Answer:
The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2
The rule of arithmetic sequence = a + d(n - 1)
Where a is the first term and n is the number of terms
So, for the even numbers between 0 and X
The first term = a = 0
d = 2
So, we need to find n at the last term which is X
∴ X = 0 + 2 ( n -1 )
∴ n - 1 = X/2
∴ n = X/2 + 1
The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)
Substitute with a and d and X
So, the sum = (n/2) * (2*0 + (n−1)*2)
= (n/2) * ((n−1)*2)
= n(n-1)
= (X/2 + 1) * (X/2)
= X/2 by (X/2 + 1)
So, The quick way to add all even numbers between 0 and X always works.
Answer:
Brian made $1,850
Step-by-step explanation:
To find out how much Brian made in profit, we need to subtract the total amount from the expenses.
3,500 > total
-1,750 > expenses
————
1,850 > his profit or how much he made after paying off his expenses
Hope this helps!
5000 rounded to the nearest hundredth is 5000
Step-by-step explanation:
what do you need to do ? draw the line ? or find some intercepts on the x- or y-axis ? or ?
in any case it is important to bring this into the typical line equation form :
y = ax + b
so,
-4x = -1 + y
we leave y alone on one side
y = -4x + 1
to draw the line you need 2 points.
so, let's find some.
one typical choice is x = 0.
then y = -4×0 + 1 = 1
so, P1 = (0, 1)
and then e.g. let's pick x = 1
then y = -4×1 + 1 = -4 + 1 = -3
so, P2 = (1, -3)
there you have it
mark the two points on the coordinate graph, then take a ruler and draw the line all the way from top left to bottom right so that it goes through the two points.
Do you have photos for the triangle?