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2 years ago

What is the greatest common factor of 63 45 72 and 36?

1 answer:

8 0

List factors
63-1,3,7,9,21,63

36-1,2,3,6,12,18,36

45-1,3,5,9,15,45

72-1,2,3,4,6,8,9,12,18,24,36,72

Find biggest number in all of them...
The greatest common factor is 3

You might be interested in

If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.

Lelechka [254]

Answer:

$\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }$

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

$f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)$

So we can say that

$a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}$

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

$(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab$

and we can notice that

$a^2+b^2=(a+b)^2-2ab$ so

$(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab$

it comes

$x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}$

multiply by 3

$3x^2-20x+2*16+5=3x^2-20x+37$

4 0

3 years ago

Line RS find the slope

lesantik [10]

Answer:

Step-by-Step explanation:

7 0

3 years ago

The function f(x) = 40sin(0.1x + 12) + 50 represents the number of items, f(x), made in a factory each day for x days. The data

Sladkaya [172]

Answer:

its 11 and 31

Step-by-step explanation:

got it right on test

7 0

3 years ago

Read 2 more answers

What is the value of (x^3 − 7x^2 − 18x + 42) when x = 3?

Eva8 [605]

Answer:

-150

Step-by-step explanation:

x^2 - 7x^2 - 18x +42

3^2 - 7(3)^2 - 18(3) + 42

9 - 63 - 54 + 42

-54 -54 + 42

-108 + 42

-150

8 0

2 years ago

How many 135-inch-thick books can fit on a 1412-inch-long bookshelf?

swat32

9x135 = 1,215
10x135 = 1,350
11x135 = 1,485

Therefore, your answer would be 10.

4 0

1 year ago