<h2><u>Part A:</u></h2>
Let's denote no of seats in first row with r1 , second row with r2.....and so on.
r1=5
Since next row will have 10 additional row each time when we move to next row,
So,
r2=5+10=15
r3=15+10=25
<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>
r1=5=5+0=5+0×10=5+(1-1)×10
r2=15=5+10=5+(2-1)×10
r3=25=5+20=5+(3-1)×10
<u>So for nth row,</u>
rn=5+(n-1)×10
Since 5=r1 and 10=common difference (d)
rn=r1+(n-1)d
Since 'a' is a convention term for 1st term,
<h3>
<u>⇒</u><u>rn=a+(n-1)d</u></h3>
which is an explicit formula to find no of seats in any given row.
<h2><u>Part B:</u></h2>
Using above explicit formula, we can calculate no of seats in 7th row,
r7=5+(7-1)×10
r7=5+(7-1)×10 =5+6×10
r7=5+(7-1)×10 =5+6×10 =65
which is the no of seats in 7th row.
A costumer bought some potting soil for $12.50 and 6 shrubs.
If the total bill was $71.00, you can calculate how much did each shrub cost if they all cost the same:
$71.00 - $12.50 = $58.5
$58.5 / 6 shrubs = $9.75
Result: Each shrub cost $9.75.
Answer:
The answer is -2
Step-by-step explanation:
-6 means you go on the left and then you subtract -2 which means go backward 2 Soooo you got the right answer.
Answer:
(2,5)
Step-by-step explanation:
It's the coordinates of the point where the lines cross
PART A:
The x-intercept at 0 shows the location where the ball was kicked. The x-intercept at x = 16 shows the location where the ball hit the ground.
The maximum value represents the highest point of the ball.
The interval where the function is increasing is 0<x<8. Between this interval, the height of the ball measured from the ground is increasing.
The interval where the function is decreasing is 0<x<16. Between this interval, the height of the ball is decreasing.
PART B:
Reading from the graph
When x = 8, y = 10 ⇒ let this be x₁ = 8 and y₁ = 10
When x = 13, y = 6 ⇒ let this be x₂ = 13 and y₂ = 6
The rate of change = (y₂-y₁) / (x₂-x₁)
The rate of change = (6 - 10) / (13 - 8)
The rate of change = -4 / 5 = -(4/5)
