How many real roots does the following equation have?
x4 -81 = 0

Answers

Answer 1

Answer:

Find roots of x4−81=0 by solving for x. x=3,−3

Step-by-step explanation:

Answer 2

The given equation [tex]x^4[/tex] - 81 = 0 has a total of two real roots x = 3 and

x = -3.

We have,

The given equation [tex]x^4[/tex] - 81 = 0 can be factored as a difference of squares:

[tex](x^2)^2 - 9^2 = 0\\(x^2 - 9)(x^2 + 9) = 0[/tex]

Further simplifying:

(x - 3)(x + 3)(x² + 9) = 0

From this factorization, the equation has two linear factors (x - 3) and

(x + 3) and one quadratic factor (x² + 9).

The linear factors, (x - 3) and (x + 3), will each provide one real root since they are linear equations.

x = 3 and x = -3.

The quadratic factor (x² + 9) has no real roots.

This is because the discriminant (b² - 4ac) of the quadratic equation is negative (a = 1, b = 0, c = 9), indicating that there are no real solutions.

Therefore,

The given equation [tex]x^4[/tex] - 81 = 0 has a total of two real roots,

x = 3 and x = -3.

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Related Questions

Can you please help please please help me with this question and i will give you a Brainiest

Answers

Answer:

5 points

Step-by-step explanation:

score of Zara = 15 points

Score of John = 10 points

Zara scored more than John = 15 - 10 = 5 points

Answer:

Hello! Your answer is 5

Step-by-step explanation:

Zara scored 15 points, and John scored 10 points

15-10=5

Hope this helps :)

Please mark brainliest

Solve the equation k/1.5=3

Answers

Answer:

4.5

:):)

:):)

:):)

Ishmael jobs around a track that is in the shape of a regular pentagon. One side of the pentagon is 1/4 of a mile long. How far does Ishmael jog if he completes 6 laps around the track?

Answers

Answer:

He would’ve ran 7 1/2 miles

Luigi uses 39 cups of flour for every 6 pizzas he makes.

Answers

Answer:

if you are dividing it would be

6.5 i think im not really sure though.

2/3 (m + 4) = 1/5 (3m+9)

Answers

[tex]\frac{2}{3} (m+4) = \frac{1}{5} (3m+9)[/tex]

[tex]\frac{2m+8}{3} = \frac{3m+9}{5}[/tex]

10m + 40 = 9m + 27

10m - 9m = 27 - 40

m = -13

Answer:

m = - 13

Step-by-step explanation:

2/3 (m + 4) = 1/5 (3m+9)

2/3m + 8/3 = 3/5m + 9/5

2/3m - 3/5m = 9/5 - 8/3

10/15m - 9/15m = 27/15 - 40/15

1/15m = - 13/15

m = - 13/15 / 1/15

m = - 13/15 * 15

m = - 195/15

m = - 13

Find x in this 45°-45°-90° triangle.
x=

Answers

Answer:

33

Step-by-step explanation:

because a triangle measure 90 degrees so you just subtract the amount that you add and got

Answer: 11 square root of 2

what is x in x + 4 = -x - 4

Answers

Answer: -4

Step-by-step explanation:

Answer:

x = - 4

Step-by-step explanation:

x + 4 = - x - 4

x + x = - 4 - 4

2x = - 8

x = - 8/2

x = - 4

What is the slope intercept for please help!

Answers

Answer:

y = -1/3 - 6

Step-by-step explanation:

its easy

The point (−6, a ) is on the line 3x − 5 y = 56 . Find a.

Answers

Answer:

(−6, a )

3x − 5 y = 56

3(-6) -- 5(a) = 56

--16 -- 5a = 56

--16 + 16 -- 5a = 56 + 16

--5a = 72

-5a / -5 = 72/-5

a = -14.4

Step-by-step explanation:

4.96X 10^6 = (x) (2x + 0.570)^2​

Answers

Answer: no solution

Step-by-step explanation:

Answer: x = -1113.83787 ; x = 1113.26787

Step-by-step explanation:

What is the volume of the box pictured below?

A rectangular prism of length 1 and 1 over 8 m, width 4 over 5 m, and height 5 over 6 m is shown.
fraction 2 over 3 cubic meter
fraction 3 over 4 cubic meter
fraction 9 over 10 cubic meter
fraction 15 over 16 cubic meter

Answers

Answer:

3/4 cubic meter

Step-by-step explanation:

1 1/8 x 4/5 x 5/6= 3/4

Write this number in standard form.

5.46×105=

Answers

Answer:

573.3

Step-by-step explanation:

just multiply it out

Answer:

5.733×10^2

Step-by-step explanation:

The question says you are to leave the answer in standard form not just only multiply which means you're to first multiply then you're supposed to bring a decimal point right after the first number and give the corresponding index which is 10^2 because you moved it twice to the left making it a positive index.

5.46×105

573.3

5.733×10^2

Which statements are true? Check all that apply. Based on both tables, there is no association between gender and enjoying dancing. Eve's table shows that those who enjoy dancing are likely girls. Bob's table shows that boys are likely to not enjoy dancing. The two tables will be identical since boys and girls have the same total number. The percentage of someone being a girl, given that the person enjoys dancing is lower than the percentage that someone enjoys dancing, given that the person is a girl.

Answers

Answer:

it's b c and e

Step-by-step explanation:

just took the test

Statements second statements third, and statement fifth is correct as per the conditional relative frequency table.

What is a relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the frequency cell by the total frequency.

As per the relative frequency table, the correct statements are:

Eve's table shows that those who enjoy dancing are likely girls. Bob's table shows that boys are likely to not enjoy dancing. The percentage of someone being a girl, given that the person enjoys dancing is lower than the percentage that someone enjoys dancing, given that the person is a girl.

Thus, statements second statements third, and statement fifth is correct as per the conditional relative frequency table.

Learn more about the conditional relative frequency here:

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can someone please help me put this in order

Answers

Answer:

camera D : 0.00087 ∠camera B : 0.00098∠camera C : 0.0011∠camera A : 0.0012

Step-by-step explanation:

if you rewrite in standard notation

camera A : 0.0012

camera B : 0.00098

camera C : 0.0011

camera D : 0.00087

Lucas made the list of all his assets and liabilities below. Highlight each item in
the box that is an asset.
.
• credit card balance: $2,576
checking account balance: $98.00
outstanding car balance: $12,500
• value of car: $22,800
jewelry: $1,750
student loan balance: $22,300
Based on the list above, what is Lucas's net worth?

Answers

Answer:

I got 12,148.  Is that an option?

Step-by-step explanation:

98.00 checking account

car (value - outstanding balance) 12,500

plus jewelry $1750

How many times larger is the volume of a cylinder if the height is doubled?

Answers

Answer:

times 4

Step-by-step explanation:

If you square a googol, how many zeros will the answer have? Show your reasoning.

Answers

Answer:

200 zeros

Step-by-step explanation:

1 googol is the number 1 followed by a hundred zeros, right? Right. Using 'Laws of Indices', for instance, 10^2=100, ie 10×10=100. The number of zeros will always be the sum of the number of zeros of the multiplier and multiplicand. More example, 100×100=10000. So, I think it's reasonable to say that 1 googol×1 googol= the number one followed by two hundred zeros ‍♀️

please help answer both questions

Answers

Answer:

1. $503.08

2. 5071

Step-by-step explanation:

1. Perimeter = (pi × r) + d

= (3.14 × 27/2) + 27

= 69.39

Cost: 69.39 × 7.25 = $503.0775

2. 17 × (pi × d)

17 × 3.14 × 95

5071.1 feet

Step-by-step explanation:

Step 1:  Answer the first question

Find the perimeter:  [tex]P = (\pi *r)+d[/tex]        But... let π be 3.14

[tex]P = (3.14 * \frac{27}{2}) + 27[/tex]

[tex]P = 42.39 + 27[/tex]

[tex]P = 69.39[/tex]

Find the price:  $7.25 per foot

[tex]7.25 * 69.39[/tex]

[tex]\[/tex][tex]503.0775[/tex]

Answer:  [tex]\[/tex][tex]503.0775[/tex]

Step 2:  Answer the second question

Find the amount traveled:  [tex]P = revolutions*\pi *d[/tex]          But... let π be 3.14

[tex]P = 17 * 3.14 * 95[/tex]

[tex]P = 53.38 * 95[/tex]

[tex]P = 5071.1[/tex]

Answer:  5071.1 feet

A little brown bat has eaten 1400 mosquitoes. It can eat 900 mosquitoes per hour. Let x be the number of hours it needs to hunt and eat 4100 mosquitoes.

Which equation could be used to solve for the number of hours?

Answers

1400/900 = x You can divide the 1400 total number of mosquitoes by 900, the number of mosquitoes it can eat per hour and you will find the value of x.

The Service Club is choosing members at random to attend conferences in Sheboygan, Madison, La Crosse, and Green Bay. There are 15 members in the club, how many ways can they choose someone to go to the Sheboygan conference, someone different for the Madison conference, someone else for La Crosse, and one last person for Green Bay? SHOW YOUR WORK.

Answers

Answer:

There are 32760 ways to pick the members

Step-by-step explanation:

For the first place you have 15 possibilities, since every member of the club is available. For Madison you will have only 14, since you cant pick the same member than the one you picked for Sheyoygan. For the same argument, you will have 13 possibilities available for La Crosse, and only 12 for Green Bay.

