3 years ago

A salesman earned commission of £2 520 for January. His rate of

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

6 0

Answer:

I'm sorry but I don't know English so I can't help you

Step-by-step explanation:

how do i tell you i don't know english so i can't help you friendy and well, I don't know why it won't let me upload my answer xd

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Round 13 to the nearest 10.

mr Goodwill [35]

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Find the total cost of a $43 dinner if you leave 18% gratuity (tip).

AleksandrR [38]

50.74
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3 years ago

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

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

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3 years ago

True or False

BigorU [14]

Answer:

1. false

2. true

3. true

4. true

5. true

6. false

Step-by-step explanation:

sub to tapl :L

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