Answer: a. 55
Step-by-step explanation:
The formula to find the geometeric mean between two numbers a and b is given by :-

The given numbers are : 275 and 11
The geometric mean of 275 and 11 is given by :-

Hence, the geometric mean of 275 and 11 is 55.
So , the correct option is a. 55 .
Given the next quadratic function:

to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:

where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:

The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:

The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get: