Answer:
hello how are you doing today I hope all is well okay
Answer:
a relationship or expression involving one or more variables
The instruction to "use a common denominator to divide" may be counter-intuitive to someone taught to "invert and multiply."
To find the number of glasses, we divide the amount of juice by the glass size. The divisor is the glass size, and we want to have a common divisor with the juice quantity.
We can remove a factor of 2 from the numerator and denominator of the juice quantity to give it a denominator of 4, in common with the glass size.
number of glasses = (quantity of juice) / (glass size)
number of glasses = (6/4 cups)/(3/4 cups)
Factoring (1/4 cups) from numerator and denominator, we have
number of glasses = 6/3
number of glasses = 2
{x-(-3/4)}^2=3^2
(x+3/4)^2=9
{(4x+3)/4}^2=9
(4x+3)^2/16=9
(4x+3)^2=9*16
16x^2+2*4x*3+3^2=144
16x^2+24x+9=144
16x^2+24x+9-144=0
16x^2+24x-135=0
Answer:
The maximum profit of $ 10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.
Step-by-step explanation:
Profit = Revenue - Cost
P(x) = R(x) -C(x)
= -31.72x^2 + 2,030x
-( -126.96x + 26,391)
Distribute the minus sign
= -31.72x^2 + 2,030x+126.96x - 26,391
Combine like terms
= -31.72 x^2 + 2156.96 x - 26391
This is a parabola. It is facing downwards. The maximum profits is at the vertex ( where the max is)
vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34
Evaluate P(x) at x=34 to determine the profit
P(34) = -31.72 (34)^2 + 2156.96 (34) - 26391
-36668.32+73336.64-26391
10277.32
