How fast is the train going if it can travel 100 miles in 30 minutes?
1 answer:
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The sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176
<h3>How to determine the sum of the series?</h3>The series is given as:
6 8 10 12 14 16 18 20 22 24 26
The above series is an arithmetic series with the following parameters:
First term, a = 6
Last term, L = 26
Number of terms, n = 11
The sum of the series is calculated using:
This gives
Evaluate
Hence, the sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176
Read more about arithmetic series at:
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The complete question in the attached figure
we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2
point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2
the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2
therefore
the answer is the option
<span>C) f(x) = 2(x + 1)2 + 2</span>
we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2
point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2
the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2
therefore
the answer is the option
<span>C) f(x) = 2(x + 1)2 + 2</span>