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worty [1.4K]
3 years ago
15

The sum of a number and its reciprocal is 13/6. find the number

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0
x + \frac{1}{x} = \frac{13}{6} \text{, x} \neq 0
x^{2} - \frac{13}{6}x + 1 = 0
6x^{2} - 13x + 6 = 0
6x^{2} -9x - 4x + 6 = 0
3x(2x - 3) - 2(2x - 3) = 0
(3x - 2)(2x - 3) = 0

So, the numbers are: 3/2 and 2/3
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Hellllllllllllllllllllllllllllllllllllllllpppppppppppppppppppp
Cerrena [4.2K]

Answer:

A) 52

Step-by-step explanation:

Each answer, when you divide, all equal to 52

6 0
3 years ago
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What’s the correct answer for this?
otez555 [7]

Answer:

0.7 + 0.4 - 0.2 = 0.9

Step-by-step explanation:

Let's denote the probabilities as following:

The probability that the show had animals is

P(A) = 0.7

The probability that the show aired more than 10 times is

P(B) = 0.4

The probability that the show had animals and aired more than 10 times is

P(A⋂B) = 0.2

The probability that a randomly selected show had animals or aired more than 10 times is P(A⋃B)

The correct form of  addition rule to determine the probability that a randomly selected show had animals or aired more than 10 times is:

P(A⋃B) = P(A) + P(B) - P(A⋂B) = 0.7 + 0.4 - 0.2 = 0.9

=> Option B is correct

Hope this helps!

7 0
3 years ago
I need help drawing the graph of -2x+2y=-4
True [87]
Arrange in slope intercept form.....
2y = 2x -4
y = x - 2

So, the line would go up......crossing the y axis at -2.........hope this helps

4 0
3 years ago
Read 2 more answers
A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the groun
kramer

Answer:

659.6 ft

Step-by-step explanation:

x = 140 / tan 23  

x = 329.82(rounded to hundredth)

so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet

4 0
3 years ago
Which of the following equations describes the line shown below? Check all<br> that apply.
scoundrel [369]

Answer:

B. y = 2x - 2

E. y + 4 = 2(x + 1)

F. y - 6 = 2(x - 4)

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form y - b = m(x - a)

Thus:

y - 6 = 2(x - 4)

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form y - b = m(x - a)

Thus:

y - (-4) = 2(x - (-1))

y + 4 = 2(x + 1)

✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2

6 0
3 years ago
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