Let
x = number of tickets
y = cost
For each row, divide the cost over the number of tickets
Row one: y/x = 3/2 = 1.5
Row two: y/x = 6/4 = 1.5
Row three: y/x = 9/6 = 1.5
Row four: y/x = 12/8 = 1.5
Row five: y/x = 15/10 = 1.5
The constant of proportionality is 1.5
This means each ticket costs $1.50
The first one is A and the second one is B, hope this helps!!
Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
Answer:
2, 5, 9, 19
Step-by-step explanation:
Using the recursive formula f(n) = 2f(n - 2) + f(n - 1)
with f(1) = 2 and f(2) = 5
f(3) = 2f(3 - 2) + f(3 - 1)
= 2f(1) + f(2) = (2 × 2) + 5 = 4 + 5 = 9
f(4) = 2f(4 - 2) + f(4 - 1)
= 2f(2) + f(3) = (2 × 5) + 9 = 10 + 9 = 19
152.4cm. 2.54cm = 1in. 60in x (2.54cm/1in) = 152.4cm.
