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 what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit. y=-x^2+73x-520
y=−x
2
+73x−520

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5

x/7.50 = 15

x= 7.50 / 15 divide

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.