Mathematics High School

if (a+1/a) =4, find the value of (a cube +1/a cube)​

Answers

Answer 1

Answer:

a=2+√3 or a=2−√3

Step-by-step explanation:

Multiply all terms by a and cancel:

aa+1=4a                         ∴ (Simplify both sides of the equation)

a2+1−4a=4a−4a            ∴ (Subtract 4a from both sides)

a2−4a+1=0

For this equation:  a=1,  b=-4,  c=1

1a2+−4a+1=0

a = −b ±  √b2 − 4ac2a divided by 2a    ⇒(Use quadratic formula with a=1, b=-4, c=1)

−(−4) ± √(−4) 2−4 (1) (1) /2 (1)

a=4±√12/2

a=2+√3 or a=2−√3

a=2+√3 or a=2−√3

Related Questions

What is the definition of Point ?

Answers

Answer: A point in geometry/math is a location that has no size, meaning it has no width, no length, and no depth.

Answer:

A point in geometry is a location

Step-by-step explanation:

It has no size, no width, no length, and no depth. A point is shown by a dot.

Rae-ko rides her bicycle 35 miles in 2.5 hours. What is her cycling speed in miles per hour?

Answers

Answer:

14

Step-by-step explanation:

35/2.5

BRAINLIEST FOR RIGHT ANSWER ITS VERY EASY

Answers

Answer:

a; 2

b; -11

c; -25

d; -27

e; -1.5

Step-by-step explanation:

next time try to crop out what you're doing ;)

Answer:

____________________________

Question 4:

a) 12 + ( -10 ) = [-2]

b) (-5) - 6 = [-11]

c) (-42) + 17 = [25]

d) 35 - (-8) = [43]

e) (-4.5) + 3 = [-1.5]

The triangles shown below must be congruent.
30
30°
5
5
OA. True
O B. False

Answers

False. You need to graphically turn the triangle and see if it matches. It’s a trick question, the legs don’t match. They switched the position of the 5 on each triangle and the legs are 100% not equal (30-60-90 triangle).

Note: if the question was changed to 45 degree angle (45-45-90) instead of the famous (30-60-90) then they would be congruent because both legs of each triangle would be 5. In other words the 45 degrees tells us the legs are equal on every triangle but the 30-60-90 triangle tells us 100% the legs must be different.

Easy math problems!!!

Answers

Answer:

Rad 68

Step-by-step explanation:

84- 4^2=68

Answer:

u call that easy that is hard

Step-by-step explanation:

The graph of the function f(x) is shown below.
COA
2
-6 -6 -4 -2
-2
2468
-4
co
-87
The equation of the function g(x) is shown below.
g(x) = 3x
What is the solution to the equation f(x) = g(x)? Enter your answer in the box.

Answers

Answer:

i think 2\

Step-by-step explanation:

Reply to this and I’ll do your work for a week

Answers

Answer: Okay?

Step-by-step explanation:

Answer: ok..

Step-by-step explanation:

how

Can someone double check my answer please !!

Answers

Answer:

C

Step-by-step explanation:

gg

Answer:

ya its correct

Which angle number is a vertical angle to

Answers

6 i think... could be wrong i don’t remember this stuff

Answer: 6

Step-by-step explanation:

The length of a rectangle is 5 times its width if the perimeter of the rectangle is 108 yd find its length and width

Answers

The length of the rectangle is 45 yd,

and the width of the rectangle is 9 yd.

Given that, The length of a rectangle is 5 times its width, and

the perimeter  is 108 yd.

Let the width of rectangle be 'x' yd ,

therefore the length of the rectangle is '5x' yd  as mentioned that the length is five times the width.

we know that,

Perimeter of the rectangle = 2(length + width)

and given perimeter of rectangle is 108 yd.

Therefore the perimeter = 2( 5x + x )

                               108    = 2( 6x )

                               108    = 12x

                          108/12    = x

                                x      = 9

we know that 'x' is nothing but the width of the given rectangle.

