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3 years ago

What is the quotient (3x4 – 4x2 + 8x – 1) ÷ (x – 2)?

1 answer:

8 0

To find the quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2), First: divide 3x^4 by x to get 3x^3, then multiply 3x^3 to x - 2 to get 3x^4 - 6x^3 and subtract 3x^4 - 6x^3 from 3x^4 – 4x^2 + 8x – 1 to get 6x^3 - 4x^2 + 8x - 1 Next: divide 6x^3 by x to get 6x^2, then multiply 6x^2 to x - 2 to get 6x^3 - 12x^2 and subtract 6x^3 - 12x^2 from 6x^3 - 4x^2 + 8x - 1 to get 8x^2 + 8x - 1 Next: divide 8x^2 by x to get 8x, then multiply 8x to x - 2 to get 8x^2 - 16x and subtract 8x^2 - 16x from 8x^2 + 8x - 1 to get 24x - 1 Finally: divide 24x by x to get 24, then multiply 24 to x - 2 to get 24x - 48 and subtract 24x - 48 from 24x - 1 to get 47. Thus, <span>(3x^4 – 4x^2 + 8x – 1) ÷ (x – 2) = 3x^3 + 6x^2 + 8x + 24 Remainder 47</span>

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Somebody please assist me in answering this math question.

Sphinxa [80]

Firstly look at the options carefully and we will get to know that two answer options are incorrect because 2 of them are representing AT MOST SIGN which we don't need. So in that way Options B and D are eliminated.

So Now we are left with 2 options A and C. Lets figure it out.
We know that Carlos has 5 complete set with 4 individual figures and josh has 3 complete sets with 14 individual figures.
So lets write in the numerical language:-
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ATQ,
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3 years ago

Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the

klio [65]

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

If the price of an item is discounted, that mean its new price will be less its initial price

The taxes on item, makes its new price greater than the initial price because tax is add

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y ( $\frac{88}{100}$ )

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = $\frac{106}{100}$ × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

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3 years ago