Determine whether the quadratic function show below has a minimum or maximum then determine the minimum or maximum value of the function f(x) = 3x^2 - 18x + 29

The quadratic has a minimum value.

The minimum value is at (3, 2).

Step-by-step explanation:

We are given the quadratic function:

First, since the leading coefficient is positive, this quadratic function will be concave up.

Hence, we will have a minimum value.

The minimum or maximum value is the vertex of the quadratic. The vertex is given by:

In this case, a = 3, b = -18, and c = 29. Thus, the x-coordinate of the vertex is:

And the minimum value is:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950