CRM Diagnostic

Front

What is the formula for exponential growth when a population doubles every fixed interval?

Back

The formula is n = n0 * (2)^(t/T), where n0 is the initial population, t is the time elapsed, and T is the doubling time.

Front

How do you find the coordinates of a point after a 180° rotation and reflection?

Back

To find the new coordinates after a 180° rotation about the origin, negate both coordinates (x, y) to (-x, -y). Then, reflect across the y-axis by negating the x-coordinate.

Front

What is the method to find the intersection point of two lines given by their equations?

Back

Substitute the value of x from one equation into the other equation to find the corresponding y-coordinate.

Front

What does the vertex form of a quadratic function look like?

Back

The vertex form is f(x) = a(x-h)^2 + k, where (h, k) is the vertex of the parabola.

Front

How do you calculate the percentage of items sold from a total?

Back

Percentage sold = (Number of items sold / Total number of items) * 100.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is the general form of a linear equation in two variables?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

How do you determine the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) using the coordinates of the two points (x1, y1) and (x2, y2).

Front

What is the relationship between the roots of a quadratic equation and its graph?

Back

The roots of a quadratic equation are the x-intercepts of its graph, where the graph intersects the x-axis.

Front

What is the formula for the area of a triangle given its base and height?

Back

The area (A) is calculated as A = (1/2) * base * height.