Therefore the width of given rectangle is 9 yd, and

The length of the given rectangle is 5x = 5 * 9 = 45 yd.

Learn more about rectangle on,

https://brainly.com/question/17297081

#SPJ9

I really need help with these questions 5. Wesley subscribes to telecommunications company's movie package The plan includes a basic monthly charge of $40 and an additional charge of $ 1.50 for every movie ordered. Another telecommunications company's movie package deal is a monthly charge of $ 30 and a charge of $2 per movie ordered Wesley better off to stay with his current deal? A.) Write an equation and solve it to determine how many movies Wesley would need to rent for the price to be the same at each company. B.) How much would it cost? Show your work

Answers

Answer:

20 movies ; $70

Step-by-step explanation:

Company 1:

Monthly charge = $40 ; additional = 1.5 per movie

Let number of movies = x ; t = cost

Equation 1:

y = 40 + 1.5x

Company 2:

Monthly charge = $30

Additional = $2 per movie

Equation 2:

y = 30 + 2x

1) for equation 1 = equation 2

40 + 1.5x = 30 + 2x

40 - 30 = 2x - 1.5x

10 = 0.5x

x = 10/0.5

x = 20

Hence, 20 movies

B.)

y = 30 + 2x

y = 30 + 2(20)

y = 30 + 40

y = $70

Write the expression in simpliest form WILL GIVE BRAINLIEST
1 + 3x + 8x - 6

Answers

Answer:

11x - 5

just add the terms and integers together

Answer:

Step-by-step explanation:

Answer:

Step By Step Explanation:

Factor  

Factor Out Common Term  

Cancel The Common Factor x + 4

What is 1836837292 times 816282?

Answers

Answer:

The product is 1.4993772e+15.

Step-by-step explanation:

Thanks for the points! Brainliest? Thanks!

Answer:

1499377218388344

Step-by-step explanation:

Need Help!!!!!! Geometry

Answers

Answer:

I forgot all the terms but all of the angles are the same so 55 for 1 2 and 3

When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?

Answers

I believe your answer should be A. 13x=18

Adsilla and Carlos volunteer to fill gift boxes for soldiers serving overseas. Both work at a constant rate. They work together for 4 hours and fill 108 boxes. Adsila fills 11 boxes every hour. How many boxes does carlos fill every hour?

Answers

Answer:

[tex]Carlos = 16[/tex] per hour

Step-by-step explanation:

Given

[tex]Total = 108\ boxes[/tex]

[tex]Hours = 4[/tex]

[tex]Adsila = 11\ boxes\ per\ hour[/tex]

Required

Determine the unit rate of Carlos

First, we need to calculate the total boxes filled by Adsila.

If Adsila gets 11 in 1 hour.

Then Adsila get 4 * 11 in 4 hours

[tex]4 * 11 = 44\ boxes[/tex]

Next, we calculate number of boxes left.

[tex]Left = 108 - 44[/tex]

[tex]Left = 64[/tex]

This is yhe number of boxes filled by Carlos.

Recall that they worked for 4 hours each.

Hence:

[tex]Carlos = \frac{64}{4}[/tex]

[tex]Carlos = 16[/tex]

What is the graph of the equation x^2-1=0

Answers

Answer:

the graph would be a vertical straight line. if the equation was just x^2 - 1, the graph would be quadratic.

i don’t see any options but the graph would be a vertical line

Solve for x.
-2(x+6)=-36

Answers

Answer:

x=12

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Which of the following values are zeros of x(x+5)(x-3)?

Answers

Answer:

The expression evaluates to zero when x = 0, -5, or 3

Step-by-step explanation:

As all three terms are multiplied together, only one of them needs to equal zero for the expression as a whole to do so.

M is the midpoint of XY. XM=10w+2 and MY=5w+22
WHAT IS XY??

Answers

Answer:

15w+24

Step-by-step explanation:

Answer:

84 units

Step-by-step explanation:

Since, M is the midpoint of XY.

[tex] \therefore \: XM= MY \\ \\ 10w + 2 = 5w + 22 \\ \\ 10w - 5w = 22 - 2 \\ \\ 5w = 20 \\ \\ w = \frac{20}{5} \\ \\ w = 4 \\ \\ \because \: XY = 2XM \\ \\ \therefore \: XY = 2(10w + 2) \\ \\ \therefore \: XY = 2(10 \times 4+ 2) \\ \\ \therefore \: XY = 2(40+ 2) \\ \\ \therefore \: XY = 2 \times 42 \\ \\ \therefore \: XY =84 \: units[/tex]

Megan drew a fraction that shows 6/8. What number can divide both the numerator and denominator to simplify this fraction?

Answers

Answer:

2

Step-by-step explanation:

The required number is 2. This divides 6 into 3 and 8 into 4. The simplified fraction is 3/4, which cannot be further simplified.

I NEED HELP THIS I NEED TO TURN THIS IN SOON! 70 POINTS AND BRAINLEST
please help!

Answers

Answer:

-259.2

-8.14

Step-bytep explanation:

Answer: a

Step-by-step explanation:

Which equation represents a line which is perpendicular to x=0x=0?

Answers

Answer:

what do you mean oh woo oh when you nod your head yes but you want to say no what do you mean

Step-by-step explanation:

Answer:

the answer is x = 1

Step-by-step explanation:

delta math assignassignment

Write in slope-intercept form the equation of the line that is parallel to the line y=2/3x-6 and passes through the point (3,3)

Answers

Answer: y=2/3x+1

Step-by-step explanation:

y=2/3x-6

y=2/3x+b ==> Parallel to y=2/3x-6 since they both have the same slope

3=2/3 (3)+b

3=2*3/3 +b

3=6/3 +b

3=2+b

b=1

y=2/3x+1

How do i solve this?

Answers

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The cost when no sugar is transported is 3250, so that is the "y-intercept". (There is no "y". The vertical axis is labeled "c", so that  is the c-intercept.)

The cost per ton is 125, so that is the slope or "rate of change". Each increase of 1 unit in the value of "s" will result in an increase of 125 in the value of "c". The grid lines for "c" are 500 apart, so 1 vertical grid space will correspond to 500/125 = 4 horizontal grid spaces.

The graph starts at the left side halfway between 3000 and 3500. It goes up 1 grid square for each 4 grid squares to the right.

(picture included) brainliest

Answers

Step-by-step explanation:

118 is the answer 238-120 = 118

Thank you so much for the help guys! I appreciate it. have a an amazing day.

Answers

You welcome!! Thank u too!!

Answer:

your welcome i guess

Step-by-step explanation:

Shivani is a supermarket cashier, and her roommate Krysta works at a local coffee shop. Last week, they earned the same amount in wages, but Shivani worked fewer hours. This week, they are scheduled to work the same number of hours as each other. Who will earn more money this week?

Answers

Answer:

The answer is Shivani, Shivani will make more money

Step-by-step explanation:

Answer:

GDAY MATES i think shivani will make more money have a great day

Step-by-step explanation:

~your friendly aussie~

What is the equation of the line that passes
through the points (-9,-4) and (-9,-10)?

Answers

X = -9
This is your answer

Answer:

it is indeed, x=-9

Step-by-step explanation:

What is the slope of the line shown in the graph? (See picture)
A. -1
B. -2
C. -1/2
D. 2

Answers

Answer:

Remember rise over run for the slope.

the slope is always the number on the left side (x) and the y intercept is the number in the right (y)

(x,y).

