Answer:
12.4
Step-by-step explanation:
Answer:
<u><em>canvases over weeks
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<u><em>Step-by-step explanation:
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<u><em>Given:
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<u><em>w(h) represents how many hours per week
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<u><em>c(t) approximates how many canvases she paints per hour
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<u><em>In function composition, if we have two function f(x) and g(x) then
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<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g.
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<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!
80% of what is 56
0.80x = 56
x = 56 / 0.80
x = 70....so he attempted 70 free throws
The formula is f(x) = a x ^ 3 + b x ^ 2 + c x + d
f '(x) = 3ax^2 + 2bx + c.
f(- 3) = 3 ==> - 27a + 9b - 3c + d = 3
f '(- 3) = 0 (being a most extreme) ==> 27a - 6b + c = 0.
f(1) = 0 ==> a + b + c + d = 0
f '(1) = 0 (being a base) ==> 3a + 2b + c = 0.
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Along these lines, we have the four conditions
- 27a + 9b - 3c + d = 3
a + b + c + d = 0
27a - 6b + c = 0
3a + 2b + c = 0
Subtracting the last two conditions yields 24a - 8b = 0 ==> b = 3a.
Along these lines, the last condition yields 3a + 6a + c = 0 ==> c = - 9a.
Consequently, we have from the initial two conditions:
- 27a + 9(3a) - 3(- 9a) + d = 3 ==> 27a + d = 3
a + 3a - 9a + d = 0 ==> d = 5a.
Along these lines, a = 3/32 and d = 15/32.
==> b = 9/32 and c = - 27/32.
That is, f(x) = (1/32)(3x^3 + 9x^2 - 27x + 15).
