Subtract these polynomials.

Mathematics

2 answers:

Mandarinka [93]3 years ago

8 0

<span>2x^2 + 4x + 3 – 4x^2 +2x +3 = -2x² +6x +6
Answer D</span>

AveGali [126]3 years ago

4 0

Answer: The correct option is

(D) $-2x^2+6x+6.$

Step-by-step explanation: We are given to subtract the following polynomials :

$P=(2x^2+4x+3)-(4x^2-2x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To subtract the given polynomials, we need to subtract the coefficients of the terms with same powers of the unknown variable x.

From (i), we get

$P\\\\=(2x^2+4x+3)-(4x^2-2x-3)\\\\=2x^2+4x+3-4x^2+2x+3\\\\=(2-4)x^2+(4+2)x+(3+3)\\\\=-2x^2+6x+6.$

Thus, the required resulting polynomial is $-2x^2+6x+6.$

Option (D) is CORRECT.

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What is the pattern (these are not ratios) 11 to 25, 27 to 41, 43 to 57, 59 to 73, __ __ __ __ __ __ __ __

Nuetrik [128]

Answer:

75, 89, 91, 105, 107, 121, 123, 137

Step-by-step explanation:

If you analyze how much each number is increased, you will notice it alternates between adding 2, then adding 14:

11 + 14 = 25.

25 + 2 = 27.

27 + 14 = 41.

41 + 2 = 43.

43 + 14 = 57.

57 + 2 = 59.

59 + 14 = 73.

That means you can simply, finish the pattern, alternating between adding 2 and 14. Then you will get these answers.

5 0

3 years ago

Read 2 more answers

Problem in the attachment

TEA [102]

You can solve this by multiplying each numerator by the answer choices and trying to divide them. I can't get the fraction maker to work at the moment, so I'll write the calculations on a separate attachment.

As you can see, the only choice that works to eliminate both fractions is the fourth choice, 50x.