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Alex787 [66]
4 years ago
13

Which function is represented by the input-output table below? ( please help and thank you)

Mathematics
1 answer:
horsena [70]4 years ago
8 0

the answer is A

 if you multiply x by 3 then add 2 you get f(x)

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(2x^3+9x^2+x-12)/(x+4) simplify
neonofarm [45]

Answer:

<h2>2 {x}^{2}  + x - 3</h2>

Step-by-step explanation:

\frac{2 {x}^{3}  + 9 {x}^{2}  + x - 12}{x + 4}

Write 9 {x}^{2} as a sum

\frac{2 {x}^{3}  - 2 {x}^{2} + 11 {x}^{2}   + x - 12}{x + 4}

Write X as a sum

\frac{2 {x}^{3}  - 2 {x}^{2} + 11 {x}^{2} - 11x + 12x - 12  }{x + 4}

Factor out 2 {x}^{2} from the expression

\frac{2 {x}^{2}(x - 1) + 11 {x}^{2} -  11x + 12x - 12  }{x  + 4}

Factor out 11x from the expression

\frac{2 {x}^{2} (x - 1) + 11x(x - 1) + 12x - 12}{x + 4}

Factor out 12 from the expression

\frac{2 {x}^{2}(x - 1) + 11(x - 1)  + 12(x - 1) }{x + 4}

Factor out X - 1 from the expression

\frac{(x - 1)(2  {x}^{2}   + 11x + 12)}{x + 4}

Write 11x as a sum

\frac{(x - 1)(2 {x}^{2}  + 8x + 3x + 12)}{x + 4}

Factor out 2x from the expression

\frac{(x - 1)(2x(x + 4) + 3x + 12)}{x + 4}

Factor out 3 from the expression

\frac{(x - 1)(2x(x + 4) + 3(x  + 4)}{x + 4}

Factor out X + 4 from the expression

\frac{(x - 1)(x + 4)(2x + 3)}{x + 4}

Reduce the fraction with X + 4

(x - 1)(2x + 3)

Multiply the parantheses

2 {x}^{2}  + 3x - 2x - 3

Collect like terms

2 {x}^{2}  + x - 3

Hope this helps...

Good luck on your assignment...

4 0
3 years ago
An envelope is 8 centimeters wide, and it measures 17 centimeters along the diagonal. How tall is the envelope? centimeters​
Kipish [7]

Answer:

15cm

Step-by-step explanation:

  • √289-64
  • √225
  • 15cm

© the envelope is 15cm rall.

7 0
2 years ago
Read 2 more answers
Find the volume of the figure 14cm 8cm 10cm 10 cm 10 cm 8 cm
IgorC [24]

Answer:

What is the figure?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of the following reasons can be used to justify statement #4 in the proof?
8_murik_8 [283]

Answer:

SSS postulate because three sides of a triangle are are congruent

7 0
3 years ago
Read 2 more answers
Hasil dari 64^5/6 + 27^2/3 - 81^3/4 adalah<br>tolong bantuannya kakak kakak<br>​
NeTakaya

Answer:

14

Step-by-step explanation:

Given the indicinal expression 64^5/6 + 27^2/3 - 81^3/4

According to indices;

a^{m/n} = (\sqrt[n]{a}) ^m

Applying this to the question

64^{5/6} \\= (\sqrt[6]{64}) ^5\\= 2^5= 32

Similarly

27^{2/3}\\= (\sqrt[3]{27}) ^2\\= 3^2\\= 9\\

Also;

81^{3/4}\\= (\sqrt[4]{81}) ^3\\= 3^3\\= 27

Substitute inti the original equation

64^5/6 + 27^2/3 - 81^3/4

= 32 + 9- 27

= 41 - 27

= 14

Hence the required answer is 14

6 0
3 years ago
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