At how many points does the graph of function below intercept the
x axis y=4x^2-9x+9?

a.2
b.1
c.0

C. 0

Step-by-step explanation:

The points of intercection between the graph of a quadratic function of the form are given by the discriminant of the quadratic formula.

Remember that the quadratic formula is:

The discriminant of he quadratic formula is just the thing inside the radical, in other words:

- If the discriminant is negative, the graph of the quadratic function doesn't intercept the x-axis.

- If the discriminant is positive, the graph of the quadratic function intercept the x-axis at 2 points.

- If the discriminant is 0, the graph of the quadratic function intercept the x-axis at 1 point.

We can infer form our quadratic that , , and , so let's replace the values in the discriminant:

Since the discriminant is negative, we can conclude that the graph of the quadratic function doesn't intercept the x-axis at any point.

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²