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
Answer:
136
Step-by-step explanation:
Take 68 x 2 since the side lengths are equal.
Answer:
It rotates 50 times a second
Step-by-step explanation:
There is 60 seconds in a minute,so all you have to do is Divide 30,000 by 60 and you get 50!
I believe the answer is 3. Order of Operations is Parenthesis Exponents Multiplication and Division solve left to right and Addition and Subtraction solve left to right
Cost of basic car = $8250
Optional cost = $324
Total cost of basic car and optional items for John= (8250 + 324) dollars
= 8574 dollars
Then
Percentage of sales tax = 6%
Amount of sales tax = 8574 * (6/100) dollars
= 514.44 dollars
License and registration fee combined = $50
Then total cost of John in regards to buying the car = 8574 + 514.44 + 50
= 9138.44 dollars
So option "C" is the correct option in regards to the question given.