The two person will pay the same amount of money when they both watch 9 hockey games.
<h3>How to find the equation and use it to find cost?</h3>
A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. Therefore,
y = 99 + 3x
where
y = total cost
x = number of game
A second person pays $14.00 for a ticket to every game but doesn't buy programs. Therefore,
y = 14x
The number of games they will have the same amount is as follows:
99 + 3x = 14x
99 = 14x - 3x
99 = 11x
x = 99 / 11
x = 9
Therefore, they will have the same amount when they watch 9 games.
learn more on equation here: brainly.com/question/14058936
Answer:
2.6 or
Step-by-step explanation:
9d×10=240
÷10 ÷10
9d =24
÷9 ÷9
2.6 or 
Answer:
Using either method, we obtain: 
Step-by-step explanation:
a) By evaluating the integral:
![\frac{d}{dt} \int\limits^t_0 {\sqrt[8]{u^3} } \, du](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%5Cint%5Climits%5Et_0%20%7B%5Csqrt%5B8%5D%7Bu%5E3%7D%20%7D%20%5C%2C%20du)
The integral itself can be evaluated by writing the root and exponent of the variable u as: ![\sqrt[8]{u^3} =u^{\frac{3}{8}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bu%5E3%7D%20%3Du%5E%7B%5Cfrac%7B3%7D%7B8%7D)
Then, an antiderivative of this is: 
which evaluated between the limits of integration gives:

and now the derivative of this expression with respect to "t" is:

b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then

is continuous on [a,b], differentiable on (a,b) and 
Since this this function
is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:
