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3 years ago

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Which is the correct equation for the graph of f(x), a transformation of the graph of g(x) = log2x? A. f(x) = -log2(x + 2) B. f(

x) = log2(x − 2) + 2 C. f(x) = -log2x + 2 D. f(x) = log2x − 2

1 answer:

krok68 [10]3 years ago

8 0

Answer:

B. f(x) = log2(x − 2) + 2

Step-by-step explanation:

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Solve log base 6 (x-6) - log base 6 (x + 4) = 2

Ray Of Light [21]

Answer:

no solutions

Step-by-step explanation:

Since the two terms have the same base, we are able to use the rule for subtracting logarithms:

$log_{b}(x) - log_{b}(y) = log_{b}(\frac{x}{y} )$

Therefore, the equation can be written as:

$log_{6}(\frac{x-6}{x+4} )=2$

By using the definition of a logarithm we can say that:

$\frac{x-6}{x+4} = 6^{2}\\\frac{x-6}{x+4} = 36\\x -6 = 36x+144\\35x = -150\\x =-\frac{30}{7}$

When plugging this solution in, you find that the term $log_{6}(x-6)$ has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so $-\frac{30}{7}$ is not a valid solution. This means that there are no solutions.

4 0

2 years ago

What is the value of x in <br> 150-35x=45

Annette [7]

Your answer is x = 3 because if you take 150 and subtract it by both sides:
150 - 35x = 45
-150 -150

you have to cross out both 150 and -150, take 45 and subtract 150 which will give you -105.
-35x = -105

take -35 and divide by both sides. Cross out the two -35's. Take -105/-35 which your answer is x = 3. Hopes this helps. :)

~Shadow

7 0

3 years ago

Suppose that an individual has a body fat percentage of 19.3% and weighs 187 pounds. How many pounds of her weight is made up of

Hatshy [7]

Answer:

The individual has 36.09 pounds of body fat.

Step-by-step explanation:

Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:

(187 x 19.3) / 100 = X

3.609.1 / 100 = X

36.091 = X

Therefore, the individual has 36.09 pounds of body fat.

6 0

3 years ago

If ∠1 and ∠2 are supplementary angles and m∠1=97.54°, what is m∠2?

Zigmanuir [339]

M2 is 180-97.54 which equals 102.46

4 0

3 years ago

Read 2 more answers

A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one

salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = $\frac{2}{3}$

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = $\frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}$

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is $x$ . Then that of 3 is $2x$ (because it is twice the others). The sum of probabilities must be 1.

$x+x+x+x+x+2x=1$

$7x=1$

$x=\frac{1}{7}$

P(odd number) = $3\times$ Prob(1) + Prob(3)

= $3\times\frac{1}{7}+\frac{2}{7}$ = $\frac{5}{7}$

7 0

3 years ago