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2 years ago

Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function?

Mathematics

1 answer:

Lana71 [14]2 years ago

4 0

Answer:

The value of x = - 1 and 2 double root of this function

Step-by-step explanation:

we need to find the value of x which double root of $f(x)=x^{3} -3x-2$

If we replace x with -2 then

$f(-2)=(-2)^{3} -3(-2)-2 = -8+6-2 =-4$

If we replace x with -1 then

$f(-1)=(-1)^{3} -3(-1)-2 = -1+3-2 =0$

If we replace x with 1 then

$f(1)=(1)^{3} -3(1)-2 = 1-3-2 =-4$

If we replace x with 2 then

$f(2)=(2)^{3} -3(2)-2 = 8-6-2 =0$

Hence, the value of x = - 1 and 2 double root of this function

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A group of friends has gotten very competitive with their board game nights. They have found that overall, they each have won an

Amanda [17]

Answer: $\mu_x=18\text{ hours}$

$\sigma_x=4\text{ hours}$

Step-by-step explanation:

We know that mean and standard deviation of sampling distribution is given by :-

$\mu_x=\mu$

$\sigma_x=\dfrac{\sigma}{\sqrt{n}}$

, where $\mu$ = population mean

$\sigma$ =Population standard deviation.

n= sample size .

In the given situation, we have

$\mu=18\text{ hours}$

$\sigma=6\text{ hours}$

n= 2

Then, the expected mean and the standard deviation of the sampling distribution will be :_

$\mu_x=\mu=18\text{ hours}$

$\sigma_x=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{2}}=4.24264068712\approx4$ [Rounded to the nearest whole number]

Hence, the the expected mean and the standard deviation of the sampling distribution :

$\mu_x=18\text{ hours}$

$\sigma_x=4\text{ hours}$

7 0

2 years ago

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos

cluponka [151]

<span>we have to solve simultaneous equations.

x = 10 oz. boxes

y = 16 oz. boxes

simultaneous equations

x + y = 24 ---1)

3.50x + 5.00y = 97.50 ----2)

to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5

5x + 5y = 120 --3)

subtract 3) - 2)

5x - 3.50x = 120 - 97.50

1.50x = 22.5 x = 15

number of 10 oz. boxes are 15. answer is d.15</span>

6 0

2 years ago

Read 2 more answers

What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?

yarga [219]

Answer:

Step-by-step explanation:

1. regroup terms

$125x^3+343+525x^2+735x$