Answer:
g(a+b) = 3a² + 3b² - 6ab - 2a - 2b - 1
Step-by-step explanation:
<u>Given, function:</u>
<u>For the domain x= (a+b), the g(x) is:</u>
- g(a+b) = 3*(a+b)² - 2(a+b) - 1 = 3a² + 3b² - 6ab - 2a - 2b - 1
- g(a+b) = 3a² + 3b² - 6ab - 2a - 2b - 1
the circumference of a circle with the radius being 12.5 is C=78.54
The total amount spent on lunch per year would be 325 dollars.
<h3>What is the fundamental principle of multiplication?</h3>
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that Your lunch in the hospital cafeteria cost $6.50. Based on working 50 weeks per year, then;
The lunch in the hospital cafeteria cost = $6.50.
The total amount spend on lunch per year;
6.50 x 50
325
Hence, the total amount spent on lunch per year would be 325 dollars.
Learn more about multiplications;
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The first expression can be simplified by combining like terms.
First, the terms "4b" and "-3b" can be combined to form "b"
Then, the terms "-7" and "9" can be combined to form "2"
Finally, we simply put these two final terms together, to form "b+2"
Hence, 4b-7-3b+9 is equal to be + 2.
Hope this helps!
Answer:
The Probability of getting lemon drink on both draws is 1/16
The Probability of getting diamond on both cards is 1/17
Step-by-step explanation:
1)
No. of lemon-lime flavored bottle = 3
No. of orange flavored bottle = 4
No. of fruit punch flavored bottle = 5
Total bottles = 12
We are given that You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.
Probability of getting lemon drink on both draws with replacement =
So, The Probability of getting lemon drink on both draws is 1/16
2)
No. of diamond cards = 13
Total cards =52
Probability of getting diamond on first card = 
Probability of getting diamond on second card =
Probability of getting diamond on both cards = 
So, The Probability of getting diamond on both cards is 1/17