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kherson [118]
2 years ago
13

Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves

she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 9x2 + 1
g of x equals the square root of the quantity 2 x cubed
Mathematics
1 answer:
Andrej [43]2 years ago
4 0

A function assigns the value. The function f(g(x)) represents the amount that Sonia will earn per hour by baking bread.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x)=9x²+1 and g(x)=√(2x³). Therefore, the value of f(g(x)) will be,

f(g(x)) = 9(\sqrt{2x^3})^2 + 1

            = 9(2x³) + 1

           = 18x³ + 1

The function f(g(x)) represents the amount that Sonia will earn per hour by baking bread.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

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The table shows the number of cups of water required when cooking different amounts of rice.
Harman [31]

<u>Answer-</u>

<em>The amount of water is the dependent value.</em>

<u>Solution-</u>

Plotting the graph from the given data points, it comes out to be a straight line with positive slope. So, both the variables i.e amount of rice and amount of water are in a linear relationship. They are directly proportional to each other.

As the amount of rice increases, the water needed to cook the rice also increases. Plotting a graph taking amount of rice in abscissa and amount of water in ordinate, a straight line was obtained.

Here, amount of rice is the independent variable and amount of water is dependent variable as it depends on the amount of rice.

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3 years ago
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BaLLatris [955]
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Dmitrij [34]
Consider a function f(x), the linear approximation L(x) of f(x) is given by

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Given the quantity: \frac{1}{203}

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We choose a = 200, thus the linear approximation is given as follows:

L(203)=f(200)+(203-200)f'(200) \\  \\ = \frac{1}{200} - \frac{3}{200^2} = \frac{200-3}{200^2} = \frac{197}{40,000} =0.004925
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^please answer, thanks in advance ^
Rudiy27

Answer:

There is not enough information to determine the mean, the median is 28.

There is not enough information to determine the mean absolute deviation, the interquartile range is 18

Step-by-step explanation:

The box plot given has a skewed distribution, this means that both the mean and median values are not the same. From a box plot, the median value Can be obtained as the point in between the box.

From the box plot given, the marked point in between the box is 28 cm

Hence, Median = 28 cm

The mean cannot be inferred from the skewed box plot.

There is also not enough information to determine the mean absolute deviation ;

The interquartile range:

(Q3 - Q1)

Q3 = upper quartile, the endpoint of the box = 40

Q1 = the starting point of the box = 22

IQR = Q3 - Q1

IQR = 40 - 22 = 18

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