Y-1=2(x+3) just plug into the formula
Step 1: Subtract 3x from both sides.
−x+7=−52
Step 2: Subtract 7 from both sides.<span><span><span><span>
−x</span>+7</span>−7</span>=<span><span>−52</span>−7</span></span><span><span>
−x</span>=<span>−59</span></span>
Step 3: Divide both sides by -1.<span><span><span>
<span><span>−x</span><span>−1</span></span></span></span>=<span><span><span><span>−59</span><span>−1</span></span></span></span></span><span>
x=59</span>
The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula 
, equivalent to the <em>recurrence</em> formula 
.
<h3>What is the missing element in a sequence?</h3>
A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:
(1)
Now we prove that given expression contains the pattern:
n = 0
7
n = 1
7 + (- 1)² · 2² = 7 + 4 = 11
n = 2
7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2
n = 3
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18
n = 4
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7
The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula , equivalent to the <em>recurrence</em> formula .
To learn more on patterns: brainly.com/question/23136125
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Answer:
<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of letters of the word "millennium" = 10
Letters repeated:
m = 2 times
i = 2 times
l = 2 times
n = 2 times
2. The number of different ways that the letters of millennium can be arranged is:
We will use the n! or factorial formula, this way:
10!/2! * 2! * 2! * 2!
(10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(2 * 1) * (2 * 1) * (2 * 1) * (2 *1)
3'628,800/2*2*2*2 = 3'628,800/16 = 226,800
<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>
Yes but it dose depend on the problem
