MATHEMATICS MIDDLE SCHOOL

Help!What is the greatest common factor of 42, 60 and 78?
OA) 2
OB) 6
OC) 12
OD 24

Answers

Answer 1

Answer:

Answer:

The greatest common factor of 42, 60 and 78 is 6.

Step-by-step explanation:

The given numbers are : 42, 60 and 78

On Prime Factorization of the given terms, we get:

42 = 2 x 3 x 7

60 = 2 x 2 x 3 x 5

78 = 2 x 3 x 13

The common factors to all these three terms is 2 x 3 = 6

Hence, the greatest common factor of 42, 60 and 78 is 6.

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Help asap pleeeas!Given the polynomial 8x3 + 6x2 − 32x − 24, what is the value of the constant 'k' in the factored form?

8x3 + 6x2 − 32x − 24 = 2(x + k)(x − k)(4x + 3)

a. 4
b.3
c. 2
d. 1

Answers

The value of the constant 'k' in the factored form is 2.

The correct answer is an option (C)

What is polynomial?

"It is a mathematical expression that contains two or more algebraic terms that are added, subtracted, or multiplied."

What is factorization of polynomials?

"It means decomposing the given polynomial into a product of two or more polynomials "

For given question,

We have been given the factored form of polynomial.

$8x^3 + 6x^2 - 32x - 24 = 2(x + k)(x - k)(4x + 3)$

We can write the given polynomial as,

$8x^3 + 6x^2 - 32x - 24 \n\n=2(4x^3+3x^2-16x-12)\n\n=2(x^2-4)(4x+3)\n\n=2(x^2-2^2)(4x+3)\n\n=2(x+2)(x-2)(4x+3)$

This means, the value of k is 2.

Therefore, the value of the constant 'k' in the factored form is 2.

The correct answer is an option (C)

Learn more about the factorization of polynomial here:

brainly.com/question/26354419

#SPJ2

The answer to this question is C.2 I think

~PRE AP ALGEBRA!~- Simplify each expression:

1. 5 (8) (10)
2. 1/2 (6) (12)
3. 1/3 (3) (12)
4. 1/2 ( $8^(2)$ ) (4)
5. 1/4 ( $10^(2)$ ) (15)
6. 1/3 ( $9^(2)$ ) (6)

Answers

1. 5 (8) (10) = 5 (80) = 400

2. 1/2 (6) (12) = (3) (12) = 36

3. 1/3 (3) (12) = (1) (12) = 12

4. 1/2 (8²) (4) = (8²) (2) = (64) (2) = 128

5. 1/4 (10²) (15) = 1/4 (100) (15) = (25) (15) = 375

6. 1/3 (9²) (6) = (9²) (2) = (81) (2) = 162

How many centi are in 12 in

Answers

30.48 centimeters in 12 inches

30.48 centimenters are in 12 inches.

303 is what percent of 600?explain

Answers

303 is x% of 600

In math...
"is" means =
"of" means ×

303 = x% × 600
303 = 600x
303/600 = x
.505 = x

multiply by 100 to convert to percent (move decimal to the right 2 places).

.505 × 100 = 50.5%

303 is 50.5% of 600

If you are asked this is what fraction of this, simply take it as fraction and multiply by 100.

Like this »

303
––– × 100 = 50.5 %
600

You are swimming each 25 yard length of a swimming pool 3 seconds faster than your personal best. What integer represents your change in time of your personal best after 200 yards?

Answers

Answer: He takes 24 seconds which represents change in time of his personal best after 200 yards .

Step-by-step explanation:

Since we have given that

Distance he covered by swimming = 25 yards

Time taken by him = 3 seconds

$\text{Speed of his swimming} =(Distance)/(Time)\n\n \text{Speed of his swimming} =(25)/(3)$

Now, if he covers 200 yards , the change of time will be

$\text{Time taken}=(Distance)/(Speed)\n\n\text{Time taken}=(200)/((25)/(3))\n\n\text{Time taken}=(200* 3)/(25)\n\n\text{Time taken}=8* 3\n\n\text{Time taken}=24 seconds$