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1 answer:
Answer:
15 terms
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 20 - 10 = 30 - 20 = 10
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = 10 with = 150 , then
10 + 10(n - 1) = 150 ( subtract 10 from both sides )
10(n - 1) = 140 ( divide both sides by 10 )
n - 1 = 14 ( add 1 to both sides )
n = 15
The number of terms is 15
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<h2>Answer:</h2>
Graph C
<h2>Step-by-step explanation:</h2>This is a piecewise-defined function because it is defined by two equations over a specified domain and this domain is . The first function comes from the pattern of the square root function
and the second one is a linear function.
The graph of has been shifted one unit to the left of
and stretched vertically where each y-value is multiplied by 3.
Moreover, we can prove that:
The graph of passes through points (0,3) and (3,6):
It passes through these points.
The graph of passes through points (5,0) and (3,2):
It passes through these points.
____________________
<h3>Finally, the graph is shown bellow and matches Graph C.</h3>