There are 109 terms in given series.
According to the statement
we have given that the sum of series is AP series and
This is 19 20.5 22 23.5 ... 181
And the sum of series is 10,900
Now, we have to find the number of terms in the series.
Then we use the summation formula which is
S = n/2 (a + L)
Substitute the all given values in it like
L = 181
A = 19 and S= 10,900
then
10,900= n/2(19+181)
10,900= n/2(200)
After solve the equation for n
10,900= 100n
n = 10,900 / 100
n = 109
There are 109 terms in given series.
So, There are 109 terms in given series.
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Y=6x+1
y=6(5)+1
y=30+1
y=31
D. (5, 31)
hope this helps!
Answer:
This is actually pretty easy just find the intersecting points from the lines
Number of solutions: 2
What are the solutions: (4,5) and (0,-3)
Distribute each term in one parenthesis to the other terms in the other parenthesis.
(x - 2) (2x + 3)
First, distribute x. When distributing, multiply
x(2x) = 2x²
x(3) = 3x
Next, distribute the other term, -2. Remember to change the signs.
-2(2x) = -4x
-2(3) = -6
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2x² + 3x - 4x - 6
Combine like terms
3x - 4x = -x
2x² - x - 6
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2x² - x - 6 is your answer
hope this helps
8 - {x - (5 + x)}
= 8 - {x - 5 - x}
= 8 + 5
= 13
