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
nordsb [41]
2 years ago
6

What is an equivalent function to f(x)=(x-2)^3

Mathematics
1 answer:
atroni [7]2 years ago
3 0

Answer:

x^3-6x^2-4x-8

Step-by-step explanation:

First you would multiply (x-2) by itself (x-2) to get

x^2-2x-2x+4

then you would combine like terms

x^2-4x+4

Then you would multiply that by x-2

(x^2-4x+4)(x-2)

x^3-2x^2-4x^2-8x+4x-8

then you combine like terms

x^3-6x^2-4x-8

You might be interested in
Please help me how to figure this out I’m trying to figure out the area ASAP please
Natasha2012 [34]

Answer:

1230.88m^{2}

Step-by-step explanation:

Shown is one-fourth of a circle. Also, according to the picture, the radius is 28 meters.

The area for a whole circle is 2\pi r^{2}.

Using that information, we can find the area as if the circle was whole instead of just the fourth.

2(\pi)(28m)^2 = 2(3.14)(784m^{2} ) = 4923.52m^{2}

Now that we know the area of the whole circle, we just have to divide it by four to find the area of the fourth of the circle.

4923.52m^{2}  / 4 = 1230.88m^{2}

That means that the area of the shape shown is 1230.88m^{2}.

I hope this helps!

4 0
3 years ago
QUESTION
Lorico [155]
1. For this item we just refer to the prompt to know the conjectures of Ernest and Denise. According to Ernest, they should swim 1 kilometer on the first week then add 0.25km every week while Denise believes that they should swim 1 kilometer on the first week then add 0.5km every week.

2. Yes, these distances make an arithmetic sequence. It's because an arithmetic sequence is defined as a group of increasing or decreasing numbers where the difference between any two consecutive numbers is constant. This just means that every number has the same interval. In the case of their schedule, this is true.

3. For this item we just follow the descriptions of Ernest's and Denise's schedule in item number 1. For Ernest, we just keep adding 0.25 from 1 kilometer until we added it thrice. For Denise, we also keep adding a number thrice but this time it's 0.5 instead of 0.25.

Ernest's Schedule: 1, 1.25, 1.5, 1.75
Denise's Schedule: 1, 1.5, 2, 2.5

4. Here we are asked to determine a formula that will describe the schedules of Ernest and Denise. In the given formula a_{n}= a_{n-1}+d, a_{n} refers to the next term in the sequence, a_{n-1} refers to the previous term, while d refers to the common difference. In the recursive formula all we need is to insert the value of d to the equations.

Ernest: a_{n}= a_{n-1}+0.25
Denise: a_{n}= a_{n-1}+0.5

5. For this item we basically do the same thing but this time we are given another formula. Our formula is in the form a_{n}= a_{1}+(n-1)d where a_{n} is still the nth term of the sequence, a_{1} is the very first time, n is the number of terms, and d is the common difference. 

Ernest: a_{n}= 1.0+0.25(n-1)
Denise: a_{n}= 1.0+0.5(n-1)

6. In this item we will just basically substitute numbers to one of the equations that we've set up in item #5. For this we need Ernest's explicit formula first. To know how far they will be swimming on week 10, the number of elements (n) must be 10.

a_{10}= 1.0+0.25(10-1)
a_{10}= 1.0+0.25(9)
a_{10}= 1.0+2.25
a_{10}= 3.25

7. Here, we just do the same thing as item #6 but this time we will consider Denise's explicit formula. Since we are also asked how far the students will be swimming on week 10, the number of elements would also be 10 and this would also be our value for n.

a_{10}= 1.0+0.5(10-1)
a_{10}= 1.0+0.5(9)
a_{10}= 1.0+4.5
a_{10}= 5.5

8. The answer for this question is obvious. You would just need to look at the 10th element in Ernest's and Denise's sequences and tell whose schedule had more than or equal to 5 as an answer. Following Ernest's schedule, you will just get 3.5 kilometers on the 10th week so it's definitely a no. Denise's schedule, on the other hand, would get you to 5.5 kilometers on week 10 so her training schedule should be followed.
7 0
3 years ago
Determine whether 4 is a solution of the equation 9x+7=40.<br> Is 4 a​ solution?
Allisa [31]

Plug in 4 for x

9(4) + 7 = 40

36 + 7 = 40

43 ≠ 40

No, 4 is not a solution

hope this helps

5 0
3 years ago
Read 2 more answers
What is the slope of the line that contains the points (-1,2) and (3,3)?
Semmy [17]

Answer:

1/4

Step-by-step explanation:

To find the slope of a line from two points we use

m = (y2-y1)/(x2-x1)

m = (3-2)/ (3--1)

   = (3-2)/(3+1)

  =1/4

4 0
3 years ago
Read 2 more answers
Ya'll I'm desperate please answer this I really need to get it right.
IceJOKER [234]

Answer:

a. Indep. = x, and dependent equals f(x)

b. x impacts f(x)

f(-4)= -11

Step-by-step explanation:

hope this helped

4 0
2 years ago
Other questions:
  • A cylinder and a cone each have a radius of 3 cm. and a height of 8 cm. What is the ratio of the volume of the cone to the volum
    14·1 answer
  • 10.<br> 9. Solve the equation (x-2)(x+2) = 0<br> (4F)<br> A. 02,0<br> B. O-2, 2<br> C.O-2<br> D. 2
    14·1 answer
  • The base of a triangular prism is a right triangle whose legs are 7 cm and 24 cm. The height of the prism is 30 cm. What is the
    10·1 answer
  • 4 hours worked for $12; 7 hours worked for $28l
    13·1 answer
  • How would you prove lines parallel using this equation?
    7·1 answer
  • Multiplies to -2 adds to 6
    11·1 answer
  • Answer correctly / explain a little.
    12·2 answers
  • 14. The two triangles below are similar. What is the length, in inches, of DE?
    9·1 answer
  • You use a crowdfunding website to raise money. the website keeps 5% of each donation. Five of your friends each donate the same
    5·2 answers
  • Which radical expression is a rational number?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!