Select the correct answer from each drop-down menu. A jewelry artisan has determined that her revenue, y, each day at a craft fair is at most -0.5x^2 + 30x, where x represents the number
of necklaces she sells during the day. To make a profit, her revenue must be greater than her costs, 2x + 150.
Write a system of inequalities to represent the values of x and y where the artisan makes a profit. Then complete the statements.
of this system.

The point (30,230) is _
The point (10,300) is_
of this system.

The options for the blanks are in the drop-down menu in the picture !

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

b

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.