2 years ago

Expand and simplify 4(2x+3)+ 4(3x+2)

Mathematics

1 answer:

stepladder [879]2 years ago

6 0

Answer:

20x + 20

Step-by-step explanation:

4(2x+3)+ 4(3x+2)

Expand the brackets.

8x + 12 + 12x + 8

Now simplify.

20x + 20

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<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20-%2014x%20%2B%2024" id="TexFormula1" title="2x^{2} - 14x + 24" alt="2x^{2} - 14

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Answer:

Factorized

$=(2x-8)(x-3)$

Roots : 4 , 3

Step-by-step explanation:

If it is to factorize :

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If it is to solve for x :

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2 years ago

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2 years ago

"Bert has half as much money as Ernie. If Ernie loses $225 and Bert earns $675, Bert will have twice as much money as Ernie. How

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Answer: Ernie has $750 and Bert has $\dfrac{750}{2}=\$375$

Step-by-step explanation:

Let the amount that Ernie has be 'x'.

Let the amount that Bert has be $\dfrac{x}{2}$

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Amount gained by Bert = $675

According to question, we get that

$2(x-225)=\dfrac{x}{2}+675\\\\2x-450=\dfrac{x}{2}+675\\\\2x-\dfrac{x}{2}=675+450\\\\\dfrac{4x-x}{2}=1125\\\\\dfrac{3x}{2}=1125\\\\x=\dfrac{1125\times 2}{3}\\\\x=\$750$

Hence, Ernie has $750 and Bert has $\dfrac{750}{2}=\$375$

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3 years ago