Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is
. In particular, the value we are looking for is
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to
.
Answer:
I don't know what you are saying for solve for x though if your saying simplify
simplify answer: -9
If 2(3x-6) = 3 (2x-1) answer: No solution
If 2(3x-6) = -3 (2x-1) answer: x = 1.25
Step-by-step explanation:
Answer:
9
Multiples of 3: 3,6,9,12
Multiples of 9: 9, 18, 27
The smallest of the multiples is 9
Step-by-step explanation:
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I believe that you want to know the number of rides that Katie can take.
Based on the information in the question, we can form an equation. Let the number of rides that Katie can take be represented by x. Therefore,
12 + (1.25 × x) = 50
12 + 1.25x = 50
1.25x = 50 - 12
1.25x = 38
x = 38/1.25
x = 30.4
Therefore, Katie can take at most 30 rides.