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suter [353]
3 years ago
14

In the function f(x)=(x-2)^2+4, the minimum value occurs when x is

Mathematics
2 answers:
Vinil7 [7]3 years ago
6 0

The graph of the function is a parabola. 

The nose comes down as far as y=4 but no farther.

That happens when  (x - 2)² = 0 , and THAT happens when x = 2 .

madreJ [45]3 years ago
6 0
F(x) = (x - 2)² + 4
f(x) = (x - 2)(x - 2) + 4
f(x) = (x(x - 2) - 2(x - 2)) + 4
f(x) = (x(x) - x(2) - 2(x) + 2(2)) + 4
f(x) = (x² - 2x - 2x + 4) + 4
f(x) = (x² - 4x + 4) + 4
f(x) = x² - 4x + 4 + 4
f(x) = x² - 4x + 8

x = -\frac{b}{2a} = -\frac{-4}{2(1)} = -\frac{-4}{2} = -(-2) = 2
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goblinko [34]

Answer:

<em>H</em>₀: <em>µ</em> = 1100 vs. <em>Hₐ</em>: <em>µ</em> ≠ 1100.

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by Hₐ.

In this case the hypothesis can be defined as follows:

Null hypothesis:

<em>H</em>₀: The average calorie intake of a diner at this restaurant is 1100, i.e. <em>µ</em> = 1100.

Alternate hypothesis:

<em>Hₐ</em>: The average calorie intake of a diner at this restaurant is different from 1100, i.e. <em>µ</em> ≠ 1100.

4 0
3 years ago
Factor the difference of cubes. Select prime if the polynomial cannot be factored
tester [92]

Answer:

(m-(1/3))(m^2+(1/3)m+(1/9)

Step-by-step explanation:

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Recipe A calls for 2 cups of sugar and makes 48 cookies. Recipe B calls for 3 cups of sugar and makes 54 of the same
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Answer:

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4 0
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the sum of the measures of the interior angels of a convex polygon is 3240 classify the polygon by the number of sides
Ipatiy [6.2K]

Answer:

20-gon

Step-by-step explanation:

First we start with the formula  to find what the sum of angles will be if we know the number of sides.  


S=(n-2)*180 where S is the sum of angles and n is the number of sides.


Normally you'd plug in n to find S, but you can do the opposite too.


3240=(n-2)*180


Let me know if you need help working it from here.  

5 0
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