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Korvikt [17]
3 years ago
8

What is the constant of proportionality in the equation 6y=3x6y=3x6, y, equals, 3, x?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0
For this case we have the following equation:
 6y = 3x
 From here, we must clear the value of y.
 We have then:
 y = (3/6) x
 Rewriting we have:
 y = (1/2) x
 The proportionality constant is:
 k = 1/2
 Answer:
 the constant of proportionality in the equation 6y = 3x is:
 1/2
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If f(x)=4x3+3x2−5x+20 and g(x)=9x3−4x2+10x−55, what is (g−f)(x)?
Montano1993 [528]

Answer:

Step-by-step explanation:

(g-f)(x) = 9x³ - 4x² + 10x - 55 - [ 4x³ +3x² - 5x + 20]

To remove the parenthesis, take - inside, multiply f(x) by -1

= 9x³ - 4x² + 10x - 55 -  4x³ - 3x² + 5x - 20  

Now, bring like terms together,

= 9x³ - 4x³ - 4x² - 3x² + 10x + 5x - 55 - 20

= 5x³ - 7x² + 15x - 75

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3 years ago
Two students, Carlos and Sophie, factored the trinomial -4x2 − 10x + 6. Sophie factored it as -2(2x − 1)(x + 3) and Carlos facto
damaskus [11]

Sophie has factored the term completely while Carlos has not factored the term completely.

Step-by-step explanation:

We need to factor the trinomial:

-4x^2-10x + 6

Factoring:

-4x^2-10x + 6\\Taking\,\,-2\,\,common:\\-2(2x^2+5x-3)\\Now\,\,factoring:\\-2(2x^2+6x-x-3)\\-2(2x(x+3)-1(x+3))\\-2(2x-1)(x+3)

So, the factored form of -4x^2-10x + 6 is -2(2x-1)(x+3)

So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.

Keywords: Factoring the terms

Learn more about Factoring the terms at:

  • brainly.com/question/1464739
  • brainly.com/question/1464739
  • brainly.com/question/2568692

#learnwithBrainly

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