1. 4x + 8y = 12....divide by 4
x + 2y = 3
2y = -x + 3
y = -1/2x + 3/2...slope is -1/2, y int is 3/2
x + 2y = -3
2y = -x - 3
y = -1/2x - 3/2...slope is -1/2 and y int is -3/2
when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent
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2. y = 2x - 1...slope is 2 and y int is -1
y = -2x + 5 ...slope is -2 and y int is 5
when the slopes are different and the y int are different, then there is 1 solution making it independent
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3. 4x - 12y = 8...divide by 4
x - 3y = 2
same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent
A perfect number is a number where the sum of its divisors is equal to the number.
For example 6: 1 + 2 + 3 = 6
Another example is 28: 1 + 2 + 4 + 7 + 14 = 28
Here is a short list of perfect numbers: 6, 28, 496, 8128, <span>33550336, and the numbers get way bigger as we go on.</span>
Answer:
3
Step-by-step explanation:
3.5*4.5=15.75 ft^2
15.75/5.25=3 bags