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2 years ago

What is the greatest common factor of 4k, 18k4, and 12?

Mathematics

2 answers:

Setler [38]2 years ago

6 0

Answer: The greatest common factor is 2.

Step-by-step explanation: We are given to find the greatest common factor of the following expressions:

$E_1=4k,~~E_2=18k^4,~~E_3=12.$

<u>Greatest Common Factor:</u> The GCF of two or more numbers (expressions) is the greatest factor that divides all the numbers or expressions.

We have

$E_1=4k=2\times 2\times k,\\\\E_2=18k^4=2\times 3\times 3\times k\times k\times k\times k,\\\\E_3=12=2\times 2\times 3.$

Therefore, the greatest common factor will be

$G.C.F.=2.$

Thus, the required greatest common factor is 2.

seraphim [82]2 years ago

4 0

Greatest common factor or GCF is the greatest factor that divides two numbers. So the get the greatest common factor of the 4k 18k and 12 you need to list the prime factors of each number then multiply both numbers have in common. So the greatest common factor of the numbers is 2

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Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99

option b is the correct answer.

5 0

2 years ago

What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8) ? Enter your answers in the boxes

Ahat [919]

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2 years ago

Read 2 more answers

For a particular clothing store, a marketing firm finds that 16% of $10-off coupons delivered by mail are redeemed. Suppose six

stich3 [128]

Answer:

The expected number of coupon is $E(X) = 1.6$

Step-by-step explanation:

From the question we are told that

The probability that a $10 coupons delivered by mail will be redeemed is p = 0.16

The sample size is n = 10

Generally the expected number of coupons that will be redeemed is mathematically represented as

$E(X) = np$

=> $E(X) = 10 * 0.16$

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4 0

2 years ago

Which expressions are equivalent to -6n+(-12)+4n

GaryK [48]

Answer:

-2n - 12

Step-by-step explanation:

Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.

-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12

-2n - 12 is your answer

5 0

2 years ago

A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions o

sergey [27]

Answer:

100 percent increase

Step-by-step explanation:

1st garden

Length = 6 ft

Width = 4 ft

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= 2 (6+4) = 2(10) = 20

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The length and width are 2 times the 1st garden

Length = 2 *6 = 12

Width = 2 *4 = 8

Perimeter = 2 (l+w)

= 2 (12+8) = 2(20) = 40

Percent change = (new - old )/old * 100 percent

The 1st garden is the old garden = 20 and the 2nd garden is the new garden = 40

Substituting in

Percent change = (40-20)/20 = 20/20 =100 *100 percent

= 100 percent increase

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2 years ago