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1 year ago

Tallulah has a dimes and y nickels. She has at most 18 coins worth at

Mathematics

1 answer:

nexus9112 [7]1 year ago

3 0

One possible solution for the system of inequalities is given as follows:

13 dimes and 2 nickels.

<h3>How to obtain the system of inequalities?</h3>

The first step in obtaining the system of inequalities is identifying the variables, which are given as follows:

Variable x: number of dimes that Tallulah has.

Variable y: number of nickels that Tallulah has.

Tallulah has at most 18 coins, hence:

x + y ≤ 18.

A nickel is worth 5 cents = $0.05, while a dime is worth 10 cents = $0.1, and Tallulah has at least $1.20 combined, hence:

0.1x + 0.05y ≥ 1.20.

The solution is given by the shaded region on the image given at the end of the answer, and one possible solution is given as follows:

x = 13, y = 2.

Which means that she has 13 dimes and 2 nickels.

More can be learned about a system of inequalities at brainly.com/question/9774970

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Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

$y=mx+b$

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If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

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If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

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Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

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Testing other points we'll find the same ratio, thus the table is an exponential function

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3 years ago

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Alex17521 [72]

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3 years ago

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larisa86 [58]

Answer:

a) 2048

b)164

c)54

d) 11

Step-by-step explanation:

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3 years ago

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Answer:

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3 years ago

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Anon25 [30]

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