Question

4 Math Questions.

1. Consider the function p(x) = x^2 + 5x – 2.

What is the average rate of change from
x = 2 to x = 4?


2. Consider the functions
f(x) = 3x + 30 and g(x) = x^2 + 20.

At what positive integer value of x does the quadratic function, g(x), begin to exceed the linear function, f(x)?
x=______


3. How many solutions does the system have?
y = –2x + 2
y = x^2 – 2x + 4


4. This system has one solution.

What is the y-coordinate of the solution?

y = –3x + 10
y = –x^2 + 5x – 6

Answer 1

Hi, to #2 order to solve x^2-3x-10=0. The solution is (-b+-sqrt(b^2-4ac))/2a, where a is the multiplier of the x^2 (1), b is the multiplier of x (-3) and c is the rest (-10). Thus 3+-sqrt(9+40) / 2. The result is 5 and -2.