whole numbers- natural numbers and zero

integers- whole numbers and negative numbers

ratioal numbers, number that can be written in form a/b where b≠0

irrational numbers- rational numbers and numbers that can’t be written in form a/b, example is pi

real numbers is all of the above

complex numbers is none of the above, like √-1

so

-20 is an integer, a ratioal number, a real number

## Related Questions

Prove that A is in the subset B if P(A) is in the subset P(B)

I will assume p() means power set.

proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.

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*D(x) is a function.*

**TRUE.**It is a function of x.

*x is the dependent variable.*

**FALSE**. x is the independent variable because the function is expressed in terms of the independent variable.

*D(6) = 3*.

**FALSE**. D(6) = 2(6) = 12. D(6) should be equal to 12.

*D(x) is a direct variation.*

**TRUE.**This holds true to the definition of direct variation where one variable is related to the other variable at the same constant multple. In this case, it is 2.

*D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).*

**TRUE.**If you replace x with the first coordinate, the function would be equal to the corresponding second coordinate.

For point with coordiantes (x,y), the abscissa is the x-coordinate and the ordinate is the y-coordinate. So, all you have to do is match the given x values with the second term inside the parenthesis. Also, the x values must also be the same as given. From the choices, the answer is {(-3, -3), (0, 0), (12, 12)}

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**Answer:**

The correct option is 3.

**Step-by-step explanation:**

The given inequality is

To solve the inequality, we have to isolate the variable x.

Divide both sides by 3 to solve the given inequality.

The value of x is less than 1. So, the solution set of the given inequality is

{x | x < 1}

**Therefore the correct option is 3.**

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So the measure that would change most is the mean. The new mean would be -5.82. While the new median would just move to the next data point which is 101.

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ordered data: {4, 6, 8, 10, 11, 12, 18, 20}

minimum = 4

maximum = 20

median = (10 + 11) / 2 = 10.5

first quartile is median of: {4, 6, 8, 10} or 7

third quartile is median of: {11, 12, 18, 20} or 15

now perform the same steps on the second set of data values

{60, 50, 130, 200, 180, 150, 100, 140}

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**Answer:**

federal tax which has to be paid by the spouse is equal to **$1,080,000**

**Step-by-step explanation:**

estate worth of Joel and Rachel = $2.4 million

= $2,400,000

estate is taxed at = 45 %

the amount of tax which spouse have to pay is

=

= $1,080,000

hence the federal tax which has to be paid by the spouse is equal to **$1,080,000**

a. (10,480) => x = 10, y = 480

y = 480 = 22(10) + 32

480 = 252 (does not apply)

b. (5,142) => x = 5, y = 142

y = 142= 22(5) + 32

142 = 142 (apply)

c. (8,208) => x = 8, y = 208

y = 208 = 22(8) + 32

208 = 208 (apply)

d. (7,154) => x = 7, y = 154

y = 154 = 22(7) + 32

154 = 186 (does not apply)

The answer is B and C.

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Factor the equation 4x^2-20x=1

It seems that you have mistakenly typed the wrong equation which is supposed to be 4x^2 – 20x = 0.

So given the correct equation, the factor for this one would be this:

4x(x-5) = 0

So let us check.

4x (x) = 4x^2

4x (-5) = -20x

Which makes it 4x^2-20x = 0

I hope this answer helps.

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