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3 years ago

Please answer this correctly

Mathematics

1 answer:

goblinko [34]3 years ago

7 0

Answer:

Car: 60%

Motorcycle: 30%

Truck: 10%

Step-by-step explanation:

Car: $\frac{12}{12+6+2} =\frac{12}{20} =\frac{60}{100}$ or 60%

Motorcycle: $\frac{6}{12+6+2} =\frac{6}{20} =\frac{30}{100}$ or 30%

Truck: $\frac{2}{12+6+2} =\frac{2}{20} =\frac{10}{100}$ or 10%

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Lan make 60 cakes. he gives 1/4 of the cakes to Helen. he gives 20 of the 60 cakes to sue. what fraction of the 60 cakes does he

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5/12

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3 years ago

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3 years ago

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2 years ago

Determine if the table shows a linear or an exponential function

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Answer:

The table shows an exponential function

Step-by-step explanation:

Linear vs Exponential Functions

A linear function is written as:

$y=mx+b$

where m and b are constants.

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:

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

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

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:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

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)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

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

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

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