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lilavasa [31]
2 years ago
5

Use the drawing tool(s) to form the correct answers on the provided number line. plot the value(s) on the number line where this

function is equal to zero: f(x) = (x 5)(x − 1).
Mathematics
1 answer:
grandymaker [24]2 years ago
3 0

Plot a parabola that cuts the x-axis cut at x = -5 and 1, and a turning point at y = -5.

<h3>What is a parabola?</h3>
  • A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
  • It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
  • A point and a line are two ways to describe a parabola.

To plot the value(s) on the number line where the given function is equal to zero:

The equation is written as: y = (x+5)(x-1)

This is further written as:

  • (x+5)(x-1) = 0 and x+5 = 0
  • x- 1 = 0
  • Giving x = -5 and x = 1.

The highest point occurs when x = 0, which is (5)(-1) = -5

Therefore, plot a parabola that cuts the x-axis cut at x = -5 and 1, and a turning point at y = -5.

Know more about parabola here:

brainly.com/question/4061870

#SPJ4

The correct question is given below:

Use the drawing tool(s) to form the correct answers on the provided number line. plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).

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What is the least common denominator for the rational expressions 1 / x² -5 x-6} and 1/x²-12 x+36 ? Show your work.
enot [183]

The least common denominator for the rational expressions 1/x²-5x-6 and 1/x²-12 x+36 is  (x-6)(x+1)(x-6).

In the given question

=\frac{1}{x^{2} -5x-6} , \frac{1}{x^{2} -12x+36}  ...(i)

First we will factor each denominator

So,

x²-5x-6

On splitting the factors of the above expression , we get

(x+1)(x-6)   ....(ii)

x²-12x+36

On splitting the factors of the above expression , we get

(x-6)(x-6)    ...(iii)

Substituting the value of (ii) and (iii) in (i) ,we get ;

=\frac{1}{(x+1)(x-6)} , \frac{1}{(x-6)(x-6)}

As the LCM of denominator is the Least common denominator , we have

LCM of (x+1)(x-6) and (x-6)(x-6)

LCM=(x-6)(x+1)(x-6)

Hence the LCD is (x-6)(x+1)(x-6).

Therefore , the least common denominator for the rational expressions 1/x²-5x-6 and 1/x²-12 x+36 is  (x-6)(x+1)(x-6).

Learn more about Least Common Denominator here brainly.com/question/11879136

#SPJ4

7 0
1 year ago
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