Answer:
Step-by-step explanation:
y = a(x-h)² + k, where (h,k) is the vertex.
vertex is clearly (0,0), so y = ax².
Plug in (3,3) and solve for a:
3 = a3²
a = ⅓
y = ⅓x²
Answer:(x-1)^2 -96
Step-by-step explanation:
Not sure if this is correct but I included the workings out
Amy's average speed during her whole journey from London to Newcastle (300 miles) was 51.422 miles per hour.
<h3>How to calculate the average speed?</h3>
This is calculated by taking the total distance and dividing it into the total time.
<h3>What was Amy's average speed?</h3>
First part of ther journey: 165 miles at 60mph, which is equal to 2.75 hours
- Time: distance/speed
- Time: 165 miles/ 60 mph= 2.75 hours
Second part of her journey: 135 miles in 3.083 hours (3 hours and 5 minutes)
- Total distance: 300 miles
- Total time: 2.75 hours + 3.084 = 5.834
Average speed: 300 miles / 5.834 = 51.422 miles per hour
Learn more about average speed in: brainly.com/question/12322912
Answer: it will take them 4 hours to be 640 kilometers apart.
Step-by-step explanation:
Let t represent the time it will take for both trains to be 640 kilometers apart. It means that the total distance that both trains will covered in t hours is 640 kilometers.
Distance = speed × time
A train leaves Little Rock Arkansas and travels north at 75 kilometers per hour. Distance covered after t hours would be 75 × t = 75t
Another train leaves at the same time and travels south at 85 kilometers per hour. Distance covered after t hours would be 85 × t = 85t
Since the total distance covered is 640 kilometers, then
75t + 85t = 640
160t = 649
t = 640/160
t = 4 hours
Answer:
A.
62% of the respondents attended public universities.
Step-by-step explanation: