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4vir4ik [10]
3 years ago
13

Which expression is equivalent to (x4) -5

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

Answer:

 (x2 + y2) • (x + y) • (x - y)

Step-by-step explanation:

Trying to factor as a Difference of Squares :

1.1      Factoring:  x4-y4  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  x4  is the square of  x2  

Check :  y4  is the square of  y2  

Factorization is :       (x2 + y2)  •  (x2 - y2)  

Trying to factor as a Difference of Squares :

1.2      Factoring:  x2 - y2  

Check :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (x + y)  •  (x - y)  

Final result :

 (x2 + y2) • (x + y) • (x - y)

 

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ryzh [129]
If this were to be graphed, the independent variable would be the price of the ticket for the rides. The dependent variable would be the total cost.

The fair admission is not a variable because it is a constant price for every single person who goes into the fair.

The problem asks to use y to represent the total cost and x to represent the number of ride tickets. In order to fully write out the equation, we have to figure out what the fair admission costs.

43.75 = 1.25(25) + b

*b represents the fair admission

Multiply 1.25 by 25

43.75 = 31.25 + b

Subtract 31.25 to find what b costs.

12.50 = b

The fair admission costs $12.50.

Solution: y = 1.25x + 12.50

3 0
3 years ago
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A group of 50 New York psychology students got a mean score of 530 on the psychology GRE with a standard deviation of 80. These
lesantik [10]

Answer: No, New York students are not truly more nerdy than the California students.

Step-by-step explanation:

Since we have given that

Number of students in a group = 50

Mean score of New York psychology = 530

Mean score of California psychology = 515

Standard deviation = 80

So, we will find t-distribution first.

t=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{530-515}{\dfrac{80}{\sqrt{50}}}\\\\t=1.32

Let α = 5% = 0.05

So, t_{\alpha,2}=2.920

Since t < t(critical value)

No, New York students are not truly more nerdy than the California students.

3 0
3 years ago
piper needs to buy 320 new ping-pong balls for the team ping pong balls come in 16 how many sets of ping-pong balls should piper
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Answer:

20 sets

Step-by-step explanation:

320/16=20

He needs 320 ping pong balls, and he has 16, so divide the amount needed by the amount that comes in each containter.

3 0
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Mr. Strand washed 2 - 5 of his laundry. His son washed 1 - 4 of it. Who washed most of the laundry? How much of the laundry stil
fredd [130]

Answer:

His son did.

Step-by-step explanation:

His son: 1/4 = 25%

Mr. Strand: 2/5 = 20%

They also need 55% more to wash or in other words 11/20.

7 0
3 years ago
A May 2000 Gallup poll found that 38% of the people in a random sample of 1,012 adult Americans said that they
Alex777 [14]

Answer:

10.

x P(X)

0 0.238

1 0.438

2 0.269

3 0.055

11.

0.707

There is 70.7% chance that at least one but at most two adults in the sample believes in the ghost

12.

1.14≅1

There will be one adult out of three we expect to believe in the ghost

Step-by-step explanation:

The probability distribution is constructed using binomial distribution.

We have to construct the probability distribution of the number adults believe in ghosts out of three adults. so,

x=0,1,2,3

n=3

p=probability of adults believe in ghosts=0.38

The binomial distribution formula

nCxp^xq^n-x=3cx0.38^x0.62^3-x

is computed for x=0,1,2,3 and the results depicts the probability distribution of the number adults believe in ghosts out of three adults.

x P(X)

0 0.238

1 0.438

2 0.269

3 0.055

11.

P(at least one but at most two adults in the sample believes in the ghost )= P(x=1)+P(x=2)=0.437+0.269=0.707

P(at least one but at most two adults in the sample believes in the ghost )=70.7%

12. E(x)=n*p

here n=3 adults and p=0.38

E(x)=3*0.38=1.14

so we expect one adult out of three will believe in the ghosts.

4 0
3 years ago
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