Answer:
Choices 2, 3, and 5 are correct.
Step-by-step explanation:
Complete question is:
Check all that apply.
1. ln ab² - ln a
2. ln a + 2 ln b
3. ln a² + ln b² - ln a
4. 2 ln ab
5. ln ab²
ANSWER:
The given expression is : 2 ln a + 2 ln b - ln a
It simplifies to: ln a + ln b² = ln ab²
Checking the given options.
1. ln ab² - ln a = ln (ab²)/a = ln b²
FALSE
2. ln a + 2 ln b = ln ab²
TRUE
3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²
TRUE
4. 2 ln ab = ln a²b²
FALSE
5. ln ab²
TRUE
The solution of the given system of equation is x = -3 and y = 4 respectively.
<h3>What is a system of linear equations?</h3>
A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
The given system of equations is as,
y = 4x + 16 (1)
y = −2x − 2 (2)
In order to solve them, substitute equation (2) into (1) as follows,
4x + 16 = −2x − 2
=> 4x + 2x = -2 - 16
=> 6x = -18
=> x = -3
Then, y = -2 × -3 - 2 = 4
Hence, the solution of the given system of equation is x = -3 and y = 4.
To know more about system of equations click on,
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There are 12 face cards in a deck, and one you draw the first face card there will be 11 left so:
(12/52)*(11/51)=132/2652=11/221
No shel will not have enough tile. If you don't know the dimensions of the actual tile how will you solve. If you have a closet 18 square feet it could be 9 ' x 2 ' = 18 square feet. If the tiles were 12" x 6" you would need 36 tiles. If the closet was 6' x 3' = 18 square feet you could have the tiles 12" x 6" = 36 tiles. So you need to know the dimensions of the tile.
