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
denis-greek [22]
3 years ago
7

Q = x^3 â xGiven that x is a positive integer such that x ⥠75, which of the following is the remainder when Q is divided by 6?

Mathematics
1 answer:
geniusboy [140]3 years ago
4 0

Answer:

A) 0

Step-by-step explanation:

Given that

Q=x^{3}-x\\\\x(x^{2}-1)\\\\x(x+1)(x-1)

Divisor = 6 = 3*2

\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{6}\\\\\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{2 \times 3}\\

As it can be see that x ≥ 75 and Q is product of three consecutive terms (x-1), x, (x+1) which is always completely divisible by 2, 3 and 6. So remainder is zero

You might be interested in
What is 2. 3/6 +1/6 +1 2/3
Kaylis [27]
3/6+1/6+1 2/3
Make 1 2/3 into an improper fraction:
5/3
Give them all common denominators by multiplying both sides of 5/3 by 2:
10/6
Then the question becomes:
3/6+1/6+10/6
Now you add the numerators and the denominator stays the same:
14/6
Now you can simplify by dividing both sides by 2:
7/3
Now you can make it a mixed number:
2 1/3

Hope this helps :)
8 0
3 years ago
Read 2 more answers
A rectangular television screen has an area of w^2 + 2w square inches if the width of the television screen is w inches, what is
gregori [183]

 

The area of a rectangle is:

A =  length × width

A rectangular television screen has an area:

A = w² + 2w inches²

width = w

length = A / width  = (w² + 2w) / w = w(w + 2) / w = <u>w + 2</u>

Ansver:

<h2><u>length = w + 2</u></h2><h2><u></u></h2><h2><u></u></h2>
3 0
3 years ago
Anyone know how to do this?
Lera25 [3.4K]

Answer:

Part A) 25

Part B) 225

Step-by-step explanation:

Part A

The slope of the graph gives us the mile per gallon of the car.

Recall that the slope of the graph is rise over run.

m =  \frac{200}{8}  = 25

Therefore car gets 25 miles per gallon

Part B) Since we know the slope of the direct variation line, we substitute into y=kx to get:

y = 25x

To find the number of miles the car travels using 9 gallons, we substitute x=9 to get:

y = 25 \times 9

This gives us 225 miles

8 0
3 years ago
What is the volume of this triangular prism?
Liula [17]

Answer:

5676.16 cm^3

Step-by-step explanation:

The volume of any prism is given by the formula ...

V = Bh

where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...

B = 1/2·bh

where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.

Then the volume is ...

V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3

_____

You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.

4 0
4 years ago
Read 2 more answers
Please help with a math problem must show work.
Burka [1]

Answer:

B

Step-by-step explanation:

you watch you Tube

5 0
3 years ago
Read 2 more answers
Other questions:
  • 39.2 is what percent p of 112?
    8·2 answers
  • Dalia deposits $1,200 in an account that earns 5% interest per year compounded continuously. How much will the account be worth
    15·1 answer
  • List three numbers that are less then 66,100
    10·2 answers
  • Can someone explain this to me pls
    8·1 answer
  • In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
    6·1 answer
  • Simplify 12^3/12^7<br> A. 12^4<br> B 1/12^4<br> C 1/12^-4<br> D 12^10
    9·2 answers
  • HELP I'M REALLY BAD AT MATH! :D
    5·2 answers
  • What does the interior angles of a triangle sum up to be? Why?
    6·2 answers
  • What is 4(m + 6 please answer fast
    5·2 answers
  • Performance Matters
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!