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vesna_86 [32]
3 years ago
14

What is the minimum value of F(x)= 10x^{2} -6x-3 3/10 or -39/10

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer: 3/10

Step-by-step explanation:

Take the derivative of 10x^2-6x-3 to get 20x-6. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.

Now do:

20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.

Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value

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3 years ago
5x+10=20<br> Another twist free points I have plenty to spare.
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Answer:

oui oui its x=2

Step-by-step explanation:

5x+10=20

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3 years ago
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Occasionally you may encounter an angle that's given in the old fashioned degrees/minutes/second form, as described in the box o
solniwko [45]

Answer:

a=3.0881 degrees.

a=(0.017156)\pi rad  or

a=0.053897 rad

Step-by-step explanation:

Let's start writing some equivalences.

1 degree = 60 minutes = 60'

1 minute = 1' = 60 seconds = 60''

Therefore,

1' = 60''  ⇒ 60' = 3600'' ⇒ 1 degree = 3600''

For a = 3 degree 5'17'' we are going to transform the minutes and the seconds into degrees.

60' = 1 degree ⇒

5' = \frac{5}{60} degree

For the seconds :

3600'' = 1 degree ⇒

17'' = \frac{17}{3600} degree

Finally :

a=(3+\frac{5}{60}+\frac{17}{3600}) degrees

a=3.0881 degrees.

For radians, the equivalence is :

360 degrees = 2π rad

For a = 3.0881 degrees ⇒

360 degrees = 2π rad

3.0881 degrees = \frac{(3.0881)2\pi }{360} rad

a=0.053897 rad

or in terms of π ⇒ a=(0.017156)\pi rad

7 0
3 years ago
Find an equation for the nth term of the arithmetic sequence.
Salsk061 [2.6K]

I hope this helps witb you.

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Solve (1/5)^x+3 = 125^2x-36 for x without using logarithms.
mr_godi [17]

Answer:

15

Step-by-step explanation:

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3 years ago
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