Step-by-step explanation:
the answer is y=-6 when x=-3
first off let's change the mixed fractions to improper fractions, and let's Hailey's account first.
ok, now we know how long it takes for Hailey's money to double, how much money does Aiden have by then?
notice, in Hailey's amount we used the logarithmic value for "t", just to avoid any rounding issues.
Answer:
Step-by-step explanation:
A = (2·x^3 - 5·x^2 + 8)·(x + 3) = 2·x^4 + x^3 - 15·x^2 + 8·x + 24
The polynomial has ... 5 coefficients ?
The constant of the polynomial is ... 24
The polynomial has a degree of ... 4
The leading coefficient of the polynomial is ... 2
<span>76.78 km/h
To calculate the average velocity for the total trip, you need to first determine the total distance traveled and the total time taken. First, let's calculate the total distance traveled. The trip consists of 2 legs. The 1st leg is 280 km and the 2nd leg is 210 km. So the total distance is 280 km + 210 km = 490 km.
Now you need to calculate the total time taken. For this problem, there are 3 intervals that need to be accounted for. The travel time for the 1st leg, the duration of the rest stop in the middle, and the travel time for the 2nd leg. The travel time for both legs is calculated by dividing the distance traveled by the average speed. So for the first leg we have
280 km / (88 km / h) = 3.181818 h
The 2nd leg is
210 km / (75 km/h) = 2.8 h
The rest stop in hours is
24 min / (60 min/h) = 0.4 h
The total time is
3.181818 h + 2.8 h + 0.4 h = 6.381818 h
The average velocity is the distance divided by the time, giving:
490 km / (6.381818 h) = 76.78 km/h</span>