Given equation is
We can solve it by subtracting 1/4 both side
So
On comparing x = 3.
SO the solution of equation is x = 3
Answer:
<em>The polygon area is </em>
<em />
Step-by-step explanation:
Points:
(2,7), (8,2), (6,11), (6,5), (11,6)
1. The area of the polygon could be calculate with the eqation:
![A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%26y_%7B1%7D%5C%5Cx_%7B2%7D%20%26y_%7B2%7D%5C%5Cx_%7B3%7D%20%26y_%7B3%7D%5C%5Cx_%7B4%7D%20%26y_%7B4%7D%5C%5Cx_%7B5%7D%20%26y_%7B5%7D%5Cend%7Barray%7D%5Cright%5D)
2. Replace the coordinates in equation for A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D)
3. Solve the determinant, and calculate A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B%286%29%287%29%2B%2811%29%2811%29%2B%288%29%286%29%2B%286%29%282%29%5D-%5B%282%29%2811%29%2B%286%29%286%29%2B%2811%29%282%29%2B%288%29%285%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B42%2B121%2B48%2B12%5D-%5B22%2B36%2B22%2B40%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B223%5D-%5B120%5D%5C%5C%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B103%5D%3D51%2C5%20U%5E%7B2%7D)
<em>The polygon area is </em><em />
Answer:
The answer is "It has the same domain as the function f(x) = --x".
Step-by-step explanation:
If we consider its parent function that is: y= x
Domain function is: 
The range function is: 
The function has both the same (domain and range).
Answer:
a) y = 9x
b) For every increase of 1 hour the price to rent the lane increases by $9.
c) $27
Step-by-step explanation:
a) Since it costs $18 for 2 hours we can infer that for every 1 hour it costs $9.
So, the equation would look like this:
y = 9x
b) In this context, for every increase of 1 hour the price to rent the lane increases by $9. Like the question gave us, the price for 2 hours cost $18.
c) Plug 3 into the equation:
y = 9(3)
y = 27
Therefore, it costs $27 to rent the lane for 3 hours.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
