Sammy walks at 4 miles an hour for half an hour. This means the walk is 2 miles in 30 minutes.
Candy is going 6 miles an hour, so it will only takes her 1/3 of an hour, or 20 minutes, to cover 2 miles.
So, Candy gets home 10 minutes faster (30-20) than Sammy.
So it's 4x-5 equal to -20 to the second power
-20x-20 =400
The answer is 400
Complete question is;
A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Answer:
A) (d/9) + 900 + (d/6) = 1080
B) d = 648 ft
Step-by-step explanation:
A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.
Time taken is given as;
t = distance/speed
If distance is d from the hive to the flower bird.
Then, t1 = d/9
The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.
We are told that the bee flew directly back to the hive at 6 feet per second.
Thus,time is;
t3 = d/6
Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s
Thus;
(d/9) + 900 + (d/6) = 1080
B) Since we have derived;
(d/9) + 900 + (d/6) = 1080
Then we can find d.
Multiply through by 18 to get;
2d + (900 × 18) + 3d = 1080 × 18
2d + 16200 + 3d = 19440
5d = 19440 - 16200
5d = 3240
d = 3240/5
d = 648 ft
Answer:
C. F(x) = (x+2)²
Step-by-step explanation:
A horizontal shift to the right by "h" units is achieved by replacing x with (x-h). The shift we want is to the left by 2 units, so h = -2, and we have ...
f(x) = g(x -(-2)) = g(x+2)
f(x) = (x+2)²
By Hand
Step 1:
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2:
Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3:
Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4:
Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5:
Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
