]

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.

<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is $16 \sqrt{3}$ units.

As all the sides are equal thus the $\Delta MNO$ is a equilateral triangle in which the height of the divides the triangle into two equal part of the length $8\sqrt{3}$ at point <em>R.</em>

<h3>Height of the triangle-</h3>

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the $\Delta MRN$ , the length of the hypotenuse is $16 \sqrt{3}$ units and the length of the base is $8\sqrt{3}$ units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

$(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2$

Solve for <em>h,</em>

<em />

<em /> $\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end$ <em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

5 0

2 years ago

A school has 3400 students. They conduct a random sample of 124 students and find that 38 of them hate the school.

Contact [7]

Answer:

a) We need a sample size of at least 2401.

b) We need a sample size of at least 1936.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

The margin of error is:

95% confidence level

So , z is the value of Z that has a pvalue of , so .

(a) you are unwilling to predict the proportion value at your school and

We use , which is when we are going to need the largest sample size.

So we need to find We need a sample size of at least 2401.

(b) you use the results from the surveyed school as a guideline.

Now the same calculation, just with . So

We need a sample size of at least 1936.

5 0

3 years ago