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Rainbow [258]
3 years ago
5

What are the difference between polynomial long division and arithmetic long division?

Mathematics
2 answers:
OLEGan [10]3 years ago
5 0
Not much, other than that in polynomial long division you use variables and can have a variable and a number while in arithmetic long division you just have numbers
emmainna [20.7K]3 years ago
4 0

Answer:

The purpose of long division with polynomials is similar to long division with integers; to find whether the divisor is a factor of the dividend and, if not, the remainder after the divisor is factored into the dividend. The primary difference here is that you are now dividing with variables.

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There are a total number of 38 possible equally likely outcomes on a roulette wheel. Out of the 38 outcomes, there are 18 odd-nu
Andrews [41]

The probability of rolling an odd number is 9/19.

According to the statement

Total number of possible outcomes = 38

Odd numbered of outcomes = 18

Now we find the probability

Probability = possible outcomes / total outcomes

Probability = 18/38

Probability = 9/19

So, The probability of rolling an odd number is 9/19.

Learn more about PROBABILITY here brainly.com/question/24756209

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8 0
2 years ago
Suppose set A is the set of all U.S. states and set B is the set of all U.S. cities which are state capitals. Now, suppose the r
yarga [219]

Answer:

A

Step-by-step explanation:

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8 0
3 years ago
I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP
aivan3 [116]

Problem 61

The nth triangular number is

T(n) = n(n+1)/2

I'll rewrite this into

T(n) = 0.5n(n+1)

The triangular number right after this is

T(n+1) = 0.5(n+1)(n+2)

I replaced every n with n+1 and simplified

Let's see what we get when we add up the two expressions

T(n) + T(n+1)

0.5n(n+1) + 0.5(n+1)(n+2)

0.5n^2+0.5n + 0.5(n^2+3n+2)

0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1

n^2+2n+1

(n+1)^2

This shows that the sum of any two consecutive triangular numbers results in a square number

Here's a few examples

  • 0+1 = 1
  • 1+3 = 4
  • 3+6 = 9
  • 6+10 = 16
  • 10+15 = 25

Note each sum is a perfect square, which visually would plot out a square figure.

For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}

<h3>Answer: Square number</h3>

==========================================================

Problem 64

Let's say we go with n = 5.

This means,

T(n) = 0.5n(n+1)

T(n-1) = 0.5(n-1)(n-1+1)

T(n-1) = 0.5n(n-1)

T(5-1) = 0.5*5(5-1)

T(4) = 10

This says that when n = 5, the 4th triangular number is 10

Triple that result and add on n = 5

3*T(4) + n = 3*10+5 = 35

This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.

Through a bit of trial and error, you should find it's a pentagonal number

Pentagonal numbers are of the form n(3n-1)/2

If you plugged n = 5 into that, it leads to 35

n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35

The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)

<h3>Answer: Pentagonal number</h3>

8 0
2 years ago
A system of equations is graphed on the coordinate plane. y=−6x−3y=−x+2 What is the solution to the system of equations? Enter t
Mamont248 [21]
If you equate both, the y is eliminated:

-6x-3 = -x+2

Simplify this to find x:

-5x = 5
x = -1

Fill in x=-1 in either equation:

y = --1 + 2 = 3

So (-1,3) is the solution, it is where the lines intercept.
6 0
3 years ago
Read 2 more answers
The triangles are similar. what is the value of x? enter your answer in the box.
weqwewe [10]

Answer:

l*b*h is the answer of this question

8 0
2 years ago
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