Let x and y be the numbers;
We have x + 2y = 9 and 2x + y = 21;
Then, x = 9 - 2y;
Finally, 2(9-2y) + y = 21 ;
18 - 4y + y = 21;
18 - 3y = 21;
-3y = 3;
y = - 1;
x = 9 - 2× (-1);
x = 9 + 2 ;
x = 11;
Answer:
4 years
Step-by-step explanation:
560 = 7000 × 2/100 × t
t = 4
Answer:
C
Step-by-step explanation:
Since these lines have the same slope and different y-intercepts, they are parallel lines. As such lines do not intersect, we can say that :
The system has no solutions.
Answer:
7:21
Step-by-step explanation:
Lcm(9,12)=9*4=36 minutes later
That is
6:45+36min=7:21
Answer:
P(x)=-2x^2+34x+98
The cost function is given by c(x)=21x-98
And the revenue function is given by r(x)=55x-2x^2
The profit function is the difference of revenue function and the cost function. Mathematically, we can write
p(x)=r(x)-c(x)
Substituting the values, we get
p(x)=55x-2x^2-(21x-98)
p(x)=-2x^2 + 34x = 98
Therefore, the profit function is
p(x) = -2x^2 + 34x + 98
Step-by-step explanation:
