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Tcecarenko [31]
3 years ago
12

How do I solve this?​

Mathematics
1 answer:
ch4aika [34]3 years ago
4 0

Answer:

x =  \frac{3}{2}  +  \frac{ \sqrt{5} }{2} ; \:  \: x = \frac{3}{2}   -  \frac{ \sqrt{5} }{2}

Step-by-step explanation:

1 +  \frac{1}{ {x}^{2} }  =  \frac{3}{x}  \\  \\  \frac{ {x}^{2} + 1 }{ {x}^{2} }  =  \frac{3}{x}  \\  \\  {x}^{2}  + 1 =  \frac{3 {x}^{2} }{x}  \\  \\  {x}^{2}  + 1 = 3x \\  \\  {x}^{2}  - 3x + 1 = 0 \\  equating \: it \: with \\ a {x}^{2}  + bx + c = 0 \\ a  = 1 \\ b =  - 3 \\ c = 1 \\  \\ x =  \frac{ - b \pm \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\  x =  \frac{ - ( - 3) \pm \sqrt{ {( - 3)}^{2}  - 4 \times 1 \times 1} }{2 \times 1}  \\  \\ x =  \frac{ 3 \pm \sqrt{ {9  - 4}} }{2}  \\  \\ x =  \frac{ 3 \pm \sqrt{ {5}} }{2}  \\  \\ x =  \frac{3}{2}  +  \frac{ \sqrt{5} }{2} ; \:  \: x = \frac{3}{2}   -  \frac{ \sqrt{5} }{2}

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GIVEN PARALLELOGRAM ABCD, FIND THE LENGTHS AND ANGLES REQUIRED
Scrat [10]
Co-interior properties. 180 degrees = two co-interior angles.

180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5     /5
18 = y

Angle 1: 2y + 50
              2(18) + 50
              36 + 50
              86

Angle 2: 3y + 40
              3(18) + 40
              54 + 40
              94

86 + 94 = 180 so it is true.

Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal

5x + 2 = 8x - 7
        2 = 3x - 7
        9 = 3x
       /3    /3
        3 = x

Side 1: 5x + 2
            5(3) + 2
           15 + 2
           17

Side 2: 8x - 7
            8(3) - 7
            24 - 7
            17

Both sides are equal; 17.

Angle 1: 86
Angle 2: 94
Sides: 17
6 0
3 years ago
What values are not in the domain of (-5+2x^2)/7-8x ?
NemiM [27]

\frac{-5 + 2x^{2}}{7 - 8x}

The denominator cannot equal zero.

7 - 8x ≠ 0

7       ≠  8x

    \frac{7}{8} \neq \frac{8x}{8}

\frac{7}{8} \neq x

Answer: \frac{7}{8} is not in the domain

4 0
3 years ago
Find the difference between the square of 15 and and the square of 5
White raven [17]
The difference is about 1.63
6 0
3 years ago
A study of 133 investmen managers revealed the following make an inference about the population of all investment managers conce
Aliun [14]

Answer:

(A.)

21% selected health care as the sector most likely to lead the market in the next 12 months.

47% of managers classified themselves as bullish or very bullish on the stock market.

(B.)

The average return expected on equities over the next 12 months for equities was 11.2% for the population of investment managers.

(C.)

The length of time it will take for technology and telecom stocks to resume sustainable growth is estimated to be about 2.5 years by investment managers.

Step-by-step explanation:

Descriptive statistics gives a quantitative evaluation of particular scenario or information.

Here, the percentage of people who selected health care to lead the market in the next 12 months and the the percentage of managers who classified themselves as bullish or very bullish are examples of descriptive statistics.

The inference Given in the problem is about all investment managers, which is the population mean.

And the lengtb of time it will take for technology and telecom stocks to resume sustainable growth is estimated to be about 2.5 years by investment managers.

7 0
2 years ago
At Hong's auto shop, it takes him 12 minutes to do an oil change and 18 minutes to do a tire change. Let x be the number of oil
-Dominant- [34]

Answer: 12x+18y ≤ 60

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

The product of the time that takes to do an oil change (12) and the number of oil changes(x); plus The product of the time that takes to do a tire change (18) and the number of tire changes; must be less or equal to  60 minutes (time available).

12x+18y ≤ 60

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
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