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Molodets [167]
3 years ago
6

Subtract 2x/ x^2 -9 - 5/ x^2 - x - 12

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

Let's do an example first and then summerize what are the techniques to complete the square for quadratic equation in order to solve for x. -2x^2 + 5x + 12 = 0 -2x^2 + 5x =  -12 -2 (x^2 - 5/2 x) = -12 so 2ab = 5/2 x  ("2ab" refers to the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 ) Since a=1 (because x^2 is the a^2 in the formula), we get 2*1*b = 2b = 5/2 x, so b = 5/4 That means to complete the square we will add "b^2" (which is (5/4)^2 here) and then subtract (5/4)^2 in the parenthesis: -2 [ x^2 - 5/2 x + (5/4)^2 - (5/4)^2 ] =  -12 Now that is same as  -2 (x - 5/4 )^2 + (-2) * (-5/4)^2 = -12 To simplify it we follow these steps: -2 (x - 5/4 )^2 + 2 * 25/16  = -12 -2 (x - 5/4 )^2 + 25/8  = -12 Multiply both sides of the equation by 8 we get this: -16 (x-5/4)^2 +25 = -96 then -16 (x-5/4)^2  = -121   Techniques summerization: To complete the square for quadratic equation in order to solve for x, first we need to move the terms without x (which is "c" in the "ax^2+bx+c=0" form) to the right side of the equation. Then we divide both sides of the equation by "a" in the "ax^2+bx+c=0" equation. Through the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 we will then figure out the value of "b", so then we know what is the b^2 we need to add then subtract. Finally just simplify the equation. Hope this helps.

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
A container holds 50 electronic components, of which 10 are defective.
Gala2k [10]

Answer:

There is some inforrmation that is missing in this question. It should read:

A container holds 50 electronic components, of which 10 are defective. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is . If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is .

Answers

Part 1.   0.02

Part 2.  0.0375

Explanation

The probability is a chance of an event happening. It is calculated as;

probability = (Number of favourable outcome)/(Number of available outcome)

Part 1

6 are chosen at random. If 4 are not defective, then 2 are defective.

P(at least 4 are not defective) = 4/40 × 2/10

                                               = 1/10 ×1/5

                                               = 1/50

                                                = 0.02

Part 2

8 are chosen at random. If 3 are defective, the 5 are not defective.  

P(3 are defective) = 3/40 × 5/10  

                            = 15/400

                            = 3/80

                           = 0.0375

Step-by-step explanation:

4 0
3 years ago
HELP ASAP PLEASE!!!! 1. Create a unique equation using the graphic above with the solution (answer) of 36. There are many possib
gtnhenbr [62]

Answer:

just using normal x and y coordinates

4x + 2y = 36

where x = 5

that is 4×5 = 20

where y = 8

that is 2×8 = 16.

5 0
3 years ago
Image attached please help me out I will give you brainliest
lara [203]

Answer:

a) green: 0.3

yellow: 0.1

b) 12

Step-by-step explanation:

Unfortunately, I cant write on the table. But, I CAN help you with this question.

Since all probabilities have to add up to one, we can for an equation like this

(where y is yellow)

0.35+0.25+3y+y=1

This simplified is

0.6+4y=1

4y=0.4

So, we now know that green is 0.3, and yellow is 0.1.

For b, we set 0.35x to 14. Dividing gives us:

14/0.35=1400/35=40.

Multiply 0.3 by 40, and you get 12.

Hope this helped!

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3 years ago
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