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1 year ago

Solve 13/12+4/12 and show on number line

Mathematics

1 answer:

Veronika [31]1 year ago

5 0

The Solution:

We are asked to evaluate:

$\frac{13}{12}+\frac{4}{12}$

There is a common denominator of 12, so, we have

$\frac{13+4}{12}=\frac{17}{12}=1\frac{5}{12}$

Showing the solution on a number line, we get:

Therefore, the correct answer is

$\frac{17}{12}=1\frac{5}{12}$

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3 years ago

Write -2.42 as a fraction in simplest form?

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Step-by-step explanation:

-2.42

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Written in simplest form, the expression (x^2)(y^2)-9 over 3-xy is equivalent to

Ilya [14]

((x^2)(y^2) - 9) *(3 - xy).

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(x^2)(y^2) - 9 = (xy)^2 - 3 ^2 = (xy - 3)(xy + 3). (Take note)

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Your question said: ((x^2)(y^2) - 9) times (3 - xy),
Don't you think it should be divide? Would solve it as divide.

((x^2)(y^2) - 9) /(3 - xy) = (xy - 3)(xy + 3) / -(xy - 3)

= -(xy + 3).

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3 years ago

Consider the graph of the quadratic function. Which interval

Zolol [24]

Answer:

Option D. 1 to 2.5

Step-by-step explanation:

The complete question is

Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?

Options:

A. –2 to –1

B. –1.5 to 0

C. 0 to 1

D. 1 to 2.5

see the attached figure to better understand the problem

we know that

The quadratic function in the graph represent a parabola open downward

The vertex represent a maximum

The x-coordinate of the vertex is approximately 0.5

The axis of symmetry is x=0.5

The function is increasing for x < 0.5 interval (-∞,0.5)

The function is decreasing for x > 0.5 interval (0.5,∞)

Remember that

If the function is decreasing, the rate of change is negative

If the function is increasing, the rate of change is positive

The rate of change is negative in the interval (0.5,∞)

therefore

Option A. –2 to –1 ----> rate of change is positive

Option B. –1.5 to 0 ----> rate of change is positive

Option C. 0 to 1 ---> (0,0.5) the rate of change is positive and (0.5,1) the rate of change is negative

Option D. 1 to 2.5 ---> the rate of change is negative

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3 years ago