Answer:
Step-by-step explanation:
3(9x - 14/3x + 4 - 1 ≥ 2)
27x - 14x + 12 - 3 ≥ 6
13x + 9 ≥ 6
13x ≥ -3
x ≥ -3/13
Answer: 18
Step-by-step explanation:
The least common denominator of 
and 
is going to be a multiple of 9 and 6. Let us list them out:
9: 9, <u>18</u>, 27, 36, 45, 54, 63, 72, 81, 90
6: 6, 12, <u>18</u>, 24, 30, 36, 42, 28, 54, 60
You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).
15. 2x+4y=5
Since you want to put it into y-intercept format (y=mx+b) first you want to minus 2x on both sides making it 4y= -2x+5, following you will divide by 4 on both sides making it y= -1/2x+ 5/4(1.25). The slope being -1/2x and the y-intercept hitting 1.25 on the y-axis.
17. 3x-3y=5. Like question 15 you will have to put it into y=mx+b format. So first you would minus 3x on both sides becoming -3y = -3x+5 then do the following: divide by -3 on both sides making the answer Y= x-5/3(-1.66666667) you can round it up to -1.67. Overall the answer should be y=x-1.67. 1.67 being the y-int meaning the line meets the y-axis at 1.67 and the slope being 1/1 to help you form the line.
Answer:
115 mi
Step-by-step explanation:
speed = distance/time
distance = speed * time
0.5 hours at 50 mph
distance = 50 mph * 0.5 h = 25 mi
1.5 hours at 60 mph
distance = 60 mph * 1.5 h = 90 mi
total distance = 25 mi + 90 mi = 115 mi
Since the slope-intercept form is y = mx + b, the given equation becomes
2y = -x - 4
y = -0.5x - 2
