Answer:
x≥ 0
Step-by-step explanation:
7x+6 ≥ -(x-6)
Distribute the minus sign
7x+6 ≥ -x+6
Add x to each side
7x+x+6 ≥ -x+x+6
8x+6 ≥ 6
Subtract 6 from each side
8x+6-6 ≥ 6
8x≥ 0
Divide by 8
8x/8≥ 0/8
x≥ 0
7:
Parallel lines have the same slope
y = -3x + b
Plug in the x and y values from the point
5 = -3(-4) + b
5 = 12 + b
-7 = b
Answer to 7: y = -3x -7
8:
Perpendicular lines have opposite reciprocal slopes
y = -2x + b
Plug in x and y from the point
-6 = -2(7) + b
-6 = -14 + b
8 = b
Answer to 8: y = -2x + 8
Semi monthly means 2 times per month
assume that pay is at beginning and middle of month (doesn't matter, but makes it easier for me)
so 12 months
2 times per month
12 times 2=24
divide 55000 by number of months
55,000/24=2291.67
so the amount per paycheck, assuming equally distributed amounts throughout the paychecks, is $2291.67
Answer: 11 weeks
Step-by-step explanation: 11 x 10 + 10 = $120 and 11 x 6 +54 = $120
