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Answer:
The time it takes for the cannonball to hit the ground is 6.49 seconds.
Step-by-step explanation:
You know that the height of the cannonball above the ground, h, in meters, in time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t + 8.4. You want to calculate the time it takes for the cannonball to hit the ground, that is, the time it takes for the bullet to reach zero height. So, being h(t) = 0 you have:
0 = -4.9t² + 30.5t + 8.4
To solve a quadratic function 0=a*x² + b*x +c, the expression is applied:
In this case, being a = -4.9, b =30.5 and c =8.4 you have:
Solving you get:
t1= -0.26 seconds and t2=6.49 seconds
Since time does not have a negative value, then <u><em>the time it takes for the cannonball to hit the ground is 6.49 seconds.</em></u>
Cashier job pays $9 per hour
Delivering newspaper pays $8 per hour
Delivering newspaper pays $8 per hour
Answer:
- 8
Step-by-step explanation:
The common difference d between consecutive terms is
d = -
, that is
d = - 4 - (- 2) = - 4 + 2 = - 2
To obtain the next term subtract - 2 from - 6
next term = - 6 - 2 = - 8