Answer:
9/12 14/12
Step-by-step explanation:
Answer:
As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:
1st term: 2 = 2(1)
2nd term: 4 = 2(2)
3rd term: 6 = 2(3)
4th term: 8 = 2(4)
Additional terms:
5th term: 10 = 2(5)
6th term: 12 = 2(6)
7th term: 14 = 2(7)
8th term: 16 = 2(8)
Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
The formula of a slope:
We have two points (-5, -1) and (6, -5). Substitute:
Put the value of a slope and coordinates of a point to the equation of a line:
Answer:
The probability that a student in this survey says something other than that he or she needs a vacation is:
= 58%.
Step-by-step explanation:
The probability of the teens at the local high school in Oregon who said that they needed a vacation = 42%,
Therefore, the probability that a student in the same survey says something other than that he or she needs a vacation must be 58% (100% - 42%).
Probability calculates the frequency of the occurrences of an event.
The quadratic equation that has a vertex at (4,-3) and passes through (6,-1) is given by:
y = 0.5(x - 4)² - 3.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (4,-3), hence:
h = 4, k = -3.
The equation is:
y = a(x - 4)² - 3.
When x = 6, y = -1, hence we use it to find the leading coefficient a as follows:
-1 = a(6 - 4)² - 3
4a = 2.
a = 0.5.
Hence the equation is:
y = 0.5(x - 4)² - 3.
More can be learned about quadratic equations at brainly.com/question/24737967
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