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son4ous [18]
3 years ago
9

Express 2x^2+8x+3 in the form 2(x+p)^2+q

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

2(x + 2)² - 5

Step-by-step explanation:

Given

2x² + 8x + 3

To obtain the required form use the method of completing the square.

The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x

= 2(x² + 4x) + 3

add/subtract ( half the coefficient of the x- term)² to x² + 4x

= 2(x² + 2(2)x + 4 - 4) + 3

= 2(x + 2)² - 8 + 3

= 2(x + 2)² - 5

with p = 2 and q = - 5

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High School Mathematics 5+3 pts
quester [9]
What is the question?
6 0
3 years ago
A rectangular lawn 70m by 50m has two cross roads each 6m wide running in the
ser-zykov [4K]
Area of road =70*50=3500
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6 0
2 years ago
8.35x - 1.5 = 71.98<br> (a) 8.6<br> (b) 8.8<br> (c) 9<br> (d) 10.3
prisoha [69]
<h3>  Hola! :D ¡te invito a recibir ayuda de un latinoamericano puto!</h3><h2><u> _____________________________________ </u></h2><h2>                        8.35x - 1.5 = 71.98</h2><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

                           <u>El -1,5 qlero pasaría al otro lado positivo</u>

<h3>                                     8.35x = 71.98 + 1.5</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

                              <u>Ahora, se suma 71.98 + 1.5 = 73,48</u>

<h3>                                         8.35x = 73,48</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

    <u>El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo</u>

<h3>                                       x = 73,48 ÷ 8.35</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

                                                    <u>Dividimos</u>

<h3>                                               x = 8,8</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2><h2>                 <u>(b) 8,8</u>  es la opción correcta</h2>
3 0
2 years ago
Please help this is due in 3 hours!! #17
Westkost [7]

Answer:

multiply 31.4x7.9 then add 9.5 to the answer to multiplication prob. Then add your answer in the first sentence. Then multiply 4.6 x 2 . I think that right,good luck : ) luck.

4 0
3 years ago
A home improvement store normally sells 20-foot extension ladders for $225. This week the ladders are discounted by 20%. What is
Fantom [35]

Answer:

The answer is 180

Step-by-step explanation:

So to start off you have to turn 20% into a decimal and that is .20.

Next  you need to mutiply 225 and .20 and you will get 45 (that means it is $45 off)

Subtract 45 fro 225 and that is your answer.

You now pay $180 for the 20 foot extension ladder.

5 0
3 years ago
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