Answer:
Different ways to solve a system of linear equations:
isolate one variable in one equation and replace it in the other equation
multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
graph the equation and look at the intersection point
If you graph the system:
there is only one solution if the lines intersects at only one point
there is no solution if the lines don't intersect each other (they are parallel)
there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3
Answer: Anything that is 1202 or larger
In other words, 
So we could have m = 1202, or m = 1203, or m = 1204, etc.
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Explanation:
- m = number of minutes used
- 0.07m = amount charged for those minutes used excluding the $25
- 0.07m+25 = total monthly bill now including the extra $25 fee
The monthly bill is at least $109.14, since this is the lowest amount she has been charged.
This says that the least number of minutes Martina has used is 1202 minutes.
So if m was a whole number, then m could be selected from the set {1202, 1203, 1204, ...}
Side note: 1202 minutes = 1202/60 = 20.033 hours approximately.
Answer:
distributive property
Step-by-step explanation:
You are distributing the 8 amongst the numbers inside the parenthesis.
You have to calculate the probability for the given average:
= 3/200 = 0.015 = 1.5%
For 50,000 phones you have to multiply the probability by 50,000:
0.015*50,000 = 750 phone defectives if the company produced 50,000
