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Len [333]
3 years ago
8

To which set of numbers does the following number belong 6.3 repeating

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

6.3333... belongs to rational numbers.

Any number which can be represented in the form of p/q where q\neq 0 is known as rational number.

Any repeating number is rational.

Proof:

Let x= 6.3333..........  -(i)

Multiply both sides by 10

10 x= 63.3333........... -(ii)

Subtracting equation i from equation ii

9x= 57

x=  57/9 which is in p/q form.

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Solve the equation algebraically for all values of X
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This is a problem you need to solve using logs. When you use logs you can "pull" the exponents down in front of the log to get a new equation that looks like this: 2x^3 + x^2 log 81 = 6x - 3 log 27. Now divide both sides by log 81 and 6x - 3 simultaneously to get (2x^3 + x^2)/(6x - 3) = (log 27)/(log 81). If you do the log math on the right side you get .75. Now multiply both sides by 6x-3 to get 2x^3+x^2 = .75(6x-3). If you distribute that out on the left side you'll get 2x^3+x^2=4.5x-2.25. Now move everything over to the left side and set the whole thing equal to 0: 2x^3+x^2-4.5x+2.25=0. When you solve for x, you are in essence factoring, so do this by grouping: x^2(2x+1)-2.25(2x+1). Now finally factor out the 2x+1 to get (2x+1)(x^2-2.25). You're not done yet though cuz you need to solve each of those for x: 2x+1=0, and x= -1/2; x^2=2.25, and x=+/- 1.5. So all the values for x here are -1/2, 1.5, and -1.5

5 0
3 years ago
I FORGOT THE LAST ONE
zalisa [80]
I think it’s 3.2 but I don’t know
5 0
3 years ago
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Alla [95]

Answer:

(-3, ∞)

Step-by-step explanation:

Since this is an upward opening parabola, it will expand as it approaches infinity, so the first and second answers are wrong.

We can tell by the graph that the y value of the vertex is at -3, so that means the answer can't be the fourth one.

Therefore, the answer is (-3, ∞)

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3 years ago
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6 0
3 years ago
Hey can you please help me posted picture of question
Nady [450]
(8x^2+5x+3)+(-5x^6-2x^5+4x^2-2x)=
8x^2+5x+3-5x^6-2x^5+4x^2-2x=
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-5x^6-2x^5+4x^2+3x+3

Answer: Option B. -5x^6-2x^5+4x^2+3x+3
3 0
3 years ago
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