MATHEMATICS
MIDDLE SCHOOL

A = {(–5, 5), (–2, 2), (2, –2), (5, –5)}

B = {(4, 2), (3, –2), (9, 4), (11, –3)} (4 points)

Only A

Only B

Both A and B

Neither A nor B

Answer:

Answer:

Both A and B

Step-by-step explanation:

For functions you are just trying to make sure all the x's are different.

So let's look at A: The x's there are all different so it is a function

Now let's look at B: The x's there are all different so it is a function.

Both A and B

MIDDLE SCHOOL

Factor completely: 81x^4 – 1 A. (9x + 1)(9x – 1)

B. (9x^2 + 1)(9x^2 – 1)

C. (3x^2 + 1)^3(3x – 1)

D. (9x^2 + 1)(3x + 1)(3x – 1)

Using this: a²-b²=(a+b)(a-b)

81x^4-1=

(9x²)²-1=

(9x²-1)(9x²+1)= (in the bold half we use the formula again)

(3x+1)(3x-1)(9x²+1)

So the answer is D

MIDDLE SCHOOL

3is what percent of 8

3 is what percent out of 8

Can also be written as 3/8

To turn a fraction into a percentage, divide the numerator by the denominator and them multiply by 100

3/8 = 0.375

0.375 x 100 = 37.5

37.5%

Can also be written as 3/8

To turn a fraction into a percentage, divide the numerator by the denominator and them multiply by 100

3/8 = 0.375

0.375 x 100 = 37.5

37.5%

3 is what percent of 8?

3/8

Decimal:-

3 ÷ 8 = 0.375

percentage:-

0.375 × 100 = 37.5

37.5%

3 is 37.5% of 8.

3/8

Decimal:-

3 ÷ 8 = 0.375

percentage:-

0.375 × 100 = 37.5

37.5%

3 is 37.5% of 8.

MIDDLE SCHOOL

The product of 6 and a number.

"·" product

n - a number

Answer: 6 · n = 6nit is 6n thats your answer

HIGH SCHOOL

Two numbers add to 251 and the second is 41 bigger then the first. what are the two numbers?

146 dan 105

Further explanationGiven:

Two numbers add to 251 and the second is 41 bigger than the first.

Question:

What are the two numbers?

The Process:

Let the first number we call x, and the second number is y.

Two numbers add to 251, We arrange it as Equation-1:

The second is 41 bigger than the first. We arrange it as Equation-2:

Let us solve the two equations above by eliminating the same variable. With the addition process, it appears that the variable y will be eliminated.

x + y = 251

x - y = 41

-------------- ( + )

2x = 292

Divide by two on both sides.

x = 146

The final step is to determine the variable y with the substitution of the value x into one of the two equations above. We choose Equation-1.

x = 146 → 146 + y = 251

y = 251 - 146

y = 105.

Thus, the two numbers are 146 and 105.

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