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Inga [223]
3 years ago
15

A pair of equations is shown below:

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0
Sorry I don't what the answer would be for A. But B would be (3,13)
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Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin
Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}

Multiply both the sides by x.

\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}

Again multiply both the sides by x

2x^{2} -2x-12 = 5x^{2} +18x

\implies 5x^{2} -2x^{2} +18x +2x +12 = 0

\implies 3x^{2} + 18x+2x + 12 = 0

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

#SPJ4

7 0
1 year ago
An insurance company sells a one-year term life insurance policy to an 80-year-old woman. The woman pays a premium of $1000. If
Gekata [30.6K]

Answer:

The profit of the company will be $224.85

Step-by-step explanation:

Let the equation of profit be termed as E(x)

we are given

amount of purchasing the policy (let a)= $1000

probability that women will live for at least 1  year (let b) = 0.9581

amount lost by insurance company if the women dies (let c) = 18,500-1000 = 17,500

the probability woman dies within one year (let d) = 1-0.9581=0.0419

the equation will be

E(x) of profit= a*b - c*d = 1000*0.9581 - 17500*0.0419

                    = 958.1 - 733.25

                    =  224.85

7 0
2 years ago
F is an even function <br> What does a equal?
harina [27]

The function is even, so f(x)=f(-x)

Therefore a=f(2)=f(-2)=4

5 0
3 years ago
40 points! I just need this one, please help
vesna_86 [32]

Answer:

  • C. 3,75 cm

Step-by-step explanation:

<u>Ratio of corresponding sides:</u>

  • CD/BC = BC/AB
  • CD/6 = 6/9.6
  • CD = 6*6/9.6
  • CD = 3.75 cm

Correct choice is C

7 0
2 years ago
Which number is located between 15 and 20 on a number line?
jeyben [28]

Answer: 17.5  is located between them.

Step-by-step explanation:

To find out which number is located between the numbers, find their mean average which sum of the numbers divide by the number of values.

15 + 20 = 35

35 / 2 = 17.5

8 0
3 years ago
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