Answer:
Step-by-step explanation:
In the simplified expression, the coefficient of the term b² is -1.
<h3>Order to solve Math Operations</h3>
When you solve any Math Operations, it is necessary to be attentive to the order of the operations.
First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon, you can solve multiplication or division operations from left to right. Finally, addition or subtraction from left to right
See the order below
- Parentheses
- Exponents
- Multiplication or Division from left to right
- Addition or Subtraction from left to right
The question gives the expression (4a² +2ab) - (2a² -ab + b²). Therefore, for solving the expression you should follow the order of the math operations.
4a² +2ab -2a² +ab - b²
2a²+3ab-b²
Like, there are no more similar terms. Therefore, you can represent the expression (4a² +2ab) - (2a² -ab + b²) by the expression 2a²+3ab-b².
Learn more about the algebraic expression here:
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Answer:
10/21
Step-by-step explanation:
After the first balloon is gone, there is only 21 balloons left with 10 being yellow. Therefore, the is a 10/21 probability that it is yellow.
Answer:
1. 3sqrt(2)
Choice C
2. 2sqrt(3)
Choice D
Step-by-step explanation:
1. sqrt(x+3)
sqrt(15+3)
sqrt(18)
sqrt(9*2)
sqrt(9)sqrt(2)
3sqrt(2)
Choice C
2. 6/sqrt(x)
6/sqrt(3)
no radicals in the denominator, multiply by 1 in the form of the radical
6/sqrt(3) * sqrt(3)/sqrt(3)
6sqrt(3)/ (sqrt(3)*sqrt(3))
6sqrt(3)/3
2sqrt(3)
Choice D
Given:
1 mile = 5280 feet
1 meter = 3.3 feet
convert 60 miles per hour to meters per second
60 miles to meters
60 miles x <u>5280ft</u> x <u>1meter</u> = (60*5280m)/3.3 = 316800m/3.3
1 mile 3.3ft
= 96,000 meters
1 hour to seconds
1 hour x <u>60 minutes</u> x <u>60 seconds</u> = 1 * 60 * 60sec = 3600 seconds
1 hour 1 minute
unit rate: meters per second
96000 meters ÷ 3600 seconds = 26 2400/3600
simplify 26 2400/3600 ⇒ 26 2/3 meters per second
2400 ÷ 1200 = 2
3600 ÷ 1200 = 3
