Answer:
x + y < 20
5x + 10y ≥ 100
Step-by-step explanation:
The ski club wants at least $100
Student pays $5
Chaperone pays $10
Maximum number of seats = 20
Assumption:
Assumed number of students = x
Assumed number of chaperone = y
Equation:
Maximum number of seats = 20
⇒ x + y < 20
The club wants $100
⇒ 5x + 10y ≥ 100
Part A. You have the correct first and second derivative.
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Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.
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Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out
To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0.
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well.
So think of it like this she starts off $32 negative and subtract 3 from each box of cards she makes . So each box of cards she will make $8 that being said
32/8 =4 (it will take 4 box of cards to pay off her booth expense).
Sales would be 11x 4 =44
Expenditures would be 3x4 =32 (the amount used to make cards ) +32(the amount paid for the booth)
Which in total would be $64
1. Exponents are the repeated multiplication of a number. It is represented
by the formula of a^n where a is the number to be repeated and n is the number
of times the number is being multiplies by itself. Also include the sign of the
number, no matter how it is multiplied, it is still important. For instance you have 4(4),
you have 4 as the repeated number. You can see that it is multiplied by itself
by two times. So you have (-4)^2.
2. Graphs and tables are the key features in finding a model between two quantities. If he data values, after plotting it into a graph, produces a straight line, then you will have a direct relationship between the two and sometimes you can get an equation of the line. Sometimes it will give you a curved line. That is why it is important to graph the values of the table to better understand the relationship between two variables.
Ok so 5x20 is 100 and 3x20 is 60 then add 3 is 63 apps that she downloaded then 100-63 is 37 apps that she still has space for.
