Answer:
The simplified expression for the given expression will be:
c. ![2x-0.2y](https://tex.z-dn.net/?f=2x-0.2y)
Step-by-step explanation:
Given expression:
![(-7x+5.1y)-(-9x+5.3y)](https://tex.z-dn.net/?f=%28-7x%2B5.1y%29-%28-9x%2B5.3y%29)
To simplify the expression.
Solution:
In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.
<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>
So, we have:
⇒ ![-7x+5.1y+9x-5.3y](https://tex.z-dn.net/?f=-7x%2B5.1y%2B9x-5.3y)
Combining like terms
⇒ ![-7x+9x+5.1y-5.3y](https://tex.z-dn.net/?f=-7x%2B9x%2B5.1y-5.3y)
<em>The like terms can be evaluated as</em>
![-7x+9x=2x](https://tex.z-dn.net/?f=-7x%2B9x%3D2x)
![5.1y-5.3y=-0.2y](https://tex.z-dn.net/?f=5.1y-5.3y%3D-0.2y)
Thus, the simplified expression will be:
⇒ ![2x-0.2y](https://tex.z-dn.net/?f=2x-0.2y)
15 + 45
GCF = 15
15/15 = 1
45/15 = 3
(15 * 1) + (15 * 3) =
15(1 + 3) <===
Using it's concept, the probability that exactly two of the dice show a 1 and exactly two of the dice show a 2 is: 10/243.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
One of the six numbers is of 1, and also one out of six is 2. The other two trials can be any of the other 4 numbers, hence the probability for the six rolls has the following format:
p = (1/6)² x (1/6)² x (4/6)²
This considers just one order, while there are six rolls, hence there are 6! possible orders, hence the probability is:
p = 6! x (1/6)² x (1/6)² x (4/6)² = 120 x 16/46656 = 10/243.
More can be learned about probabilities at brainly.com/question/14398287
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Step-by-step explanation:
x² = 16
x = ±√16
x = ±4
x = -4 or 4
939/10000
I hope this helps!