Part A: A highway's path can be found using the equation 2x - 3y = 21. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the highway, and explain completely. Part B: A turnpike's route is determined by the equation
y = 1/3x^2 . Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary work.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

4+4+2x

or

2x+8

step-by-step explanation: