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Ludmilka [50]
4 years ago
10

What is the factored form of the following expression x^2 - 10 xy + 24y^2

Mathematics
1 answer:
Aleks [24]4 years ago
6 0
X²-10xy+24y²=(x-6y)(x-4y)
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
A shop sells DVDs and CDs.
Vsevolod [243]

Answer:

Step-by-step explanation:

Lets Price of a DVD is fixed i.e. 15

and One CD price is 5 (Not fixed)

In First situation

2 DVDs and 1 CD cost = 35 as given

2 x 15 + 5 = 35

Lets one CD price is 7.5

In Second situation

2 x 15 + 2 x 7.5 = 45

Its mean CD price may be between 5 to 7.5

In asked scenario, Martin has 50

1 DVD and 3 CDs?

1 x 15 + 3 x 7.5 = 37.5

37.5 is lesser than 50

Hence Martin has enough to buy 1 DVD and 3 CDs.

3 0
3 years ago
Choose the correct simplification of the expression (b^5)4
tangare [24]

Answer:

b^20

Step-by-step explanation:

when the exponents have one inside and the other outside, they are multiplied.  

8 0
3 years ago
What is the area of the figure in square feet?
strojnjashka [21]

Answer:

42/100. Simplified would be 21/50]

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help with all, I’ll mark brainliest as long as you tell me how you got that answer.
Mumz [18]

Answer:

function= 2nd,6th

not a function=1st,3rd,4th,5th

Step-by-step explanation:

because in graphing a function, there should only be one y for the x. 2 or more y's in one x is considered as not a function

7 0
3 years ago
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