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3 years ago

Mario painted 2/6 of the wall in his bedroom. Mei Lyn painted 2/4 of a wall in her bedroom.

1 answer:

4 0

Well I am assuming you want to compare them or something so yeah:

You have to find a common denominator of 4 & 6, so you could multiply them together, this makes 24. Because you have to do the same thing to the top and the bottom, you have to multiply 2/4 (which is now 2/24) by 6, and the 2/6 (which again is 2/24) by 4 which leaves you with 12/24 (2/4) and 8/24 (2/6).

We can simplify these fractions by dividing them, but as you may know 12 is half of 24 so 12/24 would also be 1/2.
If you keep dividing by 2 you will find that 8/24 is also equal to 1/3. This is easier to find out by the beginning number but I mentioned it anyway because I didn't understand what you were asking.

Overall if you noticed when comparing 2/4 and 2/6 we found that Mei Lyn painted more wall than Mario.

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Step-by-step explanation:

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2 years ago

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2 years ago

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Answer:

Function A is a linear function and Function B is a nonlinear function

Function A has a positive rate of change

Step-by-step explanation:

Verify each statement

Option 1) Function A is a linear function and Function B is a nonlinear function

The statement is True

Because

Function A

The function A represent a proportional relationship that can be expressed in the form

Find the value of k

For x=1, y=5 ----> $k=\frac{5}{1}=5$

For x=2, y=10 ----> $k=\frac{10}{2}=5$

For x=3, y=15 ----> $k=\frac{15}{3}=5$

$y=5x$

The graph is a straight line

therefore

Function A represent a linear function

Function B

we have

$y=4x^2+2$

This is a quadratic equation (vertical parabola open upwards)

The graph is a curved line

therefore

Function B represent a nonlinear function, because the graph is not a straight line

Option 2) Function B has two y-intercepts at (0, 2) and (0, –2)

The statement is False

Because

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=4(0)^2+2=2$

Therefore

The function B has only one y-intercept at (0,2)

Option 3) Function A has a positive rate of change.

The statement is True

Because

The rate of change of the function A is equal to the slope

The slope of the function A is m=5

Is a increasing function

As x increases the value of y increases

As x decreases the value of y decreases

Option 4) Function B has a negative rate of change

The statement is False

Because

To find the average rate of change, we divide the change in the output value by the change in the input value

we have

$y=4x^2+2$

Is a vertical parabola open upward

The vertex of the function B is the point (0,2)

For the domain ----> (-∞,0)

The function is decreasing ( the rate of change is negative)

For the domain ----> (0,∞)

The function is increasing ( the rate of change is positive)

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3 years ago