MATHEMATICS MIDDLE SCHOOL

Solving a polynomial equation by factoring 36d^3-121d=0

Answers

Answer 1

Answer:

For this case we must factor the following equation:

$36d ^ 3-121d = 0$

It is observed that both terms contain the variable "d", so we can take it out as a common factor:

$d (36d ^ 2-121) = 0$

On the other hand, we look for the factors of 36 and 121:

36: 1,2,3,4,6,9,12,18,36

121: 1, 11,121

The greatest common factor between both numbers is 1.

Thus, the expression is factored as:

$d (36d ^ 2-121) = 0$

Thus, one of the roots of the polynomial is 0.

$36d ^ 2-121 = 0\n36d ^ 2 = 121\nd ^ 2 = \frac {121} {36}\nd = \pm \sqrt {\frac {121} {36}}\nd = \pm \frac {11} {6}\n$

Answer:

$d (36d ^ 2-121) = 0\nd_ {1} = 0\nd_ {2} = \frac {11} {6}\nd_ {3} = - \frac {11} {6}$

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a box of marbles can be shared equally among 6,7,or 8 students with 4 marbles left over each time.what is the least possible number of marbles In the box?

Answers

If there are 4 marbles left over each time, then we can forget about them for now.

So the question is, what is the smallest number than can be divided into 6,7 and 8?

the numbers have only one non-1 divisor in common: both 6 and 8 are divisible by 3.

so for our purposes we can "delete" one 2 and ask:

what is the smallest number than can be divided into 3,7 and 8 ?

There are no more divisors in common, so we just have to multiply them: 3*7*8=21*8=168

and the 4 marbles "extra"? We add them to this sum.

the the smallest possible number in the box is 168+4=172.

Solve the system of equations.

x-4y=5
x=3y-2

(__,__)

Answers

sub 3y-2 for x
3y-2-4y=5
-2-y=5
-y=7
y=-7
x=3y-2
x=3(-7)-2
x=-21-2
x=-23

(-23,-7)

What is 5.6 divided by 4.48

Answers

1.25 is the answer....

5.6/4.48=1.25 1.25 is the answer

I need help!!! what is the highest common factor of 30 and 60?

Answers

I thought it was 10 because 10 x 3 and 10 x6 but it is 2

The Greates Common Factor (GCF) is: 2 x 3 x 5 = 30

Suppose Richard walks 1 kilometer every 10 minutes. How many meters further can he walk in 1 hour at this new rate?

Answers

Richard walks
1 kilometer : 10 minutes

That would mean

6 kilometers : 60 minutes

Hope that helps and correct me if I'm wrong!

Please Help me! Thanks :)

Answers

A would be a function because x has no repeating numbers

Answer:

Ig A

Step-by-step explanation:

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