if x+1/x = 5 find the value of x^3 +1/x^3. pls solve​

Answers

Answer 1

Answer:

1) solve x+1/x = 5

[tex] \frac{x + 1}{x} = 5[/tex]

[tex]x + 1 = 5x[/tex]

[tex]x - 5x = - 1[/tex]

[tex] - 4x = - 1[/tex]

[tex]x = \frac{ -1}{ - 4} [/tex]

[tex]x = \frac{1}{4} [/tex]

2) solve x³+1/x³

[tex]x {}^{3} + \frac{1}{x {}^{3} } [/tex]

substitute x = 1/4 into the expression

[tex]( \frac{1}{4} ) {}^{3} + \frac{1}{( \frac{1}{4}) {}^{3} } [/tex]

[tex] \frac{1}{64} + \frac{1}{ \frac{1}{64} } [/tex]

[tex] \frac{1}{64} + \frac{64 \times 1}{1} [/tex]

[tex] \frac{1}{64} + 64[/tex]

[tex] \frac{4097}{64} \: or \: 64.02[/tex]


Related Questions

DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the translation.

Answers

Answer:

If you're on edge and it's the multiple choice one it would be a

5.) On Wednesday, a restaurant serves coffee to 75 of 150 of its customers.
What percent of the customers ordered coffee?

Answers

Answer:

50%

Step-by-step explanation:

Long division

Answer:

50%

Step-by-step explanation:

To find the percent, divide 75 by 150 and multiply by 100:

75/150

= 0.5

0.5(100)

= 50

So, 50% of the customers ordered coffee

−(5x−0.4)=−7(−0.4−x) need to be exact or rounded to the nearest hundredth.

Answers

Answer:

-0.2

Step-by-step explanation:

it's that exact answer , I did not rounded

Select the correct answer.
Which function has the same zeros as g(x) = -x3 + x2 + 12x?
ОА. .
y
-30
-20
10
1-10
-8
-6
-4
-2
6
8
10
-10
20

Answers

Answer: -30

Step-by-step explanation:

-30 bc it has the same functions.

Answer:

points -3,0,4 on a graph

Step-by-step explanation:

correct on edmentum or plato

The zoo has 12 Emperor penguins, which makes up 24% of all penguins at the zoo. How many penguins live at the zoo?​

Answers

Answer:

[tex]50[/tex] penguins

Step-by-step explanation:

Let [tex]p[/tex] = number of penguins at the zoo

[tex]24\%p=12[/tex] (Is given that 12 Emperor penguins at the zoo make up 24% of total penguins)

[tex]0.24p=12[/tex]

[tex]p=12\div0.24[/tex]

[tex]p=50[/tex]

∴ There are [tex]50[/tex] penguins at the zoo

Hope this helps :)

Question 2 of 20
Which of the following is the range of the function based on the input-output
table below?
Hours
of training
5
10
15
Pay
per month
1100
1200
1300
20
1400
25
1500
30
1600
1700
35
A. (1100, 1200, 1300, 1400, 1500, 1600, 1700}
B. 1700, 35,1600, 30, 1500,25)
C. (5.10, 15, 20, 25, 30, 35)
D. (5, 1100, 15.1200, 25, 1300)

Answers

Given:

The function on the Input output table.

To find:

The range of the given function.

Solution:

We know that, range is the set of output values.

From the given table it is clear that, hours of training is the input variable and pay per month is the output value.

So, range of the given function is the set of pay per month.

Range = {1100, 1200, 1300, 1400, 1500, 1600, 1700}

Therefore, the correct option is A.

What is 1/3 (x + 15) = 3

Answers

Answer:

hi there

-6

Step-by-step explanation:

x=-6

Final Answer: [tex]x = -6[/tex]

Steps/Reasons/Explanation:

Question: What is [tex]\frac{1}{3} (x + 15) = 3[/tex]?

Step 1: Simplify [tex]\frac{1}{3}(x + 15)[/tex] to [tex]\frac{x+15}{3}[/tex].

[tex]\frac{x + 15}{3} = 3[/tex]

Step 2: Multiply both sides by [tex]3[/tex].

