Answer:
x(x+5)/6
Step-by-step explanation:
If we know the cost of a ticket is $7, we can then write an equation in slope-intercept form for the amount it will cost to buy any amount of tickets.
If we denote x as the amount of tickets purchased, and c as the total cost, we can write the equation:

Since we can vary the amount of tickets purchased independently of the total amount, x (the amount of tickets purchased) will be the independent variable.
However, since y (the total cost) is directly dependent on the amount of tickets that are purchased, c is the dependent variable.
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:
31 degrees (the first one)
Step-by-step explanation:
90 degree angle,
90-59=31
(f-g)(x) is a shorthand way of saying that you need to get the difference of the two functions: f(x) and g(x). so essentially,
(f-g)(x) = f(x) - g(x)
= 5x+2 - (-3x+4)
= 8x-2
(f/g)(-2) = f(-2)/g(-2)
= -4/5 or -0.8
Hope this helps.