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natulia [17]
3 years ago
8

If x + 1/x = 5, find the value of x^3 + 1/x^3

Mathematics
2 answers:
qwelly [4]3 years ago
7 0

Answer:

110

Step-by-step explanation:

The expansion (a + b)³ is

(a + b)³ = a³ + b³ + 3ab(a + b)

Then

(x + \frac{1}{x} )³ with a = x and b = \frac{1}{x}

= x³ + \frac{1}{x^3} + 3x . \frac{1}{x} (x + \frac{1}{x} )

Thus

x³ + \frac{1}{x^3} = (x + \frac{1}{x} )³ - 3(x + \frac{1}{x} )

           = 5³ - 3(5)

           = 125 - 15

           = 110

Aneli [31]3 years ago
3 0

Answer:

x=5/3 your answer right answer

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Find the circumference of a circle with an area of 676pi
saveliy_v [14]

Answer:

The circumference of the circle is 52π

Step-by-step explanation:

To solve this exercise we first have to calculate the radius of the circle, for this we will use the formula of area of ​​a circle and we will clear the radius

a = area = 676π

r = radius

a = π * r²

we clear r

r = √(a/π)

now we replace the known values

r =  √(676π/π)

r = √(676)

r = 26

now we use the formula to calculate the circumference of a circle

c = π * 2r

c = π * 2 *  26

c = 52π

The circumference of the circle is 52π

6 0
3 years ago
Read 2 more answers
Can someone please solve this, tell me which one goes where in order.​
sasho [114]

Total discount for 10 group tickets = 10 · 0.05t

Amount of discount per ticket = 0.05t

Number of tickets = 10

Cost of buying 10 single tickets = 10t

Solution:

Cost for single ticket = t dollars

Discount percent per ticket = 5%

Number of tickets bought = 10

Total discount for 10 group tickets = Number of tickets × Discount amount

                                                         = 10 × 0.05t

Total discount for 10 group tickets = 10 · 0.05t

Amount of discount per ticket = 5%t

                                                  = \frac{5}{100} t

                                                  = 0.05t

Amount of discount per ticket = 0.05t

Number of tickets = 10

Cost of buying 10 single tickets = 10t

4 0
4 years ago
Redondear a 100,000 el numero 5,370,288
Softa [21]

Para redondear este número a 1,000, verifiquemos el tercer dígito del número.

Si el dígito es mayor que 5, aumentamos el siguiente número en 1 unidad.

Si el dígito es menor o igual a 5, mantenemos el siguiente número.

El tercer dígito es 3, por lo que el número redondeado es:

25,000

6 0
1 year ago
Write an equation that goes through the point (6, -2), and is perpendicular to the line y = 2/3x + 19
boyakko [2]
Y+2=-3/2(x-6). otherwise be equivalently.
y=3/2x -11
3 0
3 years ago
I need the answer fast pls
viva [34]

Answer:

5

Step-by-step explanation:

range is all possible y values of a function

7 0
3 years ago
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