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Mathematics

1 answer:

pshichka [43]3 years ago

3 0

Answer:

£30

Step-by-step explanation:

Krutika should get £30 of it

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Without actual division prove that x4 +2x3 -2x2 +2x -3 is exactly divisible by<br> x2 +2x-3

Brut [27]

Answer:

Step-by-step explanation:

$\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1$

7 0

3 years ago

A town has accumulated 22 inches of snow, and the snow depth is increasing by 66 inches every hour. A nearby town has accumulat

Aleks [24]

Create an expression. Solve for x

22+66x=66+33x
Subtract 33x from both sides
22+33x=66
Subtract 22 from both sides
33x=44
Divide both sides by 33
x=44/33=4/3 or 1.3 hours

7 0

3 years ago

7. Identify the reason for each step in the solution.

Alik [6]

Answer:

Distribution is used from steps 1-2

They eliminate 2x by subtracting it on both sides (steps 3-4)

They eliminated 6 by subtracting it from both sides (steps 5-6)

(steps 3-6 is eliminating like-terms)

Thus this leaves the answer being x=-3

Step-by-step explanation:

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