Answer:
The c intercept is 42
The t intercepts are: 6, -1 and 7
Step-by-step explanation:
Given

Solving (a): The c intercept
Simply set t to 0




Solving (b): The t intercept
Simply set c(t) to 0


Split

Solve for t

Answer:
see explanation
Step-by-step explanation:
h(x) + k(x) = x² + 1 + x - 2 = x² + x - 1
(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5
h(x) - k(x) = x² + 1 - (x - 2) = x² + 1 - x + 2 = x² -x + 3
(h - k)(3) = 3² - 3 + 3 = 9 - 3 + 3 = 9
h(2) = 2² + 1 = 4 + 1 = 5
k(3) = 3 - 2 = 1
3h(2) + 2k(3) = (3 × 5) + (2 × 1) = 15 + 2 = 17
<u>Answer:</u>
The correct answer option is quadratic, because the height increases and then decreases.
<u>Step-by-step explanation:</u>
We are given the following data in the table which represents the height of an object over time:
Time (s) Height (ft)
0 5
1 50
2 70
3 48
We know that in situation where the values increase and then decreases, a quadratic model is used.
From the values given in the table, we can see that the values of height first increased and then decreased with the increase in time.
Therefore, the model used is quadratic, because the height increases and then decreases.