Answer:
For 3x + 2y = 6 , the x-intercept is 2 and the y-intercept is 3.
Answer:
The required recursive formula is

Step-by-step explanation:
Mohamed decided to track the number of leaves on the tree in his backyard each year.
The first year there were 500 leaves

Each year thereafter the number of leaves was 40% more than the year before so that means

For the third year the number of leaves increase 40% than the year before so that means

Similarly for fourth year,

So we can clearly see the pattern here
Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

This is the required recursive formula to find the number of leaves for the nth year.
Bonus:
Lets find out the number of leaves in the 10th year,

So there will be 10330 leaves in the 10th year.
Answer:
x = y
Step-by-step explanation:
x/3 + x/6 = 7/2
2x + x = 21
3x = 21
(divide 3 on both sides)
x = 7
2x-7y=18 _(1)
-2x+4y=5
11y=23 , Y=23/11 sub in 1
2x-7×23/11=18
2x = 18×11 + 7×23
x = ( 198 + 161 )/2 = 359/2
Answer:
Slope = 2/3 Y intercept +3
Step-by-step explanation:
Plot the y-intercept (0,+3) in the xy axis. Remember, this point always lies on the vertical axis y.
Starting from the y-intercept, find another point using the slope. Slope contains the direction how you go from one point to another.
The numerator tells you how much steps to go up or down (rise) while the denominator tells you how many units to move left or right (run).
Connect the two points generated by the y-intercept and the slope using a straight edge (ruler) to reveal the graph of the line.