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3 years ago

Someone please help

Mathematics

1 answer:

OlgaM077 [116]3 years ago

6 0

Answer:

$g(g(x)) = {x}^{4} + 14 {x}^{2} + 56$

$h(h(x)) = x$

Step-by-step explanation:

$g(x) = {x}^{2} + 7$

$g(g(x)) = {( {x}^{2} + 7)}^{2} + 7$

$g(g(x)) = {x}^{4} + 14 {x}^{2} + 49 + 7 = {x}^{4} + 14 {x}^{2} + 56$

$h(x) = \frac{5}{9x}$

$h(h(x)) = h( \frac{5}{9x} )$

$h(h(x)) = \frac{5}{9( \frac{5}{9x} )} = \frac{5}{ \frac{5}{x} } = 5( \frac{x}{5}) = x$

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Answer:

<u>We should add 1.2 fluid ounces of oil </u>

Correct statement and question:

You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline. You have 2 quarts of gas. How much oil should you add?

Source:

https://www.chegg.com/homework-help/questions-and-answers/really-excited-found-puch-maxi-moped-mid-eighties-spring-weather-making-want-get-ride-arou-q38287224

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Ratio = 2.4 fl. oz. of oil for every gallon of gasoline

Amount of gas you have = 2 quarts

2. How much oil should you add?

Let's recall that 1 liquid gallon = 4 liquid quarts, therefore:

Ratio = 2.4 fluid ounces of oil for every 4 quarts of gasoline

Replacing the with the real amount of gas we have:

Ratio = 1.2 fluid ounces of oil for every 2 quarts of gasoline )dividing by 2 the oil amount and the gas amount)

<u>We should add 1.2 fluid ounces of oil </u>

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=============================================================

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