Which of the following are roots of the polynomial function? check all that apply F(x)=x^3-x^2-5x-3

If the difference of two numbers is even then so is their sum.

Nutka1998 [239]

Answer and explanation:

Statement - If the difference of two numbers is even then so is their sum.

Let the two even numbers be '2m' and '2n' with m and n are integers.

The difference of two number is

$2m-2n=2(m-n)$

Now, The sum of the numbers is

$2m+2n=2(m+n)$

Let $m+n=k$ where k is an integer

Then, $2m+2n=2k$ which is also an even number as 2 is multiplied with it.

So, If the difference of two numbers is even then so is their sum.

For example -

Let two even number 2 and 4.

The difference is $4-2=2$ , 2 is even.

The sum is $4+2=6$ , 6 is even.

4 0

3 years ago

a beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your

erastova [34]

Answer:

A beach ball is a sphere, so we will need to know how to find the volume of a

sphere. V = 4Pi * (r ^ 3 / 3)

We have the diameter, but not the radius. To find the radius, it is half of the

diameter.

10÷2=5 Now let's plug it in.

4T(5³/3) Let's solve.

4pi = 12.56

5³= 125

125÷3= 41.67 (repeating 6) 41.67x12.56=523.3752

523.33 cubic inches is the volume of

air contained inside the beach ball. The reason I picked that answer is because a repeating 6. So we should expect for

we rounded up to 41.67, when there was

the answer to be a couple decimals lower

from the answer we got. Tell me if this helps!!

5 0

2 years ago

HELP!!! THIS IS DUE TODAY! I WILL MARK BRAINLIEST

balandron [24]

Answer:

With replacement

$probability \ of \ spade = \frac{13}{52} = \frac{1}{4} \\\\ probability \ of red\ card = \frac{26}{52} =\frac{1}{2}$

$probability \ of \ spade \ then \ red\ card\ without\ replacement =$ $\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}$

Without replacement

$probability \ of\ spade = \frac{13}{52} = \frac{1}{4} \\\\probability \ of \ spade\ again =\frac{12}{51} = \frac{4}{17}$

$probability \ of \ spade \ then \ red\ card\ without\ replacement = \frac{1}{4} \times\frac{4}{17} =\frac{1}{17}$

7 0

2 years ago

What is the relationship between the variables in the equation x = -3 / y

lutik1710 [3]

Answer:

10.1: Linear Relationships Between Variables - Statistics ...stats.libretexts.org

3 0

3 years ago

Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h

zmey [24]

Answer:

3 pencils

Step-by-step explanation:

We are given Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.

Number of pencils=72

Number of calculators=24

If Zayed creates the greatest number of identical packages

Then , we find GCF of 72 and 24

$72=2\times 2\times 2\times 3\times 3$

$24=2\times 2\times 2\times 3$

GCF= $2\times 2\times 2\times 3$

Hence, Zayed creates 24 packages.

Number of pencils in each package= $\frac{72}{24}=3$

Hence, 3 pencils and one calculator will be in each package .

4 0

3 years ago

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