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CaHeK987 [17]
3 years ago
12

F(x)=2x/3x^2-3 what is the domain of the function?

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0

Answer:

Step-by-step explanation:

f(x) = \frac{2x}{3x^2 - 3} \\\\ Domain: \\ 3x^2 - 3 ≠ 0 \\ 3x^2 ≠ 3 \\ x^2 ≠ 1 \\ x ≠ \pm 1

D = {x E R/ x ≠ 1 and x ≠ - 1}

I Hope I've helped you.

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When (8x − 4) = 2x is solved, the result is:
notsponge [240]

Answer:

x = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

1/2(8x - 4) = 2x

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

  1. [Distributive Property] Distribute 1/2:                                                              4x - 2 = 2x
  2. [Subtraction Property of Equality] Subtract 2x on both sides:                      2x - 2 = 0
  3. [Addition Property of Equality] Add 2 on both sides:                                    2x = 2
  4. [Division Property of Equality] Divide 2 on both sides:                                  x = 1
8 0
3 years ago
Read 2 more answers
∠B=angle, B, equals
FinnZ [79.3K]

Answer:

100

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Step-by-step explanation:

3 0
3 years ago
You need 320 mL of a 85% alcohol solution. On hand, you have a 60% alcohol mixture. How much of the 60% alcohol mixture and pure
Radda [10]

Answer:

Step-by-step explanation:

If we let x = the amount of 5% solution and y = the amount of pure alcohol, we can set up that

.05x+y is the amount of alcohol in our resulting mixture, and x+y is the total amount in our resulting mixture (which we know is 380)

so we also know that:

(.05x+y)/380 = .6

If we simplify this we come up with:

.05x+y=228

and we know x+y=380

If we solve this as a system of equations, we will find that:

x=160 ml

y=220 ml

5 0
3 years ago
(5x-1)(3x+2)(9x-4) simply
dimaraw [331]

Answer:

135x^3 + 3x^2 - 46x + 8.

Step-by-step explanation:

(5x-1)(3x+2)(9x-4)

= (5x - 1)(27x^2 + 18x - 12x - 8)

=  (5x - 1)(27x^2 + 6x - 8)

= 5x(27x^2 + 6x - 8) - 1(27x^2 + 6x - 8)

= 135x^3 + 30x^2 - 40x - 27x^2 - 6x + 8

= 135x^3 + 3x^2 - 46x + 8.

8 0
3 years ago
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What percent is 608 million of 845 million
wlad13 [49]
Hello,

To find the percentage, simply divide the smaller number to the larger number. In this situation, we divide 608 million by 845 million, which will get you:
0.719526627219. At this point, move the decimal place 2 places to the right to get the percent form of the decimal. Let's also round this decimal up.

After you move the decimal place, it's now 71.9526627219, and if we round it to the nearest 10th, it would be 71.95%.

In conclusion, the percent is 71.95%.

Hope this helps!

May
3 0
3 years ago
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