Let S be the sum,
S = 2 + 4 + 6 + ... + 2 (n - 2) + 2 (n - 1) + 2n
Reverse the order of terms:
S = 2n + 2 (n - 1) + 2 (n - 2) + ... + 6 + 4 + 2
Add up terms in the same positions, so that twice the sum is
2S = (2n + 2) + (2n + 2) + (2n + 2) + ... + (2n + 2)
or
2S = n (2n + 2)
Divide both sides by 2 to solve for S :
S = n (n + 1)
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m =
=
= - 4
The line crosses the y- axis at (0, 0) ⇒ c = 0 , then
y = - 4x + c , that is
y = - 4x → A
is a irrational number; whatever you do to a irrational number except subtract itself or divide by itself or a multiple of itself will always result in another irrational number.
Answer:
47 weeks
Step-by-step explanation:
you multiply 20 times 5 because he makes 5 dollars and hour and works 20 hours a week, so then you get 100. so he makes 100 dollars in a week. then you divide 100 by 4650 and get 46.5 which rounded up is 47. so he needs to work 47 weeks.
Answer:
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Step-by-step explanation:
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