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seraphim [82]
3 years ago
14

If f(x) = 3 – 2x and g(x)=1/x+5, what is the value of (f/g)(8)? –169 –1 13 104

Mathematics
2 answers:
disa [49]3 years ago
5 0

Answer:

–169

Step-by-step explanation:

(f/g)(x) = ( 3 – 2x ) / (1 / x+5)

(f/g)(8) = (3 - 16)/(1/13)

(f/g)(8) = = -13 * 13

(f/g)(8) = - 169

Anettt [7]3 years ago
5 0

Answer: -169

Step-by-step explanation:

Given functions: f(x)=3-2x\text{ and } g(x)=\dfrac{1}{x+5}

The quotient function (f/g) is given by :_

(f/g)(x)=\dfrac{f(x)}{g(x)}\\\\\Rightarrow (f/g)(x)=\dfrac{3-2x}{\dfrac{1}{x+5}}

At x = 8 , we have

(f/g)(8)=\dfrac{3-2(8)}{\dfrac{1}{8+5}}\\\\\Rightarrow\ (f/g)(8)=\dfrac{-13}{\dfrac{1}{13}}\\\\\Rightarrow\ (f/g)(8)=-13\times13=-169

Hence, the value of (f/g)(8)=-169

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The data given below contain the state cigarette tax​ (in $) for all 20 regions of a country.
g100num [7]

Answer:

(a) \bar x= 1.583 -- Population Mean

(b) s = 1.032 --- Population standard deviation

(c) See Explanation

Step-by-step explanation:

Given:

Cigarette tax for 20 regions

Solving (a): The population mean

This is calculated as:

\bar x = \frac{\sum x}{n}

\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84

\sum x = 31.66

n = 20

So, we have:

\bar x= \frac{31.66}{20}

\bar x= 1.583

Solving (b): The population standard deviation

This is calculated as:

s = \sqrt{\frac{\sum( x - \bar x)^2}{n}

\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2

\sum (x -\bar x)^2 = 21.29222

So:

s = \sqrt{\frac{21.2922}{20}

s = \sqrt{1.06461}

s = 1.032

Solving (c):

Population mean tells the average amount while the standard deviation represents the spread from the calculated mean

Option (4) is correct

6 0
3 years ago
At-home medical test kits have increased in popularity in recent years. This​ year, 380 million test kits are expected to be sol
Vladimir79 [104]

Answer:

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Step-by-step explanation:

You just get 14% of 380 million and subtract it from 380 million

5 0
3 years ago
The circumference of a circle is 53.3853.38 centimeters.
zepelin [54]

Answer:

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Step-by-step explanation:

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3 years ago
Help I’ll mark you brainly!
Gnesinka [82]
Pls mark brainleist

7 0
3 years ago
HELP!! Im not sure what i did wrong!!
Igoryamba

I'm not sure what exactly you did wrong, but I agree with you that the sample size is too small, so the correct answer will probably be the fourth options. Hope that this gives you some confidence, and 'm sorry not to be able to help you any further...

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