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3 years ago

Solve the equation x^5-4x^4+4x^3+2x^2-5x+2=0

Mathematics

1 answer:

sergejj [24]3 years ago

3 0

Answer:

x = 2 or x = 1 or x = -1

Step-by-step explanation:

Solve for x over the real numbers:

x^5 - 4 x^4 + 4 x^3 + 2 x^2 - 5 x + 2 = 0

The left hand side factors into a product with three terms:

(x - 2) (x - 1)^3 (x + 1) = 0

Split into three equations:

x - 2 = 0 or (x - 1)^3 = 0 or x + 1 = 0

Add 2 to both sides:

x = 2 or (x - 1)^3 = 0 or x + 1 = 0

Take cube roots of both sides:

x = 2 or x - 1 = 0 or x + 1 = 0

Add 1 to both sides:

x = 2 or x = 1 or x + 1 = 0

Subtract 1 from both sides:

Answer: x = 2 or x = 1 or x = -1

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Place these numbers in order from least to greatest: 16/5 -3 6 3.1 -2.5 1/4 -3/4 -3/8

Blizzard [7]

Answer:

I hope this helps :)

Step-by-step explanation:

- Least: -3

- -2.5

- -3/4

- -3/8

- 1/4

- 3.1

- 16/5

- Greatest: 6

4 0

2 years ago

How can we get System B from System A? And are they equivalent?

Aliun [14]

What? Where’s the question 11

8 0

3 years ago

Taka conducts an experiment where he rolls a number cube, with sides labeled from 1 to 6, and then flips a coin. This table show

sweet [91]

The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.-------------------Explanation:
Theoretical probability is the mathematically calculated probability of the circumstances occurring.
There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.
Since the question asks for the possibility of both happening, multiply those together to find the probability:

The theoretical probability of rolling an even number and then flipping a head is 1/4.
Now we'll focus on Taka's trials.
Experimental probability is the probability that is taken from results of a trial.
Take the results, and see if they match the criteria of rolling an even number and flipping heads.
The results that are bolded fit the criteria:1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6

7 0

3 years ago

Can someone please help me out

Paha777 [63]

Answer:

D. 20.

Step-by-step explanation:

-17 - -37 = 20.

These are all of the steps, to completely, get the correct answer to this question.

Hope this helps!!!

Kyle.

8 0

3 years ago

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption for microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, the test statistics = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0

3 years ago