Step-by-step explanation:
<u>Part a</u>
P(x) = 0
150x - x^2 = 0
x(150-x)
x=0,150
Laura should sell 150 pies in order to "break-even" on her sales.
<u>Part b</u>
Because the maximum profit occurs at the vertex of the function,
x = -b/2a = -150/-2 = 75
P(75) = 150 * 75 - 75^2 = 5625
Laura maximizes her profit to $5625 when she sells exactly 75 pies.
A) The percentage change is 12,64%.
B) 1858.08$
Answer:
35 1/2 divided by 1 1/4 then 27 1/5 divided by 4/5
For the blue car the answer is 28.4.
For the red car the answer is 34.
Answer:
The expression that shows how long the two machines will operate simultaneously is:

Step-by-step explanation:
We know that:
x: hours to manufacture a deck of cards for machine A
y: hours to manufacture a deck of cards for machine B
z: hours that machine A operates alone
The number of decks manufactured only by machine A is:

So, the remaining decks are given by:

Then, the combined rate of machines A and B would be:

The work-rate formula is:

Hence, the time that the two machines work simultaneously is:


-7x-8 i hope this helped. first distribute the 4 to are the numbers. then distribute the - to the plus sign, remove the parenthesis your problem should look like this x-8x-8