For this problem all it looks like you have to do is multiply 30,000 by 81 to get the total attendance for the 81 home games. Forgive me if I'm wrong but I hope this helps. The answer is 2430000
Answer:
The correct answer is: ![y=\frac{1}{3} x + 20](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%2020)
Step-by-step explanation:
As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.
However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.
Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:
![x_{toll\_road}=\frac{1}{3}x](https://tex.z-dn.net/?f=x_%7Btoll%5C_road%7D%3D%5Cfrac%7B1%7D%7B3%7Dx)
<em>Without considering Ken getting late, </em>the equation would become the following:
--- (A)
<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).
In this case, it's 20 minutes; therefore, the equation (A) will become:
![y=\frac{1}{3} x+20](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%20x%2B20)
Hence, the correct answer is
.
Answer:
The area of a triangle is: A = 23.2 cm²
Step-by-step explanation:
Given
a = 10 cm
b = 9 cm
The angle ∠C = 31°
To determine
Area of the triangle
Using the formula to determine the area of the triangle
Area = 1/2bc sin C
substituting a = 10, b = 9, and m∠C = 31°
Area = 1/2 × 9 × 10 × sin 31°
Area = 1/2(90) sin 31°
Area = 45 × sin 31°
Area = 23.2 cm²
Therefore, the area of a triangle is: A = 23.2 cm²
check the picture below.
so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².
now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,
![\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cstackrel%7Blength%7D%7B%2820%2B2x%29%7D%5Cstackrel%7Bwidth%7D%7B%2810%2B2x%29%7D%3D200%2B216%5Cimplies%20%5Cstackrel%7BFOIL%7D%7B4x%5E2%2B60x%2B200%7D%3D200%2B216%20%5C%5C%5C%5C%5C%5C%204x%5E2%2B60x%3D216%5Cimplies%20%5Cstackrel%7Bdividing~by~4%7D%7Bx%5E2%2B15x%3D54%7D%20%5C%5C%5C%5C%5C%5C%20x%5E2%2B15x-54%3D0%5Cimplies%20%28x%2B18%29%28x-3%29%3D0%5Cimplies%20x%3D%20%5Cbegin%7Bcases%7D%20-18%5C%5C%20%5Cboxed%7B3%7D%20%5Cend%7Bcases%7D%20)
notice, it cannot be -18, since is a positive length unit.
The function f(x) = -3; the value of x is not defined as the function is independent of 'x'.
<h3>What is defined as the independent function?</h3>
The independent variables are function inputs, while the dependent variables are function outputs.
- The value of the a dependent variable is determined by the input.
- The independent variable, on the other hand, is unrelated to anything; it is simply whatever you want to put in!
- The connection between the dependent as well as independent variables can be investigated.
- We can openly manipulate independent variables by trying to plug in any input value.
- In most math problems, we consider x to be the independent variable because it is the one we generally change.
- On a graph, we generally plot the independent variable just on horizontal axis (which we also call the x-axis).
For the given question;
The given function is;
f(x) = -3
To find the value of x, which is to be substituted in the function to find f(x).
But as there is no x value present for the function, the function f(x) is said to be independent function.
To know more about the independent variable, here
brainly.com/question/28144505
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