We have to pick a combination using the possibilities that we have, thus, you have to multiply all 4 possibilities toguether to find the amount of ways to choose members to attend the conferences. This means that you will have a total of 15*14*13*12 = 32760 possibilities in total.

Victor wants to earn high interest and keep his money in an account for a while. Which of these is most likely the best option for Victor? A a savings account B a checking account C no bank account D a check casher

Answers

Answer:

Option A

Step-by-step explanation:

Many banks offer a rate of interest when putting your money into a savings account. The interest will help grow your money over time. Make sure you 're shopping around and check what fees are involved-you don't want to wind up paying more fees than you get in interest.

Find the point-slope equation of the line using the point (1,2) and the slope of 3/2​

Answers

Point slope form: y - y1 = m(x - x1)

(x1, y1) = a point

m = slope

We are given:

(x1, y1) = (1, 2)

m = 3/2

Put into the original equation:

y - 2 = 3/2(x - 1)

Best of Luck!

Which number is a constant in the algebraic expression? Negative x squared minus 6 y + 13 x + 7 Negative 6 Negative 1 7 13

Answers

Answer:

7

Step-by-step explanation:

-x^2 -6y+13x+7

The constant is the term with no variable attached to it

7 is the constant

Answer:

7 is the constant

Step-by-step explanation:

because -x^2 -6y+13x+7

Can someone please help me find the area and perimeter of this shape? Thank you!

Answers

Answer:

136

Step-by-step explanation:

The area of the triangle is 24 the area of the rectangle is 112

Answer:

136

Step-by-step explanation:

first start with the triangle

to find the base, subtract 8 from 16

to find height subtract 7 from 13

.5(8)(6)

triangle = 24

the area of the rectangle is 16 * 7 = 112

add them both together to get

136

y = -2x - 5


6x + 3y = -15



A.one line


B.parallel lines


C.intersecting lines

Answers

Answer:

A. One line

Step-by-step explanation:

Let rearrange the system of equations into explicit forms:

[tex]y = -2\cdot x - 5[/tex]

[tex]6\cdot x + 3\cdot y = -15[/tex]

[tex]3\cdot y = -6\cdot x - 15[/tex]

[tex]y = -2\cdot x - 5[/tex]

The second equation is identical to the first one, which means that there is just one line.

One baseball team played 20 games throughout their entire season. If this baseball team
won 14 of those games, then what percentage of their games did they win? Round your
answer to the nearest whole number if necessary.

Answers

Answer:

70%

Step-by-step explanation:

The fraction of the game won is 14/20

Percent means out of 100

14/20 * 5/5 = 70/100

The percent is 70%

Mattie is making a collar for her dog. She needs to buy some chain, clasp, and a name tag. She wants the chain to be 40 cm long. On meter of chain costs $9.75. The clasp is $1.29 and the name tag is $3.43. How much will it cost to make the collar? Estimate to check if your answer is reasonable.

Answers

Answer: $8.62

Step-by-step explanation:

Mattie wants to make a collar for her dog. She needs to buy some chain, clasp, and a name tag. Mattie wants the chain to be 40 cm long. On meter of chain costs $9.75, the clasp is $1.29 and name tag is $3.43.

Since 100 centimeters = 1 metre. Mattie needs 40cm and 1 meter of chain costs $9.75, cost of the chain Mattie needs will be:

= 40/100 × 9.75

= 2/5 × 9.75

= $3.90

Chain(40cm) = $3.90

Clasp = $1.29

Name tag = $3.43.

Cost to make collar will be:

= $3.90 + $1.29 + $3.43

= $8.62

PLEASE HELP!!!
What is the solution to the inequality Three-fifths + y greater-than-or-equal-to StartFraction 11 over 15 EndFraction?

y greater-than-or-equal-to StartFraction 2 over 15 EndFraction

y greater-than-or-equal-to StartFraction 8 over 15 EndFraction

y greater-than-or-equal-to 1 and one-third

y less-than-or-equal-to 1 and one-third

Answers

Answer:

it is A

Step-by-step explanation:

i had the question on ed

Answer:

y greater - than - or - equal - to StartFraction 2 over 15 EndFraction

Step-by-step explanation:

Please help!! Someone said it was d.... and I think it’s either b or c..... now I am very confused :( giving 12-15 points!!
(Attached are pics of the question and answer choices)

Answers

Answer:

The answer is B, i hope this helped!

Find the unit rate:
Sandra picked 55 oranges in 5 minutes.

How many did she pick in one minute?

Answers

Answer:

11

Step-by-step explanation:

55/5=11

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