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3 years ago

Factorise 3c^2-c Please help me quick

Mathematics

1 answer:

Dafna11 [192]3 years ago

5 0

Answer:

c(3c - 1)

Step-by-step explanation:

3c² - c

Common factor = c

Factored:

c(3c - 1)

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The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate

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There are 4 quadrants and each quadrant is has a measure of 90° angle.

Because the direction is positive, it means that the arm is going from 1st quadrant to 2nd quadrant.

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Because there is an additional rotation of 25°, the arm is now in the 3rd quadrant.

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Step-by-step explanation:

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2 years ago

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Answer:

A) x-3 and D) x+9

Step-by-step explanation:

x^2 + 6x - 27

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Which statements about these two functions are true? Select the TWO that apply. Function A is a linear function and Function B i

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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:

<u><em>Verify each statement</em></u>

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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