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3 years ago

Show that if n is an integer and n^3 + 5 is odd then n is even

1 answer:

3 0

If n is odd then its cube is also odd because odd times odd is odd. When we add 5, an odd number, we get an even number.
If n is even, its cube is also even so adding an odd number makes the sum odd. So if the expression is odd, n must be even.

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Is the following relation a function?<br> X. Y<br> -1. -2.<br> 2. 3<br> 3. 1<br> 6. -2

SSSSS [86.1K]

Answer:

Step-by-step explanation:

x y

−1 −2

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5 0

2 years ago

Read 2 more answers

Can someone help me find the midpoint?

ioda

Answer:

(6,-2.5)

Step-by-step explanation:

The formula for the midpoint between two points is:

$(\frac{x_{1} + x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Now we substitute

We have than (9, -1) is $(x_{1}, y_{1})$ and (3, - 4) is $(x_{2}, y_{2})$

So:

$(\frac{(9) + (3)}{2},\frac{(-1)+(-4)}{2})\\\\(-1) + (-4) = -5\\9 + 3 = 12\\$

So, we have:

$(\frac{12}{2}, \frac{-5}{2})\\\\12 / 2 = 6\\-5 / 2 = -2.5\\\\(6, -2.5)$

I can do a graphic explanation if you want.

6 0

3 years ago

Drag the correct factors to the expression. Not all factors will be used. Use synthetic division to find all the factors of this

fiasKO [112]

The factors are therefore; (4x – 3), (x + 3) and (x – 1)

<h3>What is a polynomial?</h3>

A polynomial is is a function that contains an algebraic term which is raised to a particular power.

If it is raised to power 1 it is linear
If it is raised to power 2 it is quadratic
If its is raised to power 3 it is cubic
If it i raised to power 3 it is quartic

Now we have;

4x³ + 5x² – 18x + 9

Thus we can write;

4x³ – 3x² + 8x² – 6x – 12x + 9

Using the factors;

x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)

Therefore;

(4x – 3)(x² + 2x– 3)

(4x – 3)(x² + 3x – x – 3)

(4x – 3)(x + 3)(x – 1)

The factors are therefore; (4x – 3), (x + 3) and (x – 1)

Learn more about polynomials:brainly.com/question/21334281

#SPJ1

3 0

1 year ago

What is (a + b)cubed when a = 7 and b = -4?<br><br> Plz help!

butalik [34]

The answer is 3 because all you have to do is plug in the answer and then you have to solve the answer and go from there.

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3 years ago

Average rate of change from x= 1 and x=2

iragen [17]

Answer:

What are the y values you can not find the average rate of change without the y values.

Step-by-step explanation:

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3 years ago