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2 years ago

Determine if x-3 is a factor of f(x)=x^3-x^2-5x-3

Mathematics

2 answers:

soldier1979 [14.2K]2 years ago

7 0

Answer:

(x - 3) is a factor of the given function

Step-by-step explanation:

Given function:

$\implies f\:\!\:(x)=x^3-x^2-5x-3$

If (x - 3) is a factor of the given function then $f\:\!\:(3) = 0$

Substitute x = 3 into the function and solve:

$\implies f\:\!\:(3)=(3)^3-(3)^2-5(3)-3$

$\implies f\:\!\:(3)=27-9-15-3$

$\implies f\:\!\:(3)=0$

Therefore, as $f\:\!\:(3) = 0$ then (x - 3) is a factor of the given function.

lord [1]2 years ago

5 0

Step-by-step explanation:

please mark me as brainlest

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fenix001 [56]

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3 years ago

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance of 4,000,000 and a mean

In-s [12.5K]

Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 19000, \sigma = \sqrt{4000000} = 2000$

The probability that the life span of the monitor will be more than 20,179 hours is one subtracted by the p-value of Z when X = 20179, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20179 - 19000}{2000}$

Z = 0.59.

Z = 0.59 has a p-value of 0.7224.

1 - 0.7224 = 0.2776.

0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

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2 years ago

Can someone help me with this question ASAP

sattari [20]

Let m be the slope:

m=(y₂-y₁)/(x₂-x₁)

solve for c:

1/6=(9-c)/(1-7)

1/6=(9-c)/-6

-1=9-c

-10=-c

c=10

3 0

3 years ago

What are the x-intercepts of the equation? <img src="https://tex.z-dn.net/?f=r%28x%29%20%3D%20x-1%2Fx%2B4" id="TexFormula1"

cestrela7 [59]

Answer:

The only x-intercept is x = 1

Step-by-step explanation:

The equation is:

$r(x)=\frac{x-1}{x+4}$

We can substitute y for r(x), to write in the notation:

$r(x)=\frac{x-1}{x+4}\\y=\frac{x-1}{x+4}$

To get y-intercept, we put x = 0

and

To get x-intercept, we put y =0

We want to find x-intercepts here, so we substitute 0 into y and solve for x. Shown below:

$y=\frac{x-1}{x+4}\\0=\frac{x-1}{x+4}\\0(x+4)=x-1\\0=x-1\\x=1$

The only x-intercept is x = 1

3 0

3 years ago