A. Yes you are correct that the gradient at any point is 3/(3x-1). However at point P it would be 3/(3*2-1)=2/5
b. The gradient of the normal would therefore be -5/2
We can use the general formula of an equation to get y-ln(5)=-5/2 (x-2)
Now multiply both sides by 2 to get:
2y-2ln(5)=-5x+10
Now when it crosses the x axis we know that y=0 therefore:
5x=10+2ln(5)
Therefore:
x=2+2/5 ln(5) when y=0
You could find an estimate of this number to be 2.64 (3sf) but this might not be sufficient
Total amount = 1 x 10 + 3 x 5 = $25
Amount spent = $9.30 + $4.20 = $13.50
Amount left = $25 - $13.50 = $11.50
Answer: $11.50
Answer:
3:12, 5:50, 7:14, 11:22
Step-by-step explanation:
All these numbers are multiples of each other. They are also divisible by each other. 12 is divisible by 3, 50 is divisible by 5, 14 is divisible by 7, and 22 is divisible by 11.
Hope this helps.
35.8 inches per day because if you convert 91 cm you will get about 36 inches per day.
