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Firdavs [7]
3 years ago
10

Is 12/50 Grader than 4/5

Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:

No, \frac{4}{5} is greater than \frac{12}{50}.

Step-by-step explanation:

The two fractions to be compared are given as:

\frac{12}{50} and  \frac{4}{5}

Now, in order to compare them, we need to make the denominator same for both the fractions and then compare their numerators.

LCD of 50 and 5 is 100. So, we try to make each denominator 100 and change the numerator accordingly.

We multiply the first fraction by \frac{2}{2} and we multiply the second fraction by \frac{20}{20} as given below:

\frac{12\times 2}{50\times 2}=\frac{24}{100}\\\frac{4\times 20}{5\times 20}=\frac{80}{100}

Now, the two new fractions are \frac{24}{100} and \frac{80}{100}.

Now, we check the numerators. The numerator that is larger among the two has the greater fraction value.

Here, 80 is greater than 24. So, fraction \frac{80}{100} is greater than \frac{24}{100} or \frac{4}{5} is greater than \frac{12}{50}.

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so we know the slope and the y- intercept

y= 1/3x + 5/3   check:   1=1/3(-2) +5/3

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Answer:

1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

Step-by-step explanation:

 For this exercise you need to know that the slope of any horizontal line is zero (m=0)

The slope of a line can be found with the following formula:

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

You can observe in the graph of the function  g(x)  given in the exercise, that this is an horizontal line.  Then,  you can conclude that its slope is:

m=0

The steps to find the slope of the function f(x) shown in the table attached, are the following:

- Choose two points, from the table:

(0,3) and (4,-1)

- You can say that:

y_2=-1\\y_1=3\\\\x_2=4\\x_1=0

- Substitute values into the formula m=\frac{y_2-y_1}{x_2-x_1}:

m=\frac{-1-3}{4-0}

- Finally, evaluating, you get:

m=\frac{-4}{4}\\\\m=-1

Therefore:

1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

8 0
3 years ago
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