A = LW
A = (< = 33)
L = W + 8
W(W + 8) < = 33
W^2 + 8W < = 33
W^2 + 8W - 33 < = 0
(W + 11)(W - 3) < = 0
W + 11 < = 0
W < = -11 (extraneous solution)
W - 3 < = 0
W < = 3 <===
L < = W + 8
L < = 3 + 8
L < = 11 <===
Answer: The table and figure are given below,
Solution:
The given equation is 
.
put x=0 in the equation.
Similarly find the values of y at different values of x. The values are shown in the table.
From table it is notices that the value of y=-2 for x=0, y=-1 for x=3, y==-3 for x=-3, y=0 for x=6.
Plot these points in the coordinate plane and joint them by a straight line.
The gra his shown in below figure.
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
16.3333333 3 times is equal 49
