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
Valentin [98]
3 years ago
12

Which are sums of perfect cubes? Check all that apply.

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

a. 8x6 + 27

b. x9 + 1

d. x6 + x3

e. 29x9 + x12

I hope this helps you.

You might be interested in
What is the product of (2x+3) and (4x^2-6x+9)?​
gogolik [260]

Answer:

=8x^3+27

Step-by-step explanation:

First you are going to multply 2x by all of the other numbers in the 2nd parentheses, then do the same with 3. By doing this you should get and answer then combine like terms.

4 0
3 years ago
Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select tha
kkurt [141]

Answer:

A. =(9x-12)^2

Step-by-step explanation:

We need to determine whether the polynomial 81x^2-216x+144 can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

81x^2-216x+144

=9(9x^2-24x+12)

=9(9x^2-12x-12x+12)

=9(3x(3x-4)-4(3x-4))

=9(3x-4)(3x-4)

=9(3x-4)^2

=3^2(3x-4)^2

=(3(3x-4))^2

=(9x-12)^2

Hence choice A. =(9x-12)^2 is correct.

3 0
3 years ago
Read 2 more answers
What number must you add to complete the square x^2+2x=9
MAVERICK [17]

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x = 9

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1² = 9 + 1²

(x + 1)² = 10

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP…. THIS TEST IS MOST OF MY GRADE
Lemur [1.5K]

Answer:

The answer is D

Step-by-step explanation:

This is so because the opposite of a positive number is that number but negative. Hope this helps!

7 0
2 years ago
Read 2 more answers
In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and
timofeeve [1]

The complete question is:

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and chicken. Hamburgers cost $2 per pound and chicken costs $3 per pound. You have no more than $30 to spend.  You expect to purchase at least 3 pounds of hamburgers.  

  • Write a system of inequalities to represent this situation.
  • Graph the system of inequalities on the grid.
  • Give three possible combinations for buying hamburgers and chicken for your summer bash.

Justify your answers

Answer:

A) System of inequalities:

  • 2x + 3y ≤ 30
  • x ≥ 3
  • x ≥ 0
  • y ≥ 0

B) Graph: see the picture attached

C) Three possible combinations:

  • 3 pounds of hamburgers and 8 pounds of chicken
  • 3 pounds of hamburgers and 0 pounds of chicken
  • 15 pounds of hamburgers and 0 pounds of chicken

Explanation:

<u>A) Write the system of inequalities to represent this situaction.</u>

<u>1. Variables:</u>

  • x: number of pound of hamburgers
  • y: number of pound of chicken

<u>2. Costs:</u>

  • x pounds of hamburgers at $2 per pound: 2x
  • y: pounds of chicken at $3 per pound: 3y

  • total cost: 2x + 3y

<u>3. First constraint:</u>

  • You have no more than $ 30 to spend: means that the cost of what you buy can be at most (less than or equal to) $ 30.

  • 2x + 3y ≤ 30

<u>4. Second constraint:</u>

  • You expect to purchase at least 3 pounds of hamburgers: means that the number of pounds of hamburgers may be greater than or equal to 3.

  • x ≥ 3

<u>5. Additional constraints:</u>

  • Both, x and y cannot be negative: x, y ≥ 0

<u>6. System of equations:</u>

  • 2x + 3y ≤ 30
  • x ≥ 3
  • x ≥ 0
  • y ≥ 0

<u>B) Graph </u>

You have to graph all the constraints in a x-y coordinate system.

<u>1. To graph 2x + 3y ≤ 30 graph the line 2x + 3y = 30</u>

  • Choose the y-intercept and x-intercept.
  • x = 0 ⇒ 3y = 30 ⇒ y = 10 ⇒ point (0, 10)
  • y = 0 ⇒ 2x =30 ⇒ x = 15 ⇒ point (15, 0)
  • With two points you can draw the line
  • Clear y: y ≤ 10 - 2x/3. Since, the symbol is ≤ you shade the region below the line, and the line is included, so you draw it as as solid line.

<u>2. To graph x ≥ 3 just draw the vertical line x = 3 and shade the region to the right of it. The points of the line are included (solid line).</u>

<u>3. The constraints x ≥ 0 and y ≥ 0 </u>mean that the region is restricted to the first quadrant (including the positive axis).

<u>4. The feasible solutions</u> are the set of points inside the common regions (intersection).

With all that information the graph is the one attached. The feasible solutions is the region defined by the triangle with vertices (3,8), (3,0), and (15,0).

<u>C) Give 3 possible combinations.</u>

You can pick any three points inside the region, as long as the coordinates are integer numbers. For instance the 3 vertices are solutions:

  • (3, 8) ⇒ 3 pounds of hamburgers and 8 pounds of chicken
  • (3,0) ⇒ 3 pounds of hamburgers and 0 pounds of chicken
  • (15,0) ⇒ 15 pounds of hamburgers and 0 pounds of chicken

You could also prove that (5,4), 5 pounds of hamburgers and 4 pounds of chicken meet, the inequalities.

This is how you prove it:

  • 5 ≥ 0
  • 5 ≥ 3
  • 4 ≥ 0
  • 2(5) + 3(4) = 10 + 12 = 22 ≤ 30

And you can do the same for any pairs to verify whether they are solution or not.

7 0
3 years ago
Other questions:
  • F(n)=n^2+2n find f(-6)
    8·1 answer
  • Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure. The
    13·2 answers
  • Please only do 15 and 18 and pls explain.
    7·2 answers
  • If I have $40 and a cookie is $3. How many cookies can I get and how much money would I have left.
    8·2 answers
  • The sum of two numbers is 25. one number is twice the second number plus seven. what are the two numbers
    6·1 answer
  • When Ava sat down to read her book, she had already read 54 pages. Forty-five minutes later, she had read a total of 92 pages. L
    15·2 answers
  • Stuck on this one plz hel0​
    12·1 answer
  • A line with a slope of 0.20 passes through
    12·1 answer
  • I need help
    5·1 answer
  • Does someone mind helping me with this problem? Thank you!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!