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Sergeeva-Olga [200]
3 years ago
10

How to find interval of interest of objective function?

Mathematics
1 answer:
Julli [10]3 years ago
3 0
The interval of interest for your objective function depends on your optimization problem.
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Find the value of 2cosx+1=0;0 less than x less than 360°
ohaa [14]

Answer:

120°; 240°

Step-by-step explanation:

Let's first solve for cosx: 2cosx=-1 \rightarrow cosx=-\frac12 At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is -\frac12 on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.

7 0
3 years ago
What are the solutions of the inequality (x-3)(x+5)<=0
GarryVolchara [31]

Assuming that the inequality you were going for was a ≤, set both polynomials less than or equal to 0.

x - 3 ≤ 0

x + 5 ≤ 0

For the first equation add 3 to both sides of the inequality. For the second, subtract 5 from both sides.

x ≤ 3

x ≤ - 5

These would be your solutions I guess, however, if you want to expand upon that, your actual answer is (- ∞, - 5] because if you were to plot these two inequalities on a number line, that is where the overlap would occur.

4 0
3 years ago
A necklace that is originally 24.50 is on sale for 20% off.what is the sale price of the necklace?
bearhunter [10]

Answer: $19.60

Step-by-step explanation:

24.50 x 20% or (.20)= 4.90

24.50-4.90=19.60

$19.60 is the answer

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nataly862011 [7]
It is D because all the numbers range from 12 to 23, with no number being extremely low or high compared this range.
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Does anyone know this?
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It's 4 units right and 3 units up :)
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