Answer:
a) after 12.59 days the revenue will be equal
b) u just have to graph it
the second one is
a) the two solutions are x=4 and x=-4
b) x=-4 is not reasonable because time can’t be negative
c) after four seconds, the heights will be equal
Step-by-step explanation:
After 12.59 days the revenue for each game is the same. The two solutions of the system equation b(t) and p(t) are 4 and -4, and -4 is not a reasonable solution because time never be negative and after 4 seconds the rocket and the ball reach the same height.
1)
Given :
Math Game -- [tex]\rm M(d) = x^2-9x-10[/tex]
Reading Game -- R(d) = 2x + 10
It is given that after 'x' number of days the revenue for each game is the same, that is:
[tex]\rm x^2 -9x-10=2x+10[/tex]
[tex]\rm x^2 -11x-20=0[/tex]
Simplify the above quadratic equation.
[tex]\rm x = \dfrac{11\pm \sqrt{11^2-(4\times -20)} }{2}[/tex]
[tex]\rm x = \dfrac{11\pm \sqrt{201} }{2}[/tex]
x = 12.59 days
So, after 12.59 days the revenue for each game is the same.
The graph of both the revenue function is attached below.
2)
Given :
[tex]\rm b(t) =- t^2-2t+36[/tex]
p(t) = -2t + 20
The solution of this system can be determined by equating both the above function.
[tex]\rm -t^2 - 2t +36 = -2t +20[/tex]
Simplify the above equation.
[tex]\rm t^2 =16[/tex]
t = 4 and -4
a) The two solutions of the system are 4 and -4.
b) -4 is the solution is not a reasonable solution because time never be negative.
c) After 4 seconds the rocket and the ball reach the same height.
For more information, refer to the link given below:
https://brainly.com/question/2263981
