Answer: the maximum number of guests that he can invite would be 9
Step-by-step explanation:
Darnel's retirement party cost $33, plus an additional $1 for each guest he invites. Assuming Darnel wants to invite x guests to his retirement party, the total amount of money that Darnel would spend is
33 + x
if darnel can afford to spend a total of $42 on his retirement party, then
42 = 33 + x
x = 42 - 33 = 9
Answer:
The maximum amount of profit the company can make is $854.08
Step-by-step explanation:
Let
x ----> the selling price of each widget
y ---> the amount of profit
we have

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
so
The y-coordinate of the vertex represent the maximum amount of profit the company can make
using a graphing tool
Find out the vertex of the quadratic equation
The vertex is the point (25.83,854.08)
see the attached figure
The y-coordinate of the vertex is 854.08
therefore
The maximum amount of profit the company can make is $854.08
Answer: (0,-1) and (1/3,0)
Step-by-step explanation:
Step-by-step explanation:
it is an isoceles triangle (equally long legs).
there is a right angle at W, so YW is the height of the isoceles triangle XYZ.
that means W splits XZ in half.
therefore,
ZW = XZ/2 = 38/2 = 19