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mario62 [17]
3 years ago
13

Given the parent functions f(x) = log2 (3x − 9) and g(x) = log2 (x − 3), what is f(x) − g(x)?. A. f(x) − g(x) = log2 (2x − 6). B

. f(x) − g(x) = log2 (2x − 12). C. f(x) − g(x) = log2 one third. D. f(x) − g(x) = log2 3
Mathematics
2 answers:
Bezzdna [24]3 years ago
4 0
We are given the two functions:
<span>f(x) = log2 (3x − 9)
</span><span>g(x) = log2 (x − 3)
</span>
Then,
f(x) - g(x) = log2 (3x - 9) - log2 (x - 6) 

Two logarithms of the same bases are subtracted, therefore:
log2 ((3x - 9) / (x - 3))

We factor both the numerator and the denominator by x - 3. This becomes,
log2 ((3)(x - 3) / (x - 3)) 

When further simplified, yields:
log2 (3)
Law Incorporation [45]3 years ago
3 0
F(x) - g(x) = log2 (3x - 9) - log2 (x - 6) 

When two logarithms of the same bases are subtracted they become,
                               log2 ((3x - 9) / (x - 3))
Both the numerator and the denominator can be factored by x - 3. This becomes,
                               log2 ((3)(x - 3) / (x - 3)) 
which simplifies into,
                                      log2 (3).

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STatiana [176]

Considering High School level question, answer can be written as:


A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.


Explanation:

when two lines are drawn on a two-dimensional plane then there are only three possible cases:

Case1: lines will intersect

In that case you will get a unique solution at the intersection point.


Case2: lines are parallel but don't touch each other

In that case there will be no point which lies on both lines so No solution.


Case3: lines are overlapping.

In that case all the points lies on both lines so infinitely many solutions.


6 0
3 years ago
Find the original price of a pair of shoes if the sale price is $28 after a 50% discount.
Grace [21]

Answer:

The original price was 56 dollars

Step-by-step explanation:

28 divided by 0.5 equals 56

8 0
3 years ago
5⁸<br>– = 5ⁿ<br>5⁴<br><br>work out the value of n.​
Hitman42 [59]

Answer:

5 power 2 is the answer

Step-by-step explanation:

7 0
3 years ago
8) "Sweet' and 'pungent are
pashok25 [27]

Answer:

antonyms?

Step-by-step explanation:

5 0
3 years ago
4. Two points on a line are (-10, 1) and (5, -5). If
Vsevolod [243]

Answer:

The x-coordinate of another point is zero

Step-by-step explanation:

step 1

Find the slope between the two given points

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-10,1),(5,-5)

substitute in the formula

m=\frac{-5-1}{5+10}

m=\frac{-6}{15}

Simplify

m=-\frac{2}{5}

step 2

Find the x-coordinate of another point

we have

(x,-3)

we know that

If the other point is on the line, then the slope between the other point and any of the other two points must be the same

so

Find the slope between the points

(x,-3),(5,-5)

Remember that

m=-\frac{2}{5}

substitute in the formula

-\frac{2}{5}=\frac{-5+3}{5-x}

-\frac{2}{5}=-\frac{2}{5-x}

the denominators must be the same

5=5-x

x=0

therefore

The x-coordinate of another point is zero

3 0
3 years ago
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