Alcohol consumption tends to cause what kind of behavior

Mathematics

1 answer:

kirza4 [7]3 years ago

3 0

Agressive behavior is my best guess

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What is f(g(x)) for x > 5?

mel-nik [20]

Answer:

$\large\boxed{B.\ 4x^2-41x+105}$

Step-by-step explanation:

$f(x)=4x-\sqrt{x}\\\\g(x)=(x-5)^2\\\\f(g(x))\to\text{put}\ x=(x-5)^2\ \text{to}\ f(x):\\\\f(g(x))=f\bigg((x-5)^2\bigg)=4(x-5)^2-\sqrt{(x-5)^2}\\\\\text{use}\\(a-b)^2=a^2-2ab+b^2\\\sqrt{x^2}=|x|\\\\f(g(x)=4(x^2-2(x)(5)+5^2)-|x-5|\\\\x>5,\ \text{therefore}\ x-5>0\to|x-5|=x-5\\\\f(g(x))=4(x^2-10x+25)-(x-5)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\f(g(x))=(4)(x^2)+(4)(-10x)+(4)(25)-x-(-5)\\\\f(g(x))=4x^2-40x+100-x+5\\\\\text{combine like terms}\\\\f(g(x))=4x^2+(-40x-x)+(100+5)\\\\f(g(x))=4x^2-41x+105$

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3 years ago

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Determine the amplitude of the following graph.

kodGreya [7K]

Answer:

amplitude = 3

Step-by-step explanation:

the amplitude is the vertical distance from center of the wave to the crest or the trough

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3 years ago

The police department wants to evaluate a new rule for vehicles that was put into place to prevent road accidents across all lar

Ainat [17]

Option D. Total number of traffic accidents per year, by means of a bar chart that shows the difference of given values and that are represented by size, length and color. This to know the number of accidents that occur as first information. Also the option C. The decrease number of traffic accidents per year, the same with a bar chart that represents the data and its different results thrown. This is to determine the decrease, after knowing the annual number of accidents. This also helps to know the number of current accidents, increase, decrease and the main causes of accidents in large cities.

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3 years ago

Can anyone help me on this click on photo

spayn [35]

The amount of money I spend putting gas in my car this week is

B = 3.079 G

where
' B ' is the number of Bux I spend on gas this week.
' G ' is the number of Gallons I buy this week.

-- The independent variable is 'G'. I can buy as few or as many gallons
as I want to.

-- The dependent variable is ' B '. It depends on how many gallons I buy.

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3 years ago

Assignment Which square root is between 4 and 5?

Crank

the square root between 4 and 5 is \sqrt{24}.

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3 years ago

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