Answer:

Step-by-step explanation:
Given
P(4,3)
Required
Solve
Using permutation formula;

This implies that





Since you don't want any leftover items, you have to find the greatest common factor (GCF) of both the crayons and bubbles. Since the highest common factor for both 28 and 12 is 4, the greatest number of gift bags you can make without any leftover items would be 4 gift bags.
Hope I could help.
Answer:
The solution is (2, -2)
Step-by-step explanation:
In order to solve this, multiply the second equation by -5 and then add through.
5x - 4y = 18
-5x - 15y = 20
------------------
-19y = 38
y = -2
Now that we have the value of y, we can solve for x.
x + 3y = -4
x + 3(-2) = -4
x - 6 = -4
x = 2
A = L * H
A = 65
L = 2H - 3
65 = H(2H - 3)
65 = 2H^2 - 3H
-2H^2 + 3H + 65 = 0
(-Hh + 13)(H + 5) = 0
-2H + 13 = 0
-2H = -13
H = -13/-2
H = 6.5 <== height is 6.5 inches
H + 5 = 0
H = -5....this wont work because it is negative
L = 2H - 3
L = 2(6.5) - 3
L = 13 - 3
L = 10 <== length is 10 inches
It changes it into negative