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Leona [35]
4 years ago
13

Simplify log (x2-y2)- log (x-y)=

Mathematics
2 answers:
Pavlova-9 [17]4 years ago
8 0
Using the law of logarithm.  LogA - LogB =  Log(A/B)

log(x²-y²) - log(x-y) = log((x²-y²)/(x-y))

Note by difference of two squares, (x²-y²) = (x-y)(x+y)

Simplifying (x²-y²)/(x-y) = (x-y)(x+y)/(x-y) = (x+y)

Therefore log(x²-y²) - log(x-y) = log((x²-y²)/(x-y)) = log((x-y)(x+y)/(x-y)) = log(x+y)
jok3333 [9.3K]4 years ago
3 0
<span>Remember:
log A - log B=log (A/B)
(a</span>²-b²)=(a+b)(a-b).

Therefore

log (x²-y²)-log(x-y)=log[(x²-y²)/(x-y)]= log[(x+y)(x-y)  / (x-y)]=log (x+y)

Answer: <span>log (x²-y²)-log(x-y)=<span>log (x+y)
</span></span>
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Can someone help me with this? thx :)
GrogVix [38]

Answer:

Table 1 is not a function because there are two y-values with the same x-values. Remember... y values can repeat but x values cannot repeat when their corresponding y values are different.

Table 2 is a function.

You would need to omit either (3,7) or (3,-2).

Please vote brainliest! Hope this helps, have a nice day.

8 0
3 years ago
Read 2 more answers
Prepare a perpetual inventory​ record, using the FIFO inventory costing​ method, and determine the​ company's cost of goods​ sol
krek1111 [17]

Answer:

The First-In, First-Out (FIFO) inventory costing method assumes that the inventory items ordered first are the first ones sold.

Step-by-step explanation:

The First-In, First-Out inventory costing method assumes that the inventory items ordered first are the first sold. This is ideal for goods that are highly perishable, for example fresh milk. Since no figures or dates are given, we will assume that the month is March 2019 and use any figures to make the example.

Date Item      Quantity of stock Cost Price

01  Opening stock bought on Feb 28  10   100

05  Sale of 5 goods (cost is $10 each)  (5)   50

15 Purchase of stock (20 goods at $20 each) 20   400

25 Sale of 15 goods                     (15)   250  

(5 at $10 each & 10 at $20 each)

31 Closing Stock               10   200

       (20 goods bought on 15th - 10 goods sold on 25th)

The quantity on hand at the end of the month is 10 units.  

Total cost of goods on hand at end of the month = 10 units * $20 = 200.

Total cost of goods purchased during the month = $20 * 20 units = $400

Total cost of goods sold during the month = [($10 *5) + ($10 * 5)+ ($20 * 10)] = $200

6 0
4 years ago
Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.
kobusy [5.1K]

Answer:

The two lines are not parallel.

Step-by-step explanation:

Every linear equation follows this structure:

y = mx + b

y is the y value

x is the x value

m is the gradient/slope of the line

b (or sometimes c) is the y-intercept of the line

Firstly, we have to get the y term on one side by itself.

6x + y = -1

-6x        -6x

y = -6x - 1

-2x -5y = 1

+2x         +2x

-5y = 2x + 1

Secondly, we make it so the y term is just the y value.

The first equation is already like this, so we don't need to do anything to that.

-5y = 2x + 1

÷ -5  ÷ -5

y = (2x + 1) / -5

This can be expanded and simplified to:

y = -2/5x - 1/5

Thirdly, we have to compare the slopes and y-intercepts.

y = -6x - 1

y = 2/5x - 1/5

If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.

7 0
3 years ago
5/ 2 x ≤ -14<br><br> A. -10.3<br> B. -6<br> C. -5.6<br> D. -5
Advocard [28]

Answer:

C

Step-by-step explanation:

5/2x<_-14

5x<_-28

5x/5<_-28/6

X<_-5.6

4 0
3 years ago
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The length of every chord in a circle is always greater than the length of a radius.
Anika [276]

Answer:

the answer would be false

8 0
3 years ago
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