Answer:
D. 
Step-by-step explanation:
Any parabola is modelled by a second-order polynomial, whose standard form is:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
, 
, 
- Coefficients, dimensionless.
In addition, a system of three linear equations is constructed by using all known inputs:
(-2, 0)
(Eq. 1)
(4, 0)
(Eq. 2)
(0,-16)
(Eq. 3)
Then,
(Eq. 4)
(Eq. 5)
(Eq. 3 in Eqs. 1 - 2)
By Eq. 4 (Eq. 4b)
Then,
(Eq. 4b in Eq. 5)
The remaining coeffcient is:
The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is . Thus, the right answer is D.
Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
at = (a1)(2^t/2)
where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
a6 = (103)(2^6/2) = 824
Thus, there are 824 bacteria after 6 hours.
Sample Response: There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
The answer is C because x2 is a parabola
B right? sorry if i’m wrong i’m not the greatest at math english is my subject
