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Allisa [31]
3 years ago
10

"A serving of fish contains 50 g protein and 4 g of fat. If protein has a caloric value of 4 kcal/g and fat has 9 kcal/g, how ma

ny kcal are in the serving?"
Mathematics
1 answer:
evablogger [386]3 years ago
7 0

Answer: 236 kcal

Step-by-step explanation:

Given : A serving of fish contains 50 g protein and 4 g of fat.

i.e. content of protein = 50 g

content of fat = 4 g

Also, The caloric value in protein = 4 kcal/g

The caloric value in fat = 9 kcal/g

Calories in 50 g  protein = (content of protein)x (caloric value in protein )

= 50g x 4 kcal/g = 200 kcal

Calories in 4 g fat=  (content of fat)x (caloric value in fat)

=4 g x  9 kcal/g =  36 kcal

Then, the total calories in the serving will be :Calories in 50 g  protein + Calories in 4 g fat

= 200 kcal+ 36 kcal =236 kcal

Hence, there are 236 kcal  in the serving.

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The functions are inverses; f(g(x)) = x ⇒ answer D

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Step-by-step explanation:

* <em>Lets explain how to find the inverse of a function</em>

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∴ f^{-1}(x)=g(x)

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* <em>Lets find the inverse of h(x)</em>

∵ h(x) = 3x² - 1 where x ≥ 0

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- Exchange x and y

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- Take √ for both sides

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∴ We will chose the positive value of the square root

∴ \sqrt{\frac{x+1}{3}}=y

- replace y by h^{-1}(x)

∴ h^{-1}(x)=\sqrt{\frac{x+1}{3}}

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