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3 years ago

Problem 6? Helpppp pleaseeeee

Mathematics

2 answers:

Inessa05 [86]3 years ago

8 0

First, let's define 'Greatest Common Factor'

The Greatest Common Factor also known as GCF is the largest number that can divide equally into two or more numbers.

For the problem they ask 'Which number pair has a 'GCF' of 6.

First let's look at the answer choice 'A' that gives us 18 and 54.

Now for this we need to list the factors of both 18 and 54. A factor being a number that can be multiplied by another number to get the sum.

18: 1, 2, 3, 6, 9, 18

54: 1, 2, 3, 6, 9, 18, 27, 54

So right away we can see the the largest number that can be divided into both of them equally is not 6, it is 18. This means we can mark out A as a possible answer.

Next let's try B and list the factors of both 30 and 42.

30: 1, 2, 3, 5, 6, 15, 30

42: 1, 2, 3, 6, 7, 14, 21, 42

Looks like we found our answer! The largest factor they have in common is 6!

I'm still going to go ahead and list the GCF's for answers C and D.

C. 30, 60

30: 1, 2, 3, 5, 6, 15, 30

60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

GCF for answer choice C = 30

D. 36, 60

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Final answer: B. 30, 42

Pachacha [2.7K]3 years ago

7 0

D.36 60 .... because 6 times 6 is 36 and 6 times 10 is 60

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Many calculators have a key that will do this in one step. Mine is one of them. So let's start with the answer and then we'll do it the long way.

9C3 = 84. You put it into your calculator as 9 2nF nCr 3 =

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3 years ago

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3 years ago

Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2

valentina_108 [34]

Answer:

Solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

Step-by-step explanation:

We need to solve the equation $x^2+6x-8=0$ by completing the square method.

For completing the square method: we need to follow: $a^2+2ab+b^2=(a+b)^2$

We are given:

$x^2+6x-8=0$

Solving by completing the square

$x^2+2(x)(?)+(?)^2-8=0$

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

$x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17$

So, solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

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3 years ago

What is the greatest common factor of 32 and 48

Bond [772]

Turn each number into the product of it's prime factors.

32=16x2=2x2x2x2x2=2^5

48=24*2=6x4x2=2x3x2x2x2

Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:

2^4=2x2x2x2=16

The Greatest Common Factor (GCF) of 32 and 48 is 16.

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