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Helga [31]
3 years ago
10

which of the following shows 27/54 written in prime facrtored form to help in reducing the fraction to simplest form

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
6 0
27= 3x3x3

54 = 3x3x3x2

so 27/54 = 3x3x3 /<span>3x3x3x2  by simplifying = 1/2</span>
Zigmanuir [339]3 years ago
3 0
Hello there,
27/54
As you can see from the fraction, you can say that 27 is a factor of 54. And 27 multiplied by 2 is 54
How I solve it:
Numerator : Denominator
27              :     54
Divide 27 from both sides

Numerator : Denominator
1                : 2
Thus the answer is \frac{1}{2}
Hope this helps

~Top
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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

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4 years ago
Find the gradient and intercept on the x and y axes of the straight line with the following equation.
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Answer:

gradient is 5

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x intercept, replace y with 0

y +5x= 13

0+ 5x =13

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x = 13/5

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2 years ago
6. If HJ = 7x - 27, find the value of x.<br> HI= 3x-5<br> IJ= x-1
Gnom [1K]

Answer:

x=7

Step-by-step explanation:

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3x-5

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4x-6

4x-6= 7x-27

-4x    -4x  

___________

   -6= 3x-27

  +27      +27

____________

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divide both 21 and 3x by 3

\frac{21}{3}  =  \frac{3x}{3}

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4 years ago
-3x(7x-4)+6x-(13-24x²)​
Margarita [4]

Answer:

  • 3x^2+18x-13.

Step-by-step explanation:

<u>Step 1:</u>

<em>Equation should be:</em>

  • ((0-(3x*(7x-4)))+6)-(13-(2^3*3x^2))

<u>Step 2:</u>

<em>Equation should be:</em>

  • ((0-3x*(7x-4))+6x)-(13-24x^2)

<u>Step 3:</u>

  • Factoring 3x^2+18x-13
  • The first term is 3x^2. It's coefficient is 3.
  • The middle term is +18x, it's coefficient is 18.
  • The last term, "the constant", is -13.

<em>Step 1</em>:

  • Multiply the coefficient of the first term by the constant   3 * -13 = -39

<em>Step 2:</em>

  • Find two factors of  -39  whose sum equals the coefficient of the middle term, which is 18 .
  •  -39    +    1    =    -38
  •      -13    +    3    =    -10
  •      -3    +    13    =    10
  •      -1    +    39    =    38
  • Observation : No two such factors can be found !!
  • Conclusion : Trinomial can not be factored

<u>Solution:</u>

  • <u />3x^2 + 18x - 13.

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