0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40 (at break even point)
2.05x^2 - 10x - 20 = 0
x = [ - (-10) +/- sqrt(100 - 4*2.05*-20) / (2*2.05)
x = 6.40, -1.52 Ignore the negative
Answer is 6.40
Answer:
$4.11
Step-by-step explanation:
If Carlos buys the eggplant with a $5 bill and it only costs $.89 cents he will have $4.11 cents in change because $5.00
-$0.88
= $4.11
Answer:
No solution.
Step-by-step explanation:
(1/12)^-2b * 12^(-2b + 2) = 12
1/12 is basically the same thing as 12^-1.
12^(-1 * -2b) * 12^(-2b + 2) = 12
12^2b * 12^(-2b + 2) = 12
12^(2b - 2b + 2) = 12
12^2 = 12
Since the answers don't match up, the answer will be no solution.
Hope this helps!
1 modulo 9 is the set of numbers as follows:
(0(9) + 1), (1(9) + 1, ....)
which is:
1, 10, 19
All we have to do is divide 1000 by 9, and round down.
1000/9 = 111.111......
There are 111 numbers.
Now let us check our work.
the set is as follows:
(1,10,19, ....... (111)9 +1)
(1, 10, 19 ........ 1000)
We are within 1000.
Therefore, 111 of the 1000 smallest positive integers are congruent to 1 modulo 9.
