Answer:
-28 has the greater absolute value.
Step-by-step explanation:
19's absolute value is 19
|19|=19
but -28's absolute value is 28
|-28|=28
and 28 is greater than 19
19<28
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We know for our problem that Rachel makes $10 per hour. Since

represent the number of hours that she works,

will be the total amount that she will make for working

hours. We also know that she sells bracelets for $5 each. Since

represents the number of of bracelets that she sells,

will be her total revenue for selling

bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of

and

must be equal or greater than 200:

We can conclude that <span>the graphs that shows the inequality that represents this situation, with its solution region shaded is:</span>
Answer:
11x^2-8x-14
Step-by-step explanation:
(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14
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