Answer:
6 (2)^ = 6
6 (2)^2 = 24
a = 24
b = 6
y-intercept: (0,6)
y-intercept =
Step-by-step explanation:
6(2)^x
6 (2)^0 = 6 (a number ^0 = 1, 6 times 1 = 6)
6 (2)^2 = 6 x 4 = 24
Assuming Earth's gravity, the formula for the flight of the particle is:
s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.
This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2.
Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet.
Answer:
x = 9.2
Step-by-step explanation:
Use Pythagorean Theroem to find the lenght of x
a^2 + b^2 = c^2
6^2 + 7^2 = x^2
36 + 49 = x^2
85 = x^2
then find the square root of 85 which is 9.2
Answer:
4 GB
Step-by-step explanation:
Let "g" represent the number of gigabytes of data used. Then the phone bill is computed as ...
bill = 65 + 12g
Aurora's bill is 113, so we can put that value into the equation and solve for g.
113 = 65 + 12g
48 = 12g . . . . . . subtract 65 from both sides of the equation
4 = g . . . . . . . . . divide both sides of the equation by 12
Aurora used 4 gigabytes of data in September.
_____
You can also use your mathematical reasoning to solve this problem. The total bill consists of two charges: a fixed charge of 65 and a charge that depends on data. If you subtract the fixed charge from the bill, you find that the charge that depends on data is 113-65 = 48.
The data charge is 12 times the number of gigabytes. The data charge on the bill is 48, which is 12 times 4. Then the number of gigabytes is 4.
