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2 years ago

Long division x^3 - 6x^2 + 13x -12 over x - 3

Mathematics

1 answer:

kari74 [83]2 years ago

3 0

Complete solution is given in attachment below.

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The value of

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

Let us assume that:

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

We can also write it as:

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

Comparing the given equation with ax² + bx + c = 0, we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

By quadratic formula:

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

But "x" cannot be negative. Therefore:

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

4 0

2 years ago

The two cities Midway and Union are 40 km from each other. How far apart would the cities be on a map that has a

allochka39001 [22]

Answer:

4cm

Step-by-step explanation:

40÷10=4 and each dm is 10 km

8 0

3 years ago

Mrs.Anderson is giving a test in her third period class she has decided to record the amount of time that each student takes to

ICE Princess25 [194]

The graph Plot of the given results shown represents; A relation only

<h3>How to interpret a scatter plot?</h3>

For it to be a function, then no x-value can produce more than 2 y-values. However, we see that at x = 25, y has 2 values. Similarly, at x = 15, y has two values.

Thus, the graph plot can only be a relation as it is not a function as seen from the points plotted in the graph.

The complete question is;

Mrs. Anderton is giving a test in her third-period class. She has decided to record the amount of time that each student takes to finish the test (in minutes) and compare that to the grade each student receives on the test (out of 100). A plot of her results is below. Which of the following does this situation represent?

A. both a relation and a function

B. a function only

C. neither a relation nor a function

D. a relation only

Read more about Scatter Plot at; brainly.com/question/6592115

#SPJ1

8 0

1 year ago

b) Calculate the area of the window using the dimensions given in Part A. Show your work and explain your reasoning. (4 points)

fredd [130]

Where’s the window i think you forgot to attach something

6 0

2 years ago

Read 2 more answers

Bella is shopping for a 60" TV. She has found the following options that she likes. Bella wants to get the best deal on her TV.

Sidana [21]

Answer:

TV #3

Step-by-step explanation:

The others cost more.

7 0

2 years ago