Answer:
165
Step-by-step explanation:
How many complete vases can Cameron's Flower shop fill with 8 flowers each, considering they have a total of 1,323 flowers in total.
All you have to do is divide 1,323 by 8 to get = 165.375 or 165 and 3/8.
Since the question is about COMPLETE vases of 8 flowers, that means the answer is 165, and we don't count the 3 remaining flowers.
Good job Cameron!
Answer:
I think it has to y=mx+b
Step-by-step explanation:
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.
Answer:
$1,562.50
Step-by-step explanation:
Markup= (selling price- cost)/cost
Let cost be represented by C
0.20 = (1875-C)/ C
0.20C = 1875 - C
0.20C+ C = 1875
1.20C=1875
Divide both sides by 1.20;
C= 1875/1.20
C= $1,562.50
The wholesale cost was $1,562.50
I’m pretty sure it’s -6 because f(x) is the first curve and g(x) is the second and there’s six spaces between each of their vertexes