Other Questions
Suppose log5=b , then what is the exact value of log5^4? HELP!! I need to have this finished by the end of the day!!My book is on "To Kill A Mockingbird"Read the poem and consider the discussion information. Then answer all of the questions in complete sentences. 8 sentences minimum.Where Monsters Can Grow1998 RHLReprinted with permission from RHL SchoolBeware of the monstersWho dwell in the mind,Who grow in the shelterOf shadows they find.Beware of the demonsWho hide from the lights,Who only surviveWhen our spirits lose sight.Those creatures can thriveWhere our knowledge is low;They fill in the spacesOf what we dont know.Beware of the monstersThat cause us to hate,To strike out in angerWhen we cant relate.For ignorance darkensThe mind and the heart,And helps all our monstersTo tear us apart.But learning and thinkingWill strengthen us soWe wont be the placesWhere monsters can grow.DiscussionThis poem reminds the reader that the lack of knowledge can lead to unwarranted fears, anger, and even hate. If we do not make the effort to learn about things that we do not know or understand, we create beliefs in our minds that do not exist at all in reality. This poem communicates how easy it can be to make assumptions in the absence of knowledge.QuestionsWho or what are the monsters in the poem?What monsters are evident in the novel that youre reading?What enables these monsters to grow?What can prevent the monsters from growing?What connection(s) can you make between the theme in this poem and the conflict(s) in the novel? Which best describes the effect on the x-intercept of the graph of y=34x3 if the slope is changed to 34The x-intercept remains the same and the new line is translated upwardsThe x-intercept becomes negative and the new line is parallel to the original lineThe x-intercept remains the same and the new line is translated downwardThe x-intercept becomes negative and the new line intersects the original line What is the slope of the line that passes through points (6, 2) and (21, 3) ? Answer: __________ _________ is the creation of depth. Space Scale Texture Pattern If you take a number multiply by 7 then takeaway 1,You get the same as if you took the number multiply by 5 then takeaway 8. What is the number? on a 2000 calorie diet if you cut your sugar intake to 10% below your daily sugar intake be \Which best states how information in Team Moon and the NASA article are the same?Both give information about the moon landing of the Apollo 11 space mission.Both give detailed information about problems faced during the moon landing.Both give information about the entire Apollo 11 flight from launch to landing.Both give detailed information about the astronauts feelings during the flight. Supongase que se sabe que en ciertas poblacion el 10%de sus habitantes padece de daltonismo. Si de esta poblacion se extrae una muestra aleatoria al azar de 20 personas. 20 POINTS!!Which components could be used to help determine the target audience for a piece of media? (Select all correct answers.)the level of language usedwhere the media can be viewedthe types of people that appearwhether the media creators were paid eBuy Corporate Income Statement eBuy Corporation 20x1 Income Statement (in $millions) Sales 2,877 Cost of Goods Sold (100% variable) 1,012 Operating Expense (100% fixed) 821 Depreciation 364 Earnings Before Interest and Taxes 680 Interest Expense 320 Earnings Before Taxes 360 Taxes 140 Net Income 220 What is the degree of combined leverage for eBuy? find the slope and y-intercept for a line passing through the following two points,then create a slope intercept equation (-2,2) and (-5,-4) CREATE YOUR OWN PUN, I need 2 puns for English ASAPexample; bark- means a part of a tree and a sound a dog makes. Pun- the dog is barking up the wrong tree? Blake was competing in a cooking competition and needed to add 3/4 cup of flour to a recipe. The only measuring cup he could find was 1/8 of a cup. Black would need to fill the measuring cup times A cost is $11,000 at 1,000 units, $12,000 at 2,000 units, and $13,000 at 3,000 units. Using the high-low method, how much is the fixed portion of these costs The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph? maybe Free pts ;)jk!, IF U DK THE ANSWER DONT ANSWERThink of feelings, events, people and landscapes that have become part of its identity. In one page or less, using descriptive sensory language, capture an aspect of your town in narrative form. Make your words create a snapshot.Consider certain landmarks, feelings and traditions that characterize your town and write a story about them. Your goal is to make your reader smile, remember and laugh at the truth it reveals about the place. Explain how a musical instrument such as a piano may be tuned by using the phenomenon of beats. How does Sedgewick Bell develop the central idea of "the palace thief" in the short story, "The Palace Thief". Tony earned a bachelor's degree at a public school. Which type of higher education institution did he attend?A. A 2-year college.B. A propriety school.C. A theological school.D. A 4-year university.