How many solutions does the system have?

y=−2x+4y=x2−2x+4

One solution

Step-by-step explanation:

we have

---> equation A

---> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

there's only one point of intersection

so

The solution is the point (0,4)

see the attached figure

therefore

The system of equations has only one solution

for this case we have that by definition, the volume of a cylinder is given by:

where:

r: it's the radio

h: it's the height

we have as data that:

substituting:

so, the cylinder volume is

option d