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4 years ago

What is the minimum value of the function g(x) = x2 - 6x – 12? -21 3-21 3 3+21

Mathematics

1 answer:

balandron [24]4 years ago

4 0

Answer:

- 21

Step-by-step explanation:

The minimum value occurs at the vertex of the function

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

f(x) = x² - 6x - 12

add/ subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 - 12

= (x - 3)² - 21

with vertex = (3, - 21 )

The minimum is the value of k, that is minimum value = - 21

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S_A_V [24]

X<-3 would be the answer

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3 years ago

Assume that you assign the following subjective probabilities for your final grade in your econometrics course (the standard GPA

rodikova [14]

Answer:

$E(X) = 4*0.2 +3*0.5+ 2*0.2 +1*0.8+ 0*0.02= 2.78$

So then the best answer for this case would be:

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Step-by-step explanation:

For this case we have the following probabability distribution function given:

Score P(X)

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If we use the definition of expected value given by:

$E(X) = \sum_{i=1}^n X_i P(X_I)$

And if we replace the values that we have we got:

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So then the best answer for this case would be:

C. 2.78

3 0

3 years ago

A cross country team is made up of 65% male runners. What fraction of the team is male?

Nikitich [7]

Percentage is the same as a fraction over 100, where the number 100 represents a 'whole'.

Therefore, if 65% are male, it means if there were 100 runners in total, 65 of them would be male, so your fraction would be 65/100.

However, you can simplify this fraction as both 65 and 100 have common factors. So you keep dividing both numbers by its factors until there are no more common factors left. This will leave you with 13/20.

Therefore your final answer is 13/20.

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3 years ago

Needs to be graphed and solved please help

il63 [147K]

Answer: here it is graphed and it cant be solved because there are no solutions as seen on the graph!

Step-by-step explanation: hope i helped please mark brainliest!