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alexira [117]
3 years ago
15

Log 6 (1/36) 6 is the base. How to evaluate this?

Mathematics
1 answer:
vovangra [49]3 years ago
5 0

We can write the argument of the logarithm as a power of 6:

\log_6\dfrac1{36}=\log_6\dfrac1{6^2}=\log_66^{-2}

Then using the property that \log_ba^n=n\log_ba, we get

\log_6\dfrac1{36}=-2\log_66

and since 6=6^1, we have \log_66=1, so the value of this expression is simply -2.

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$32,520 divided by 30 people
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Step-by-step explanation:

divide 32520 by 30

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anyanavicka [17]
The answer is A.All real numbers except -2.
7 0
3 years ago
Given a table of values of a quadratic function, which of the following do you absolutely need in order to find its equation? *
nadya68 [22]

Answer:

The general form of a quadratic function is --> y = ax2 + bx + c

Since (0, -2) exists for the function, we can plug in those values:

-2 = a(0)2 + b(0) + c

-2 = 0 + 0 + c

-2 = c

So now our function so far is --> y = ax2 + bx - 2

We have two pairs of coordinates left: (-1, -8) and (3, -8).

First, plug in the first pair and simplify as much as you can:

-8 = a(-1)2 + b(-1) - 2

-8 = a - b - 2 ( add 2 to both sides )

-6 = a - b (stop here because we can't go further)

Second, plug in the second pair and simplify as much as you can:

-8 = a(3)2 + b(3) - 2

-8 = 9a + 3b - 2 ( add 2 to both sides )

-6 = 9a + 3b (stop here because we can't go further)

Now we have these two equations left:

a - b = -6

9a + 3b = -6

Now we solve for a and b using systems of equations, using one of three ways:

substitution

elimination

graphing (not my favorite, but it is doable)

Using substitution:

a - b = -6 can be rewritten as a = b - 6

plug into the second equation and solve for b

9(b - 6) + 3b = -6 (distribute the 9)

9b - 54 + 3b = -6 (combine all of the b's)

12b - 54 = -6 (add 54 to both sides)

12b = 48 (divide by 12 on both sides to isolate b)

b = 4

plug b into one of the original two equations

a - 4 = -6 (add 4 to both sides)

a = -2

The quadratic equation for this table is y = -2x2 + 4b - 2

6 0
2 years ago
Is the number 1.13 greater than, less than or equal to 1
Fantom [35]
1.13 is greater than 1
3 0
3 years ago
Please solve this quickly
adell [148]

Answer:

I Didn't see nothing

Step-by-step explanation:

So I can't help you

7 0
3 years ago
Read 2 more answers
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