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3 years ago

Is f(x) = x^3 - x even, odd, or neither. Explain your answer.

Mathematics

2 answers:

yulyashka [42]3 years ago

3 0

Odd function : f(-x) = -f(x)
Even function : f(-x) = f(x)

f(-x) = (-x)^3 = -x^3 = -f(x) thus it’s an odd function

Taya2010 [7]3 years ago

3 0

Answer:

odd

Step-by-step explanation:

a function is even when f(-x) =f(x) and a function is odd

when f(-x)= -f(x)

so let's substitute -x into our function

f(-x)= (-x)^3 -(-x)

= -x^3 +1

so, f(-X)= -f(x)

therefore our function is odd

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84 divided into sevenths added to 9 divided into thirds

mina [271]

(84÷7)+(9÷3) The parentheses are not necessary but I just put them.
I think that's what you meant. If you meant the other thing this would be the equation: (84÷7+9)÷3. Here the parentheses are nessasary

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3 years ago

Read 2 more answers

This list shows the age at which 43 U.S. Presidents began their terms.

Artist 52 [7]

The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

The best way to decide the appropriate interval would be to find the range of the numbers.

We have given a data set,

<h3>What is the smallest value in the data?</h3>

The minimum is the smallest value in the data set. The maximum is the largest value in the data set.

<h3>What is the largest minus the smallest? </h3>

This would be 69-42=27.

If you need six intervals you would need to round 27 up to 30 to be able to divide it out evenly and include all of the data.

The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

This way you are one over and one under the highest and lowest values.

Therefore, The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

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2 years ago

If x= 19 feet and y = 12 feet, what is the area and perimeter of the figure above?

Delicious77 [7]

All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then add them!

____________________________

First, let's do the rectangle!

Area of a rectangle = length x width

or in this case... Area = "x" times "y"

Area = 19 × 12 = 228 square feet!

________________________________

Now, let's do the circle!

Area of a circle = πr² ... (r = radius)

* In this diagram, the diameter of the circle is also the same length as "y"!

* And remember that radius is half of the diameter.

radius = 6

Now, let's actually calculate the area

Area = π(6)² ⇒ 36π

Area = 113.1 (I rounded up the decimals!)

_______________________________________

*But wait! Look at the figure! It looks like HALF of the circle's area was included when we calculated the area of the rectangle! This means that we should divide the area of the circle (that we just calculated) in half!

Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5

Now let's add the area of the rectangle to the area of the half-circle to find the area of THE ENTIRE FIGURE!

228 + 56.5 = 284.5

284.5 square feet is our answer!

6 0

3 years ago

The Bluejay Apartments is a new development and is in the process of structuring its lease agreements. The company would like to

Zepler [3.9K]

Answer:

The Bluejay Apartments

1. Tax Effects of the following Alternatives:

i. $1,000 damage deposit with no rent prepayment

No tax will be paid by The Bluejay Apartments until the deposit will no longer be refunded.

ii. $500 damage deposit and $500 rent for the final month of the lease

Tax will be paid on the rental income of $500 and on the $500 if it will no longer be refunded. If it is taken as part of the rent income for a month, then tax will be paid on a total income of $1,000.

iii. $1,000 rent for the final two months of the lease and no damage deposit

Tax will be paid on the rent income of $1,000.

b) From a tax point of view, option i is recommended.

Step-by-step explanation:

According to the IRS, a security or damage deposit is not taxable when it is received by the landlord. It becomes taxable income when the landlord is no longer obligated to return it to the tenant. The reason a damage deposit is not taxed is that it is recorded as an asset and not an expense or income.

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4 years ago

Given m||n , find the value of . (x+27)^ (2x-7)^

KATRIN_1 [288]

Answer:

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Step-by-step explanation:

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3 years ago