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

Estimate the quotient: 1628 ÷ 8 and its NOT 203

Answers

204 i rounded up from 203.5

Answer:

203.5

hope this helps:)

Step-by-step explanation:

What is the Pr me Factorization of 402?​

Answers

i think it’s 2,3,67

Which expression is equivalent to 4(2x - 3)

Answers

Answer:

8times -12

Step-by-step explanation:

hope that helps

Expression 4(2x - 3) will have an analogous expression of 12x - 12.

What is an expression?

The link between numbers, variables, and functions using mathematical signs like addition, subtraction, multiplication, and division is referred to as expression in mathematics.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such addition, subtraction, multiplication, and division.

Given expression is 4(2x - 3 ). The equivalent expression will be solved as below,

E = 4(2x - 3 )

E = 8x - 12

Hence, 8x – 12 will be the equivalent expression.

To know more about an expression follow

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If PQR = STU, find the measure of each part.
R
8 m
59°
P
7 m
g
75
T
U

Answers

The answer is below

Step-by-step explanation:

Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.

Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.

∠P = ∠S = 59°

∠S + ∠T + ∠U = 180° (sum of angles in a triangle)

59 + 75 + ∠U = 180°

134 + ∠U = 180°

∠U = 46°

∠U = ∠R = 46°

∠Q = ∠T = 75°

Also, for the sides:

ST = PQ = 7 m

SU = PR = 8 m

10. A 1.5 gallon jug needs to be filled with water.
If the jug is filled one pint at a time, how
many pints are needed to fill the jug?

Answers

Answer:

12 Pints

Step-by-step explanation:

There are 8 pints (pt) in 1 gallon (gal). This means that 1 pint equals 1/8 gallon.

1.5 x 8

=12

Caroline has a mask collection of 380 masks. She keeps 45% of the masks on her wall. How many masks does she keep on her wall?

Answers

Answer:

171

Step-by-step explanation:

multiply 380 times 0.45 so like this:

380 x 0.45 = 171

Select each graph or table that is a function. You must select ALL correct answers

Answers

Photo please? and a function means that it cant have the same number of x axis'

example,

function;

15  6

-46  37

36  -37

27  -25

not a function;

-1  3

5  7

-5  6

-1  8

Answer:

A,b,c

Step-by-step explanation:

Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.

6 x + 8 y = 133. 2 x = y.

Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.

Answers

Answer:

See below!

Step-by-step explanation:

Only the first choice is accurate.

The second choice is incorrect since it doesn't accurately represent the situation described.

The third choice is incorrect since it also doesn't accurately represent the situation described.

The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.

While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.

Answer

Only option 1 is correct

Consider the equation below.
log.(x+3) = log2 (2+x)
Which system of equations can represent the equation?

Answers

Answer:

Option (1)

Step-by-step explanation:

[tex]\text{log}_4(x + 3)=\text{log}_2(2 + x)[/tex]

[tex]\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]

[tex]\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]

System of equations can be written as,

[tex]y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]

[tex]y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]

Therefore, system of equations given in Option (1) is the correct option.

Answer:

Option (A)

Step-by-step explanation:

Good Luck on your test

12x-(5x+4y)-2y+3x-(2x-2y)​

Answers

Answer:

8x-4y

Step-by-step explanation:

Which are shown on the diagram? Check all that apply.

Answers

Answer:

i think b,c,d and f

Step-by-step explanation:

Can some one help me with Freshmen Algebra I kinda forgot how to do something and I need a refresher.

Answers

Answer:

Wheres the question?

Step-by-step explanation:

3
Make x the subject of the formula y=9ax-4b
helppp

Answers

Answer:

take out the a with an equation

The solution of x is y+4b/9a for equation y=9ax-4b

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=9ax-4b

y equal to nine times of  and x minus four times of b.

We need to solve for x

Add 4b on both sides

y+4b=9ax-4b+4b

y+4b=9ax

Divide both sides by 9a to separate x on RHS

y+4b/9a=x

Hence the solution of x is y+4b/9a for equation y=9ax-4b

To learn more on Equation:

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I"LL GIVE BRAINIEST !!!!

Sam is going to participate in a fundraiser for the soccer team. They will sell hot dogs at $2 each. Initially it costs $26 to buy the hot dogs and buns.

1. What equation represents, y, the total amount of money they will make if they sell x hot dogs?

2. If the soccer team wants to make at least $100, how many hot dogs will they have to sell?

Answers

Answer:

1-  y= x × 50, $100= $2 × 50

2- The team will need to sell about 50 hot dogs because one is $2 and 2 multiplied by 50 is 100.

Step-by-step explanation:

hope this helps good luck

help me answer this geometry question please!! will give brainliest and 5 stars!!

Answers

b . using SAS theorem

find the mode of the data 6,8,3,6,3,7,4,6,7,3,6.​

Answers

Answer:

6 is the answer

Step-by-step explanation:

Given,

Observations = 6,8,3,6,3,7,4,6,7,3,6

From the above given data,

The observation 6 occurs 4 times, observation 3 occurs 3 times,observation 7 occurs 2 times and the observation 8 occur 1 time.

Mode:The most frequently occurring value.

So the mode of the data is 6 as it occurs more frequently than other.

