I got 75582.
Explanation:
First, group the 40 identical candies into 20 pairs. It doesn't matter how since the candies are identical. This grouping will ensure that any assigment will contain at least two candies.
Then think of the 20 groups a 20 beads on a string. We are looking to place 11 separators between them to obtain 12 segments, each with a varying number of beads between them. How many ways are there to place 11 separators to 19 potential spaces between beads? The asnwer is
Answer:
Yes, they are equivalent
Step-by-step explanation:
Equivalent fractions are equal in value to each other. The only difference is that 9/2 is an improper fraction while 4 1/2 is a mixed number. In decimal, they both equate to 4.5
Answer:
A
Step-by-step explanation:
You basically just factor out the equation using FOIL. You start with the First term 2x and multiply that by 3x. Next, you multiple the 2x with the Outer term which is 5. Then, you multiply the Inner terms 3x and -1 to get -3x. lastly, you use the 5 and -1 and multiply them with each other. The solution would be 6x^2+7x-5 when you combine like terms.
Hope this helps!
Answer:
- A(1) = -4
- A(n) = A(n - 1) - 6
Step-by-step explanation:
<h3>Given</h3>
- AP with the explicit formula A(n) = 8 - 6(n - 1)
<h3>To find </h3>
<h3>Solution</h3>
<em>Recursive formula is the formula A(n) = A(n - 1) + d</em>
<u>Based on the explicit formula we have:</u>
- A(n) = 8 - 6(n - 1) = 8 - 6n + 6 = 2 - 6n
- A(n - 1) = 2 - 6( n - 1) = 2 - 6n + 6 = 8 - 6n
<u>The common difference is:</u>
- d = A(n) - A(n - 1) = 2 - 6n - (8 - 6n) = 2 - 6n - 8 + 6n = - 6
<u>The first term is:</u>
- A(1) = 2 - 6(1) = 2 - 6 = -4
<u>So the recursive formula is:</u>
- A(1) = -4
- A(n) = A(n - 1) - 6