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The explanation is the image attached.
To solve this question, you need to do 421 divided by 9.
421 divided by 9 will get you a long number, which is 46.7777778.
Round your number up by the hundredths place. You will get 46.78.
The average speed in miles per hour would be 46.78 MPH.
The quadratic model is given by:
y = ax2 + bx + c
We evaluate three points to find the values of a, b and c.
We have then:
For (0, 200):
200 = a (0) 2 + b (0) + c
c = 200
For (0.5, 195):
195 = a * (0.5) ^ 2 + b * (0.5) +200
195-200 = a * (0.5) ^ 2 + b * (0.5)
-5 = 0.25a + 0.5b
For (1, 185):
185 = a * (1) ^ 2 + b * (1) +200
185-200 = a * (1) ^ 2 + b * (1)
-15 = a + b
Solving the system:
-5 = 0.25a + 0.5b
-15 = a + b
We have the following results:
a = -10
b = -5
Substituting:
y = -10x ^ 2 - 5x + 200
For x = 3 we have:
y = -10 (3) ^ 2 - 5 (3) + 200
y = - 90 - 15 + 200
y = 95
Answer:
the height at 3 seconds is:
y = 95 feet
Answer:
18000 ft
Step-by-step explanation:
1 yd = 3 ft
Using conversion factors
6000 yds * 3 ft/ 1 yd = 18000 ft