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3 years ago

6

Simplify the following expression: (3x2 + 3x + 7) − (11x2 − 6x + 3). If the final answer is written in the form Ax2 + Bx + C, wh

at is the value of B?

1 answer:

Sidana [21]3 years ago

8 0

Answer:

B = 9

Step-by-step explanation:

First, you need to simplify the expression,

$3x^{2}+3x+7-11x^{2} +6x-3$

$= (3-11)x^{2} +(3+6)x+7-3$

$=-8x^{2} +9x+4$ = $Ax^{2} + Bx + C$

So, A = -8 , B = 9 , C = 4

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A 75% increase followed by a 33 1/2% decrease

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After 75% increase followed by a 33 1/2% decrease the net increased is 16.375%.

<u>Solution:</u>

Need to determine net percentage increase or decrease when a value is increased by 75% and then decreased by $33 \frac{1}{2} \%$ that is 33.5%.

Let’s assume initial value be represented by variable x.

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$\begin{array}{l}{33.5 \% \text { decrease means } 1.75 x-33.5 \% \text { of } 1.75 x=1.75 x-\frac{33.5}{100} \times 1.75 x} \\\\ {=1.75 x-(0.335 \times 1.75) x=1.75 x-0.58625 x} \\\\ {=1.16375 x}\end{array}$

$\text { So increase in percentage }=\frac{\text { final value-initial value}}{\text { intial value }}$

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