Vertex of the following quadratic function Y=3(x-5)^2+6

Can someone check if i did this correct. it’s number 4 if you’re wondering.

What is the x-intercept and y-intercept of the equation 2x+1. 2o

Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?