What we'll do is plug integer values from 1 to 12 into the expression 2*k+14 like shown below:
if k = 1, then 2*k+14 = 2*1+14 = 16
if k = 2, then 2*k+14 = 2*2+14 = 18
if k = 3, then 2*k+14 = 2*3+14 = 20
if k = 4, then 2*k+14 = 2*4+14 = 22
if k = 5, then 2*k+14 = 2*5+14 = 24
if k = 6, then 2*k+14 = 2*6+14 = 26
if k = 7, then 2*k+14 = 2*7+14 = 28
if k = 8, then 2*k+14 = 2*8+14 = 30
if k = 9, then 2*k+14 = 2*9+14 = 32
if k = 10, then 2*k+14 = 2*10+14 = 34
if k = 11, then 2*k+14 = 2*11+14 = 36
if k = 12, then 2*k+14 = 2*12+14 = 38
Add up the results:
16+18+20+22+24+26+28+30+32+34+36+38 = 324
The final answer is 324
Answer:y=0.6x-3.2
Step-by-step explanation: The equation of a line is (y-y0)=m*(x-x0). The slope (m) of the original line is 0.6 and must be the same slope for the new line. y0 and x0 are the coordinates of a point where the line passes through. x0=-3 and y0=-5.
Doing the maths:
(y+5)=0.6*(x+3)
y=0.6x+1.8-5
y=0.6x-3.2
Answer:
which is the last choice in the question
Step-by-step explanation:
Simplify
Using the fact that 
We get
So
Multiplying numerator and denominator by 
gives
= ANSWER
Hint:
We can eliminate first choice since negative exponents still remain
We can eliminate third choice because the expression has a minus sign which is not possible
That just leaves second and fourth choices to work with
Your answer is 0.40 ......................
