Answer:
<u>Part (a)</u>
It depends how your calculator calculates quadratic regressions.
For my calculator:
- Go to Statistics menu
- Select quadratic regression: y=a+bx+cx²
- Input the x and y values from the given table
- Go to options and select regression calc
a = 1.177142857 = 1.18 (nearest hundredth)
b = 42.22257143 = 42.22 (nearest hundredth)
c = -12.87142857 = -12.87 (nearest hundredth)
⇒ y = 1.18 + 42.22x - 12.87x²
Therefore, the quadratic regression equation in standard form is:

<u>Part (b)</u>
To estimate the height of the rocket after 5 seconds, input x = 5 into the regression equation:

As this gives us a negative value, this means that the rocket would have come back to the ground before 5 s. Therefore, the height of the rocket at 5 s will be 0 ft.
(see attached graph → the rocket will hit the ground at approx 3.3 s)
Answer:
The answer to your question is: y = 6x + 3
Step-by-step explanation:
Data
slope = m = 6
A (8, 51)
Equation
y = mx + b
(y - y1) = m (x - x1)
(y - 51) = 6(x - 8)
y - 51 = 6x - 48
y = 6x - 48 + 51
y = 6x + 3
The number is 12, if you split it into 3 parts you get 4 so 2/3 of it would be 8. then you just take 20 ans subtract 8 to get 12.
Answer:
0,-5
My above answer is correct hope this helps.