The area of the shaded region would be 64m²
X is the variable used in place of the building's height. I apologize if you can't read my hand writing very well.
At 9 games they will have paid the same amount. 111.06 plus 9 times 2.50 is equal to 14.84. I just did the equation (111.06+2.50x=14.84x).
Answer:
Options (2), (4) and (6)
Step-by-step explanation:
Given system of equations is,
f(x) = x² - 5x + 7
g(x) = 2x + 1
By equating both the functions,
f(x) = g(x)
x²- 5x + 7 = 2x + 1
x² - 5x - 2x + 7 - 1 = 0
x² - 7x + 6 = 0
x² - 6x - x + 6 = 0
x(x - 6) - 1(x - 6) = 0
(x - 1)(x - 6) = 0
x = 1, 6
For x = 1,
g(x) = 2x + 1
g(1) = 2(1) + 1
= 3
For x = 6,
g(6) = 2(6) + 1
= 13
Common points (solutions) of both the functions 'f' and 'g' are (1, 3) and (6, 13).
Both the solutions lie in quadrant 1.
x-coordinate of the solution (1, 3) is x = 1.
y-coordinate of the solution (1, 3) is y = 3.
Therefore, options (2), (4) and (6) are the correct options.