Rose pls. answer me if ur still on

Answers

Rose answer them ! They are trying hard to not lose u and wasting their points for u .

PLZZZ HELP WILL MARK BRAINLIEST What is the simplified value of the expression below?
4.5-59
0.2x3-02
A) -3.5
B) -2.4
C)2.4
D)3.5

Answers

Answer:

-3.5

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1

Answers

Answer:

X .

-1 | 2

-11-1

-11-4

0 3

2 1-1

-13

0

0

-4-1

--3 0

-1 2

-1 1

0 3

2-5

0 0

2

2

3

3

A. III

B.IV

C.

D

1\

Step-by-step explanation:

This is a picture of the answer choices!!​

Answers

Answer:

I would choose B. Sorry if incorrect. Hope it helps. :)

Step-by-step explanation:

Usually the correct answer is B when I do assignments.

Answer:

B!!

Step-by-step explanation:

there you go bud!

Heng was trying to factor 10x^2+5x. She found that the greatest common factor of these terms was 5x5x5, x and made an area model:

Answers

Answer:

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

Step-by-step explanation:

Given

[tex]Area = 10x^2 + 5x[/tex]

[tex]Length = 5x[/tex]

Required (Missing)

Determine the Width?

Area is calculated as:

[tex]Area = Length * Width[/tex]

Substitute values for Area and Length

[tex]10x^2 + 5x = 5x * Width[/tex]

Factorize the right hand side

[tex]5x(5x + 1) = 5x * Width[/tex]

Divide both sides by 5x

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

Hence, the width of the model is 5x + 1

Equivalent ratios are ratios that contain different numbers but express the same relationship between the quantities they're comparing. Ratios are equivalent if there's a positive number that can be multiplied by both quantities in one ratio to get the corresponding quantities in the second ratio. For example, imagine you're making hot sauce that calls for chile peppers and tomatoes in a ratio of 1:2. If you put in 1 chili pepper, you'll need to put in 2 tomatoes. If you put in 2 chili peppers, you'll need to put in 4 tomatoes to keep the ratio the same. You can multiply both numbers in the first ratio by 2 to get the corresponding numbers in the second ratio: 1 × 2 = 2 2 × 2 = 4 The ratios show the same relationship between chili peppers and tomatoes. Which of these ratios is equivalent to 2:3? A 2:6 B 4:6 C 3:2 D 3:4

Answers

Answer:

B 4:6

Step-by-step explanation:

Which of these ratios is equivalent to 2:3?

2 : 3 = 2/3

Check all that applies

A 2:6

= 2/6

= 1/3

= 1 : 3

B 4:6

= 4/6

= 2/3

= 2 : 3

C 3:2

= 3/2

= 3 : 2

D 3:4

= 3/4

= 3 : 4

The correct answer is B 4 : 6

. Distance from A to B is 2 inches in the drawing. If the scale is 1 in: 200
miles, find the actual distance from A To B

Answers

Answer:

400 miles

Step-by-step explanation:

If 1 inch is equal to 200 miles and the distance from A to B is 2 inches, multiply 200 × 2 to get 400

Answer:

The actual difference is 400 inches.

Step-by-step explanation:

To find the actual distance, you multiply the distance (which is 2 inches),  To the scale 1:200. 2 x 200 = 400. Therefore the actual distance which is 400 inches.

25 is 10% of what number?

Answers

Answer: 40

Step-by-step explanation:

This is saying one-fourth, or 25% , of a number x , is equal to 10 . Therefore, 25% of 40 is 10

Answer:

250

Step-by-step explanation:

10%x10=100%

25x10=250

probably not the best explanation but I hope it helps!

(Please help me with this one it is due in ten minutes :'(

A snail is trying to get to the other side of a park. At what rate is the snail moving?

A) 1/2 foot per minute
B) 1 foot per minute
C) 1 1/2 feet per minute
D) 2 feet per minute

Answers

Answer:

I think the answer is C

Step-by-step explanation:

First you need to find 2 coordinates on the graph. (2,3) (4,6)

Use the formula M= y2-y1 ÷ x2-x1

Then m= 6-3 ÷ 4-2

Then m= 3÷2 = 1.5

So the slope should be 1.5 or 1 1/2

Plz, Help me with this question!!!!

Answers

Answer:

option 1. 2/3x-2

Hope this helps! :)

Answer:

2/3x-2

Step-by-step explanation:

Find the slope-intercept equation of the line that
passes through (0,4) and has a slope of 1.

Answers

Answer:

y = 1x + 4

Step-by-step explanation:

Gives you anything you need. It gives you the slope and the y intercept 4.

n2 = 39


HELP YALL ILL GIVE BRAINLY

Answers

Answer: 78

Step-by-step explanation: multiply 39 by 2

The answer to this question is 78

Which sample size would give the
best estimate of the population
mean?
Answer choices:
18
30
45
60

Answers

if those are the possible answers i'm pretty sure you need to have a group of numbers you extract the mean from for example form the numbers 56, 77, 65, 87, and 99 the mean of the numbers would be 77 so once i have those we can figure it out

Can S1 help pls and ty

Answers

Answer:

It is 52

Step-by-step explanation:

Hope this helped have an amazing day!

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