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3 years ago

How to factorise? I need to factorise 4a^2 - 12b please show method

1 answer:

7 0

4a² - 12b = 4 (a² - 3b)
so you just pull out the common factor between the two term 4
then you divide each term by the common factor to find what remain
4a²/4 = a²
-12b/4= -3b
so now you put the four as the multiplier outside of the bracket and then put back the remainders: 4 ( a² - 3b)

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Step-by-step explanation:

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2 years ago

Let u and v be the solutions to 3x^2 + 5x + 7 = 0. Find u/v+v/u

Hitman42 [59]

Answer: $\dfrac{-17}{21}$

Step-by-step explanation:

Given: u and v be are the solutions of $3x^2+5x+7=0$

Let $ax^2+bx+c=0$ is the quadratic equation and u and v are the zeroes/solutions then

Sum of zeroes; $u+v = \dfrac{-b}{a}$

Product of zeroes; $uv= \dfrac{c}{a}$

Comparing $3x^2+5x+7=0$ to $ax^2+bx+c=0$

we get a= 3 , b= 5 and c = 7

$u+v = \dfrac{-b}{a} = \dfrac{-5}{3}----(i)$

$uv= \dfrac{c}{a} = \dfrac{7}{3}----(ii)$

Now we have to find

$\dfrac{u}{v} +\dfrac{v}{u} =\dfrac{u^2+v^2}{uv}$ adding and subtracting 2uv in numerator we get

$= \dfrac{u^2+v^2+2uv-2uv}{uv}= \dfrac{(u+v)^2-2uv}{uv}$

Substituting the values from (i) and (ii) we get

$\dfrac{(\dfrac{-5}{3} )^2-2\times \dfrac{7}{3} }{\dfrac{7}{3} } = \dfrac{\dfrac{25}{9} -\dfrac{14}{3} }{\dfrac{7}{3} }= \dfrac{\dfrac{25-42}{9} }{\dfrac{7}{3}} =\dfrac{-17}{9} \times \dfrac{3}{7} = \dfrac{-17}{21}$

Hence, the value of $\dfrac{u}{v} +\dfrac{v}{u}$ is $\dfrac{-17}{21}$

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3 years ago

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alex41 [277]

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3 years ago

Read 2 more answers

Adam is going to cook a turkey for 14 people and wants to allow ¾ lb of turkey for each person.

Kobotan [32]

Missing info:
Turkey Sizes:
small - 2kg - 3.9kg 
medium - 4kg - 5.4kg 
large - 5.5kg - 7.2kg 
extra large - 7.3kg - 9.2kg 

Turkey Prices: 
Small / Medium - £5.99 per kg 
Large / Extra Large - £4.99 per kg

3/4 lb x 14 persons = (3*14)/4 = 42/4 = 10.5 lbs

1 lb = 450 grams

10.5 lbs * 450grams/lb = 4,725 grams

1 kg = 1000 grams

4,725 grams * 1kg/1000 grams = 4725 kg / 1000 = 4.725 kg.

4.725 kg is under the Medium size of the Turkey.

Medium sized turkey costs £5.99 per kg.

4.725 kg * £5.99 per kg = £28.30

A turkey would cost £28.30 for 14 people.

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3 years ago

Please help :( Im desperate

ki77a [65]

Answer:

(2,4)

Step-by-step explanation:

When graphed the lines intersect at point (2,4) which is the solution.

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2 years ago