[tex]x + 15 = 3[/tex] × [tex]3[/tex]

Step 3: Simplify [tex]3[/tex] × [tex]3[/tex] to [tex]9[/tex].

[tex]x + 15 = 9[/tex]

Step 4: Subtract [tex]15[/tex] from both sides.

[tex]x = 9 - 15[/tex]

Step 5: Simplify [tex]9 - 15[/tex] to [tex]-6[/tex].

[tex]x = -6[/tex]

~I hope I helped you :)~

At a jewelry store, the necklace costs $380.60, but the store is having
a 75% discount for Valentines Day. What is the new price of the necklace?
$95.15
O $190.30
O $266.42
$285.45

Answers

Answer: 95.15

Step-by-step explanation:

To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15

(I got the .25 from subtracting 100-75, and the 75 is the percent)

Answer: 95.15

Step-by-step explanation:

Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15

City A has an elevation of 45 feet above sea level. City B is below sea level, with an elevation of -15 feet. What is the difference in elevation between City A and City B?

Answers

Answer:

60 hope this helps!

Step-by-step explanation:

45-(-15) = 60

Answer:

Well person, it's 60 feet.

Step-by-step explanation:

Because it is simple math. You just add 45 and 15 then BOOM! ANSWER

Dan runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Answers

Answer:

I think it would be 4 not sure

20 points!

24, and 25 has to be in simplest form.

JUST NEED HELP ON 24 AND 25!

Answers

Answer:

I think they would be 7 4/6 & 5 2/8

Step-by-step explanation:

srry if im late!

Sharon makes bracelets and necklaces to sell at the school fair. She makes a total of 40 bracelets and necklaces. She makes 3 times as many bracelets as necklaces. Which system of equations can be used to determine how many bracelets, x, and how many necklaces, y, she m

Answers

Answer:

So, the system of equations are

x+y=40

x= 3 y

Step-by-step explanation:

Let's make system of equations for the given information.

Let x number of bracelets and y number of necklaces made.

So, for the information

She makes a total of 40 bracelets and necklaces, we can set up equation as

x+y=40

Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as

x=3 y

What is 2x + 2 when x = 0? A 0 B 2 C 20 D 22

Answers

Answer:

B. 2

Step-by-step explanation:

Step 1:

2x + 2          Equation

Step 2:

2 ( 0 ) + 2        Input x value

Step 3:

0 + 2        Multiply

Answer:

B. 2

Hope This Helps :)

Answer:

B

Step-by-step explanation:

evaluate : 7^4×7^5×7^-9
pls solve to get brainiest ​

Answers

Answer:

1

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{0}[/tex] = 1

Given

[tex]7^{4}[/tex] × [tex]7^{5}[/tex] × [tex]7^{-9}[/tex]

= [tex]7^{(4+5-9)}[/tex]

= [tex]7^{0}[/tex]

= 1

A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555​

Answers

Answer:

B) 3.7(1.15)

Step-by-step explanation:

Southlake Cable charges $50 per month for basic cable and $5 for each premium movie channel. Lakeview Cable charges $41 per month for the same cable package and $6.50 for each premium movie channel. The graph of the equations representing the costs for each company is shown in the graph.

Answers

Answer:

Six movie channels, because 5(6) + 50 = 6.5(6) + 41

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

11,60,62

Hope this helps

what isn’t your the first time in the year you have a baby shower

A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term

Answers

Given:

[tex]f(1)=3,f(n)=2\times f(n-1)[/tex]         ...(i)

For [tex]n\geq 2[/tex].

To find:

The nth term for the given recursive formula.

Solution:

The given recursive formula is of the form of

[tex]f(n)=r\times f(n-1)[/tex]            ...(ii)

It is the recursive formula of a GP, where r is common ratio.

On comparing (i) and (ii), we get

[tex]r=2[/tex]

Now,

First term: [tex]a=f(1)=3[/tex]

Common difference: [tex]r=2[/tex]

nth term of a GP is

[tex]f(n)=ar^{n-1}[/tex]

Putting a=3 and r=2, we get

[tex]f(n)=3(2)^{n-1}[/tex]

Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].

