Answer:
A) y-4=2/5(x+2)
Step-by-step explanation:
passes through (-2,4) and has a slope of 2/5
y - 4 = 2/5(x + 2)
Answer:
The function is y = 17000 + 820 x
where: y = price of the car.
x = time in years.
After 3.3 years, the car will cost $19706.
Step-by-step explanation:
Hi there!
Let y be the price of the car.
After the first year, the price of the car will be:
y = 17000 + 820
After the second year:
y = 17000 + 820 + 820 or 17000 + 820(2)
After the third year:
y = 17000 + 820 + 820 + 820 or 17000 + 820(3)
Then, after x years:
y = 17000 + 820 x
After 3.3 year, the car will cost:
y = 17000 + 820(3.3) = 19706
After 3.3 years, the car will cost $19706.
Answer:
3 units
Step-by-step explanation:
The formula for the volume of the cone is given by


Substituting in above formula
![18\pi=\frac{1}{3} \pi*x^{2}*2x\\ \\ 54=2x^{3} \\ \\ x^{3} =27\\ \\ x=\sqrt[3]{27} \\ \\ x=3\ units](https://tex.z-dn.net/?f=18%5Cpi%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%2Ax%5E%7B2%7D%2A2x%5C%5C%20%5C%5C%2054%3D2x%5E%7B3%7D%20%5C%5C%20%5C%5C%20x%5E%7B3%7D%20%3D27%5C%5C%20%5C%5C%20x%3D%5Csqrt%5B3%5D%7B27%7D%20%5C%5C%20%5C%5C%20x%3D3%5C%20units)
Thus, the radius of the cone is 3 units.
Answer:
Table 3 (bottom left table)
Step-by-step explanation:
Use a proportion to check if the table is proportional.
If the table is proportional, then the following is true.


So table 3 is proportional.
A train needs 4 hours to go from the first station to the second and the total travel time must be no more than 7 hours, then the train needs at most 3 hours to go from the second station to the third station.
The average speed can be obtained by the formula:

Let V be the train speed between first and second stations, then the distance between the first and the second stations is 4V miles.
Therefore,
- the total distance is 4V+120 (V>0);
- the total time is T≤7 hours.
Now

The slowest average speed will be when nominator is the smallest and denominator is the greatest. The greatest denominator could be T=7, then
