Answer:
13 seconds.
Step-by-step explanation:
Given
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
becomes
Divide through by -4.9
Reorder the expression
Split
or
This gives:
or
But time can't be negative, So:
Please help.. pleaseeee
2 answers:
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Answer:
f(x) =
Step-by-step explanation:
Let the equation of the give cubic function is,
f(x) = p(x - a)(x - b)(x - c)
Here, a, b, c and d are the x-intercepts of the given graph.
Since, x-intercepts given in the graph are x = -5, 1 and 4,
Equation of the curve will be,
f(x) = p(x + 5)(x - 1)(x - 4)
Since, the graph of this function passes through (2, -2) also
-2 = p(2 + 5)(2 - 1)(2 - 4)
-2 = -p(14)
p =
p =
Therefore, equation will be,
f(x) =
Let's let
<u>x = the number of chef salads, x>=0</u>
<u>y = the number of Caesar salads, y>=0</u>
The constrains are:
40 <= x <= 60
35 <= y <= 50
x + y <= 100
The objective function here is F(x, y) = 0.75x + 1.20y
The corner points are (40, 35), (60, 35), (60, 40), (50, 50) and (40, 50).
F (40, 35) = 0.75*40 + 1.20*35 = $72
F (60, 35) = 0.70*60 + 1.20*35 = $84
F (60, 40) = 0.75*60 + 1.20*40 = $93
F (50, 50) = 0.75*50 + 1.20*50 = $97.50
F (40, 50) = 0.75*40 + 1.20*50 = $90
Thus, we conclude to maximize the profit 50 Chef and 50 Caesar salads should be prepared.