1. For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to
feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza. Let:
S = number of small pizzas he can buy & L = number of large pizzas he can buy.
Select the system of inequalities that represents this situation.

Answers

Answer:

7.25S + 10.50L ≤ 90

The system of inequalities that represents a given situation are  S+L>5 and 7.25S+10.50L≤90.

Given that, For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza.

What are inequalities?

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let S = the number of small pizzas he can buy and L = the number of large pizzas he can buy.

Juan must buy more than 5 pizzas to feed the team.

That is, S+L>5

Pizzas are $7.25 for a small pizza and $10.50 for a large pizza=7.25S+10.50L

Juan collects $90 for pizza. So, 7.25S+10.50L≤90

Therefore, the system of inequalities that represents a given situation are  S+L>5 and 7.25S+10.50L≤90.

To learn more about the system of inequalities visit:

https://brainly.com/question/16339562.

#SPJ2

180=16x -5+5x +4 +9O

Answers

Answer:

The answer is in the pic below

Step-by-step explanation:

Answer:

x = 4.3 (repeating 3) in Decimal Form

x = 13/3 in Exact Form

x = 4 1/3 in Mixed Number Form

Step-by-step explanation:

180=16x - 5 + 5x +4 + 90

180 = 21x -5 + 4 + 90 (combine like terms)

180 = 21x + 89

180 = 21x + 89 (subtract 89 on both sides)

-89           - 89

91 = 21x (divide 21 by both sides)

91/21 = 21x/21

4.3 (repeating 3) = x

What is the value of 2(5b - 7) in terms of y if b = 3y ?

Answers

2(5b-7), you can input b as 3y
2(5(3y)-7) —> 2(15y-7) —> 30y -14
—> 30y = 14 —> y = 14/30 —> y = 4.6667
It’s just 2(5(3y)-7) or 2(15y-7), which is 30y-14.

Drag the correct word into the space provided in order to complete the sentence.
If an outlier is included in a data set the....... is least affected

mean , median, range or standard deviation

Answers

Answer:

mean for the the second median for the 1st one

Step-by-step explanation:

QUESTION 15!1!!11!JAKQKQKAKAKS

Answers

Answer:

2 groups of 3 boys = 6

Step-by-step explanation:

Help me with this answer I know there is no solution I just wanna know why

Answers

Answer:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true

Answer:

No solution

Step-by-step explanation:

The solution x = 0 means that the value 0. “No solution” means that there is no values

What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

x ≥ 3

Step-by-step explanation:

the domain of a graph consists of all the input values shown on the x -axis

The domain of the square root function graphed below would be x ≥ 3

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.

The domain is all  real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)

so, the range is all real numbers for x>3

Hence, the domain of a graph consists of all the input values of the x -axis.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ7

A man has 20.24$. He bought a thing for 4.49$. He also bought another thing for 3.99$. Will the money be enough to buy another item that costs 9.99$. If yes, how much money will remain?

Answers

Answer:

Yes: $1.77

Step-by-step explanation:

20.24 - 4.49 = 15.75

15.75 - 3.99 = 11.76

Yes, there will be enough for the 9.99 thing

11.76 - 9.99 = 1.77

The man will have 1.77 at the end.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Calculate the slope of a line that passes through the points (9, 3) and (19, -17). 10 2 -2 7/5

Answers

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 3) and (x₂, y₂ ) = (19, - 17)

m = [tex]\frac{-17-3}{19-9}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2


HELP ASAP! WILL MARK BRAINLIEST

Answers

Answer:

it will be the first the 5th the 2nd and the 3rd

Nathan usually drinks 38 ounces of water per day. He read that he should drink 66 ounces of water per day. If he starts drinking 66 ounces, what is the percent increase? Round to the nearest percent.

Answers

Answer:

73.6%

Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.

PLEASE HELP whats the answer for this problem

Answers

Answer:

it is 20 me and that other kid did the same thing

Step-by-step explanation:

5x+12 + 3x+8 =180

8x=180-20

8x=160

hope that helps brainly plz

x=20

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