1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentina_108 [34]
1 year ago
9

2x³-8=0 How do I solve this problem ?

Mathematics
1 answer:
wlad13 [49]1 year ago
5 0

Answer:

x=2^{\frac{2}{3}}

Step-by-step explanation:

1) Add 8 to both sides.

<em />2x^3=8

2) Divide both sides by 2.

x^3=\frac{8}{2}

3) Simplify \frac{8}{2} to 4.

x^3=4

4) Take the cube root of both sides.

x=\sqrt[3]{4}

5) Rewrite 4 as 2².

x=\sqrt[3]{2^2}

6) Use this rule: {({x}^{a})}^{b}={x}^{ab}.

x=2^{\frac{2}{3}}

Decimal Form: 1.587401

__________________________________________

Check the answer:

2x^3-8=0

1) Let x=2^\frac{2}{3}.

2(2^{\frac{2}{3} })-8=0

2) Use this rule: (x^a)^b=x^{ab}.

2\times2^{\frac{2\times3}{3} } -8=0

3) Simplify 2 * 3 to 6.

2\times2^{\frac{6}{3} } - 8  =0

4) Simplify 6/3 to 2.

2\times2^2-8=0

5) Use Product Rule: x^ax^b=x^{a+b}.

2^3-8=0

6) Simplify 2^3 to 8.

8 - 8 = 0

7) Simplify 8 - 8 to 0.

0 = 0

Thank you,

Eddie

You might be interested in
What is 9+10 in mathematics
MrRa [10]

Answer: 21

Step-by-step explanation:

6 0
3 years ago
The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between x(height) and y(arm span) is sho
abruzzese [7]

Answer:

27.385 cm longer would we expect Mike's arm span to be than George's.

Step-by-step explanation:

We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:

y= 4.5x + 0.977 x

where y= arm span

and x= height

Given:

Mike's height=x = 175 cm

so Mike's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (175) + 0.977* (175)

                                    = 787.5 + 170.975

                                    = 958.475 cm

George's height = x = 170 cm

so George's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (170) + 0.977* (170)

                                    = 765 + 166.09

                                    = 931.09 cm

Mike's arm span longer than George's = Mike's arm span - George's arm span

                                                                 = 958.475 - 931.09

                                                                 = 27.385 cm.

8 0
3 years ago
Soap films and bubbles are colorful because the interference conditions depend on the angle of illumination (which we aren't cov
mylen [45]

Answer:

56.39 nm

Step-by-step explanation:

In order to have constructive interference total optical path difference should be an integral number of wavelengths (crest and crest should be interfered). Therefore the constructive interference condition for soap film can be written as,

2t=(m+\frac{1}{2} ).\frac{\lambda}{n}

where λ is the wavelength of light and n is the refractive index of soap film, t is the thickness of the film, and m=0,1,2 ...

Please note that here we include an additional 1/2λ phase shift due to reflection from air-soap interface, because refractive index of latter is higher.

In order to have its longest constructive reflection at the red end (700 nm)

t_1=(m+\frac{1}{2} ).\frac{\lambda}{2.n}\\ \\ t_1=\frac{1}{2} .\frac{700}{(2)*(1.33)}\\ \\ t_1=131.58\ nm

Here we take m=0.

Similarly for the constructive reflection at the blue end (400 nm)

t_2=(m+\frac{1}{2} ).\frac{\lambda}{2.n}\\ \\ t_2=\frac{1}{2} .\frac{400}{(2)*(1.33)}\\ \\ t_2=75.19\ nm

Hence the thickness difference should be

t_1-t_2=131.58-75.19=56.39 \ nm

7 0
3 years ago
If a relationship can be written as s=−5+2t, how does s change if t is increasing
Alenkinab [10]
S would also increase if t is being increased
3 0
3 years ago
Read 2 more answers
Replace * with a monomial in such a way, that the trinomial becomes a perfect square. *+12x+1
Mrrafil [7]

Answer: * = 36x^2

Note: Im guessing you're here for rsm struggles. That's how I found this question. I searched the web for the answer to this rsm problem, but I couldnt find it. I was happy to find this brainly link, but annoyed to find it was unanswered. I did the problem, and now i'll help future rsm strugglers out. Thanks for posting this question.

Step-by-step explanation:

Ok, so we know that trinomials like this are squares of binomials. this in mind, we know that it can also be written as (x+y)^2. (also brainly's exponents feature used to be better, if the exponents are confusing you, comment.) Using the (x+y)^2 equation, you know that by simplifying it, you get x^2+2xy+y^2. Basically we're looking for x^2. Using the middle term, 2xy, or 12x in this equation, we can find x. since we know the square root of 1 is 1, we know 12=2x. This is kinda confusing, but basically since the answer is 6, we know that the x-term is 6x. We square 6x and get 36x^2. guaranteed to work on the rsm student portal, i'm in rsm and i just answered this question.

Hope this helps! Also, im not usually too active on brainly unless im looking for HW answers, so if you understand this explanation and you see a confused comment, help out a friend and answer it. Happy holidays!

4 0
2 years ago
Other questions:
  • in a group of 1,200 adults, there are 300 vegetarians. what is the ratio of nonvegetarians to vegetarians in the group?
    9·1 answer
  • X+y= -6 ?<br> A(y=3x -1 B(y=-x+3 C( y=-x- 6 D(y =-6x -1
    13·1 answer
  • How do i find the area of this regular hexagon? picture is included
    13·1 answer
  • PLEASE SEND ASAP!
    5·1 answer
  • HAPPY SUNDAY!
    10·1 answer
  • Express 2 as a fraction <br><br> a) 8/4<br> b) 2/2<br> c) 8/2<br> d) 12/4
    7·1 answer
  • (5.2x + 36.4x + 52)/ (2.6x +13)
    13·1 answer
  • Least to greatest. 205, -20, -5, 50
    13·2 answers
  • For a Brainlist !!!!!!!
    11·1 answer
  • Anyone mind helping!?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!