Solve the following: 3 – (-2) =
2 answers:
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Answer:
Step-by-step explanation:
SOLVE BY SUBSTITUTION:
STEP 1: Replace all occurrences of with
in each equation.
STEP 2: Solve for in the first equation.
STEP 3: Replace all occurrences of with
in each equation.
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: 9.4
Step-by-step explanation:
Here the x-coordinates and y-coordinates have the inverse relation.
⇒
⇒
Where k is variation constant.
Since, point (9.4, 11) is from the inverse variation,
Therefore, this point must be satisfy the above condition,
That is,
Thus, the relation between the coordinates is,
Put x = 11, in the above function,