The MODE is the number or numbers that occur most often in a set.
Answer:65.15
Step-by-step explanation:
Remember we can do anything to an equation as long as we do it to both sides
and adding a negative of something cancels it so
-2d+3=17+5d
isoltate unknown
add 2d to oth sides
3=17+7d
subtract 17 from both sides
-14=7d
divide 7
-2=d
Answer:
The given expanded sum of the series is 
Step-by-step explanation:
Given problem can be written as

To find their sums:
Now expanding the series
That is put n=5,6,7,8,9 in the given summation
![\sum\limits_{n=5}^{9}3n+2=[3(5)+2]+[3(6)+2]+[3(7)+2]+[3(8)+2]+[3(9)+2]](https://tex.z-dn.net/?f=%5Csum%5Climits_%7Bn%3D5%7D%5E%7B9%7D3n%2B2%3D%5B3%285%29%2B2%5D%2B%5B3%286%29%2B2%5D%2B%5B3%287%29%2B2%5D%2B%5B3%288%29%2B2%5D%2B%5B3%289%29%2B2%5D)
![=[15+2]+[18+2]+[21+2]+[24+2]+[27+2]](https://tex.z-dn.net/?f=%3D%5B15%2B2%5D%2B%5B18%2B2%5D%2B%5B21%2B2%5D%2B%5B24%2B2%5D%2B%5B27%2B2%5D)
(adding the terms)

Therefore 
Therefore the given sum of the series is 
The given expanded sum of the series is 
Answer:
y = - 2x + 6
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 ) = (1, 4 ) and (x₂, y₂ ) = (2, 2 )
m =
=
= - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 2 ) , then
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = - 2x + 6 ← equation of line