Answer:
y=28
Step-by-step explanation:
6x-y=2
-y=2-6x
y=6x-2
4x-(6x-2)=-8
4x-6x+2=-8
-2x=-10
x=5
y=6*5-2=30-2=28
y=28
This sequence starts with an initial set; let’s call it s1. This set contains 20 cans, and every set following would have two less cans than the last set. So,
s1=20
s2=s1-2=18
s3=s2-2=16
•
•
•
s9=s8-2=4
How many cans in the display represents the value of each set added together, so we can denote this as
s1+s2+s3+...+s9
and replacing with values:
20+18+16+...+4 = 108
The number of cans in the display equals 108.
(The set notation seems weird, but by practicing this application now, the Calculus version will seem easier.)
Answer:
The answer to your question is y = 4/6x - 4
Step-by-step explanation:
Data
m = 4/6
P (0, -4)
slope-intercept form = ? y = mx + b where m is the slope and
b is the y-intercept
Formula
y - y1 = m(x - x1)
Substitution
y - (-4) = 4/6(x - 0)
Simplification
y + 4 = 4/6x
Result
y = 4/6x - 4
slope = 4/6 y-intercept = -4
3.14(3(2) + 3(4))
3.14( 6 + 12)
3.14(18)
=56.52
