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

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

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.

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:

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:

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

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:

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

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.

(picture included) brainliest

Answers

Step-by-step explanation:

118 is the answer 238-120 = 118

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]

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

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.

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

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:

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:

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]

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:

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.

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~

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

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

Can someone double check my answer please !!

Answers

Answer:

C

Step-by-step explanation:

gg

Answer:

ya its correct

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:

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]

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

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).

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.
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