A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out how much the widgets would have to be sold for, to the nearest cent, in order for the company to break even. Only enter one possible price.
y=-x^2+48x-180

Step-by-step explanation:

The company will break even when it has made no profit, i.e. when :

.

Using the quadratic formula we get the two solutions:

which in decimal form are

We choose the price , because it is the highest price for which no profit is made, and higher price means that you could sell least number of products to earn a certain amount of money.

Also. the graph of relates to the real life situation from the blue line shown in the graph, because what happens in real life is that as you increase the price, your profit decreases.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl