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victus00 [196]
3 years ago
15

Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 7x − 1). If the final answer is written in the form Ax2 + Bx + C, wha

t is the value of B (the coefficient in front of x)?
Write only the numeric value (no variables should be typed in your response).
Mathematics
2 answers:
Andrews [41]3 years ago
8 0

Answer:

 

3x + 2x2 + 4 = 5

3x + 2x2 + 4 – 5 = 5 – 5

First be sure that the right side of the equation is 0. In this case, all you need to do is subtract 5 from both sides.

 

3x + 2x2 – 1 = 0

2x2 + 3x – 1 = 0

Simplify, and write the terms with the exponent on the variable in descending order.

 

2x2

+

3x

–

1

=

0

↓

 

↓

 

↓

 

 

ax2

 

bx

 

c

 

 

 

a = 2, b = 3, c = −1

 

Now that the equation is in standard form, you can read the values of a, b, and c from the coefficients and constant. Note that since the constant 1 is subtracted, c must be negative.

Answer

2x2 + 3x – 1 = 0; a = 2, b = 3, c = −1

Step-by-step explanation:

Mila [183]3 years ago
6 0

Answer:

;...

Step-by-step explanation:

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Jeff gave 1/4 of a sum of money to his wife. Then he divided the remainder equally among his 4 children.
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Answer:

A) The fraction of sum of money did each child receive is \frac{3 x}{16}

B) The sum of money did Jeff have $ 3200

Step-by-step explanation:

Given as :

Let The sum of money did Jeff have = $ x

The fraction of money did Jeff's wife get = \frac{1}{4} of $ x

The remaining money Jeff will have = $ x - \frac{1}{4} of $ x

I.e The remaining money Jeff will have = \frac{4 x - x}{4}

                                                                = \frac{3 x}{4}

A ) The remaining amount of money is divided equally among 4 children

So, The fraction of sum of money did each child receive = \frac{\frac{3 x}{4}}{4}

I.e The fraction of sum of money did each child receive =  \frac{3 x}{16}

B ) If each child will receive $ 600

∴,  \frac{3 x}{16} = $ 600

Or, 3 x = $ 600 × 16

Or, 3 x = $ 9600

∴    x = \frac{9600}{3}

I.e  x = $ 3200

So, The sum of money did Jeff have $ 3200  

Hence ,

A) The fraction of sum of money did each child receive is \frac{3 x}{16}

B) The sum of money did Jeff have $ 3200   Answer

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