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aksik [14]
4 years ago
11

Can u explain and answer this question for me thanks

Mathematics
1 answer:
timama [110]4 years ago
3 0

Answer:

f(x)= x-6

g(x)= x^1/2 (x+3) =√x(x+3) = x √x + 3√x

g(x) × f(x)

=(x√x + 3√x) (x-6)

= x²√x -6x√x + 3x√x - 18√x

= x²√x -3x√x - 18 √x

= x^5/2 - 3x^3/2 - 18^1/2

= √x^5 - 3√x^3 - √18 (B)

Note:

√x = x^1/2

x √x = x^1 × √x= x^1+1/2= x^3/2

x²√x= x^2 × x^1/2 = x^2+1/2 = x^ 5/2

I hope this helps

if u have question let me know in comments ^_^

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
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Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

6(x - 1) = 9(x - 4)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   6x - 6 = 9x - 36
  2. Subtract 6x on both sides:        -6 = 3x - 36
  3. Isolate <em>x</em> term:                             30 = 3x
  4. Isolate <em>x</em>:                                      10 = x
  5. Rewrite:                                       x = 10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    6(10 - 1) = 9(10 - 4)
  2. Subtract:                              6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.

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