It's not a multiple choice answer is it?
Answer:
81m^6 - 323 m^5 + 432m^4 - 192m^3
Step-by-step explanation:
Comment
If you are given choices, you should list them please. Otherwise we cannot be certain our answers are taken far enough.
The general formula for expanding a binomial raised to the third power is
(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
Solution
To modify the general formula to suit this problem, let
a = 3m
b = - 4
When that is done, the general equation becomes
(3m)^3 - 3* (3m)^2 * 4 + 3 * 3m * 4^2 - 4^3
(3m - 4)^3 = 27m^3 - 108 m^2 + 144m - 64
Multiply everything in the 4-nomial by 3m^3
(27m^3 - 108 m^2 + 144m - 64)3m^3
81m^6 - 323 m^5 + 432m^4 - 192m^3 which is your answer. I see why you didn't include it, with other (incorrect) possibilities.
Answer:
No, (2, 5) is not a solution to this system
Step-by-step explanation:
x + 2y = 4 keep the same
x - y = -5 Multiply by 2
x + 2y = 4
<u>+ 2x - 2y = -10 </u>
3x = -6
x = -2
Substitute x = -2 into equation 1 and solve for y
x + 2y = 4
-2 + 2y = 4 Solution is (-2, 3)
2y = 4+ 2
2y = 6 y = 3
Test point (2, 5)
x + 2y = 4 x - y = -5
2 + 2(5) = 4 2 -(5) = -5
2 + 10 = 4 -3 = -5 Not true
12 = 4 Not true
Direct proportionality formula:
y = kx
where: y varies directly on x by k, the constant of proportionality;
In this problem, we substiture k with p.
y = total earning
p = hourly rate
x = no. of hours worked
y = 108
p = ?
x = 12 hrs
y = px
108 = p(12)
108/12 = p(12)/12
p = 9 hourly rate or rate per hour.
p = y/x
p = $108 / 12hrs