the profit, p dollars, earned by a saleswoman selling scented candles is approximated to be p=-10x^2+300x-250, where x dollars is the selling price of one scented candle. what selling price gives the maximum profit?
$10
$30
$15
$7.50

the selling price that gives the maximum profit is $15

Step-by-step explanation:

The profit, P dollars, earned by a saleswoman selling scented candles is approximated to be P=-10x^2+300x-250

This is a quadratic equation and the graph of P against x will give a parabola with a vertex whose value will be the maximum price

The maximum price occurs at x =

-b/2a

From the equation,

a = -10

b = 300

c = - 250

-b/2a = -300/2×-10= -300/-20

= 15

This gives the vertex of the parabola

Therefore, the selling price that gives the maximum profit is $15

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

24/56=hx^7

step-by-step explanation: