hectictar

Oh boy I can do this problem! =D

y = x² + 8x - 9

We need to take the derivative of this. That will tell us the slope of the graph of this function at any point. Take the derivative using the power rule.

y' = 2x + 8

Set y' = 0 to find all the places where the slope of x² + 8x - 9 is zero.

0 = 2x + 8

-8 = 2x

-4 = x

So when x is -4, the slope of x² + 8x - 9 is zero. That means it is either a maximum, minimum, or inflection point. To figure out which one, take the second derivative.

y''= 2

Since y'' is positive when x is -4, that means the graph is concave up, which means x = -4 is the minimum.

Haha, I don't know how to do this problem but I thought it was funny that her name is Ima Vain and she is applying makeup hourly, lol. (Sorry I'm no help)

-2 - 4 + -8

= -2 - 4 - 8

= -6 - 8

= -14

7500/3 = 2500

So 2500 of the shippings are peanut free.

7500 - 2500 = 5000

So 5000 of the shippings are mints/store brand.

If I understand your question correctly, you are saying that the company makes money on 60% of peanut free chocolates and 50% of mint/store brand chocolates. But we want to know how much the store makes, not the company. That means the store makes money on the remaining 40% of peanut free chocolates and the remaining 50% of mint/store brand chocolates.

40% of 2500 = (0.4)(2500) = 1000

50% of 5000 = (0.5)(5000) = 2500

1000 + 2500 = 3500

So the store makes money on 3500 shippings every day.

I'm not sure what you mean by "2 widths and 2 lengths." A rectangular prism should have three dimensions—length, width, and height. And by "cm(2)" do you mean "cm²" ?

\(x = \sqrt{100}(6051)\)

x = (10)(6051)

x = 60510

06 and 60

15 and 51

24 and 42

33 and 33

The last one is obviously not realistic though because the father and the son can't both be 33, but I would still consider it a possible combination.

(1/2)² = 1/4

Actually I made a mistake it should be:

(x) + (x + 4) > (20)

2x + 4 > 20

2x > 16

x > 8

So the final answer is  8 < x < 12

I counted 97