Answer:
1. (2+2)/(-3+4)= 4/1= 4
y + 2 = 4(x + 4)
y + 2 = 4x + 16
y = 4x + 14 y-intercept:(0,14)
2. (0+5)/(-1+2)= 5/1= 5
y + 5 = 5(x + 1)
y + 5 = 5x + 5
y = 5x
y-intercept (0,0)
3. (-1+1)/(-5-3)= 0/-8= 0
y + 1 = 0(x - 3)
y + 1 = 0
y= -1
Answer:
Step-by-step explanation:
Solve each inequality one at a time:
5x ≤ 21 + 2x and
3x ≤ 21 so
x ≤ 7
The other inequality is
3x + 3 ≥ 24 and
3x ≥ 21 so
x ≥ 7
If x is less than or equal to 7 AND greater than or equal to 7, then the solution is all real numbers.
Answer:
45 in
Step-by-step explanation:
8/30 = 12/x
(30*12)/8 = 360/8
= 45 in
Poor family could afford a horse and a scooter but not a cellphone. Kidding aside, The girl had a two-hour head start, and was riding her horse at 10 mph. Her father was riding his scooter at 15 mph. As they will meet up, their distances would be the same. Looking at the formula for distance: distance = speed*time, we can equate the distance for the two people as they would be the same. This is shown below:
Let: x = number of hours
distance of girl = distance of dad
10(x + 2) = 15x
x = 4
Therefore, they will meet after 4 hours after 12:00pm, or at 4:00 pm.
Answer:
50 pockets
Step-by-step explanation:
Total yards of lace = 75
Yards to decorate one Pocket = 1 1/2 yards
How many pockets can she decorate with the lace
Number of pockets she can decorate with the lace = Total yards of lace / Yards to decorate one Pocket
= 75 ÷ 1 1/2
= 75 ÷ 3/2
= 75 × 2/3
= 150/3
= 50
Number of pockets she can decorate with the lace = 50 pockets
