The 30th term of this sequence would be 248
First you need to give both fractions a common denominator lets say 40. So N would be 8/40 and Z would be 35/40, so Z collected more than N. All together they collected 43/40 which simplifies to be 1 and 2/40 which would again simplify to 1 and 1/20.
The solid line indicates that the line itself is included in the solutions. That the shaded area is to the left, or under, the line means that y≤the line.
To find the equation of the line you first find the slope or m using any two points.
m=(y2-y1)/(x2-x1) in this case you are given (2,-5) and (-2, 3) so
m=(3--5)/(-2-2)
m=8/-4
m=-2
So far for y≤mx+b we have:
y=-2x+b using either point we can solve for b, I'll use (2,-5)
-5=-2(2)+b
-5=-4+b
-1=b
So the line is:
y=-2x-1 and since y≤ the line:
y≤-2x-1
Answer:
14 days
Step-by-step explanation:
Amount earned by gardener for each day worked = $60
Amount paid by gardener for each day when absent = $15
Total number of days = 20
Let the total number of days when the gardener was working = x
Then he was absent for (20 - x) days.
Total amount earned during this period = $750
Then,
=>
=> \[75x = 1050\]
=> x = 14
So the gardener worked for 14 days out of 20.