1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex17521 [72]
3 years ago
8

FACTORISE: X3 + 3X2 +3X + 1

Mathematics
2 answers:
Ghella [55]3 years ago
7 0

Answer:

\Huge \boxed{(x+1)^3}

Step-by-step explanation:

x³ + 3x² + 3x + 1

Apply cube of sum rule :

      ⇒ a³ + 3a²b + 3ab² + b³ = (a + b)³

(x)³ + 3(x)²(1) + 3(x)(1)² + (1)³

 ⇒ a = x

 ⇒ b = 1

(x + 1)³

sineoko [7]3 years ago
6 0

Answer:

(x+1)(x+1)^2

Step-by-step explanation:

You might be interested in
Write into expression take away 3 from x
Savatey [412]

The expression will be x-3.

5 0
3 years ago
Can someone help with this I didn’t pay attention in math and I have homework ‍♀️
Lady bird [3.3K]

Answer:

C.

Step-by-step explanation:

Even though it is absolute value, 17 is still the greatest answer. If a number is in absolute value it will never be negative, only positive values can come out of an absolute value.

An example for absolute value would be if you had to measure the amount of distance away from something, even if its behind you, it would still be a positive number of length away from you.

If you had the absolute value of -25, it would automatically be equal to 25.

So circling back to the original problem, the absolute value of 17 would be greater than 3, -4 and -8. If (hypothetically) it was the absolute value of -17 it would still be greater because it would equal 17.

I hope that made sense, im sorry that it's a bit lengthy. Have a good day :)

7 0
2 years ago
A cell phone manufacturer claims that the average battery life of its newest flagship smartphone is exactly 20 hours. Javier bel
adelina 88 [10]

Answer:

(B) Fail to reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours.

(C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean battery life of the smartphone is less than 20 hours.

Step-by-step explanation:

1) Data given and notation    

\bar X=19.5 represent the battery life sample mean  

s=1.9 represent the sample standard deviation    

n=33 sample size    

\mu_o =20 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

2) State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean battery life is less than 20 :    

Null hypothesis:\mu \geq 20    

Alternative hypothesis:\mu < 20    

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:    

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

3) Calculate the statistic    

We can replace in formula (1) the info given like this:    

t=\frac{19.5-20}{\frac{1.9}{\sqrt{33}}}=-1.51    

4) P-value    

First we need to calculate the degrees of freedom given by:

df=n-1=33-1=32

Since is a one-side lower test the p value would be:    

p_v =P(t_{(32)}    

5) Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the average battery life it's not significantly different less than 20 hours at 5% of signficance. If we analyze the options given we have:

(A) Reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. FALSE, we FAIL to reject the null hypothesis.

(B) Fail to reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. TRUE, we fail to reject the null hypothesis that the mean would be 20 or higher .

(C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean battery life of the smartphone is less than 20 hours.  TRUE, we FAIL to reject the null hypothesis that the mean is greater or equal to 20 hours, so we reject the alternative hypothesis that the mean is less than 20 hours.

(D) There is enough evidence at the α=0.05 level of significance to support the claim that the true population mean battery life of the smartphone is not equal to 20 hours. FALSE the claim is not that the mean is different from 20. The real claim is: "Javier believes the mean battery life is less than 20 hours".

5 0
3 years ago
Chase puts 2/7 of a cup of trail mix into 3/4 of a cup size bags. How many bags can he make?
wolverine [178]

Answer:

i have not done this in a year or 2 but i believe it is

2 5/28

Step-by-step explanation:

i may be wrong

7 0
3 years ago
Read 2 more answers
HELP!!!!<br><br><br> chose the faction greater than 9/16 A. 8/15 B.6/14 c. 6/11 d.7/12
frozen [14]

Answer:

Step-by-step explanation:

d.7/12

8 0
3 years ago
Read 2 more answers
Other questions:
  • 3/2000 as a decimal
    14·1 answer
  • Adam can eat
    13·1 answer
  • How does the graph of f(x) =-3^2x-4 differ from the graph of g(x)=-3^2x
    13·1 answer
  • Is the equation a true statement when x = -3? In the other words, is -3 a
    15·1 answer
  • Write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12​
    6·1 answer
  • Write out the steps that you would follow to solve the equation: 3(x-4) = 2x +5
    13·1 answer
  • A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the
    13·1 answer
  • Which name accurately describes the figure shown below and why? A 4-sided figure with 2 parallel sides, 2 right angles, and 2 no
    9·2 answers
  • What is the quotient of  and ?<br><br><br><br><br><br><br><br><br><br>​
    10·1 answer
  • Which is greater? 0.006 or 0.1
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!