Answer:
x > 0 and y < 2
Step-by-step explanation:
By definition the inverse of a function is simply, when the domain and range are swapped. So if the domain of g(x) is x < 2 and y > 0, then the inverse will have these swapped. So x > 0 and y < 2
Answer:
The entire floor can contain approximately 4178 fans
Step-by-step explanation:
The first step is to calculate the area of the basketball floor.
we can do this by multiplying the length by the breadth as such 94 X 50 = 4700 square feet.
The second step is to calculate the area occupied by 8 of the fans. We can do this by multiplying 3 ft by 3ft = 9 square feet.
From this, it will be easier to estimate the area occupied by only one fan. This can be got by dividing 9 square feet by 8.
This is = 1.125 square feet.
To get the number of students it can occupy, we divide the total area of the court by the area occupied by one student.
4700/ 1.125 =4177.8
4178 fans
Answer:
(- 7, - 4 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the turning point is
x = - 
y = x² + 14x + 45 ← is in standard form
with a = 1, b = 14 , then
x = -
= - 7
Substitute x = - 7 into the equation and evaluate for y
y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4
coordinates of turning point = (- 7, - 4 )
7/9 = 14/18
14-5=9
9/18=1/2