Answer: 6i) 6a² - 2ab
6ii) -2b³
6iii) b³ + 7b² - 49b
<u>Step-by-step explanation:</u>
6i) (a + b)(5a - 3b) + (a - 3b)(a - b)
= 5a² - 3ab + 5ab - 3b² + a² - ab - 3ab + 3b²
= 5a² + 2ab - 3b² + a² - 4ab + 3b²
= 6a² - 2ab
6ii) (a - b)(a² + b² + ab) - (a + b)(a² + b² - ab)
= a³ + ab² + a²b - ab² - a²b - b³ - (a³ + ab² - a²b -ab² + a²b + b³)
= a³ - b³ - (a³ + b³)
= a³ - b³ - a³ - b³
= -2b³
6iii) (b² - 49)(b + 7) + 343
= b³ + 7b² - 49b - 343 + 343
= b³ + 7b² - 49b
You are allowed a maximum of 3 questions.
Please post #7 on a different question.
Answer:
4) add 5x and 9x
answer: 14x - 30
7) subtract 28 from 15
answer: x - 13
Step-by-step explanation: sorry if it is wrong I try my best
Answer:
15 early tickets were sold and 5 regular tickets were sold.
Step-by-step explanation:
Let x be the number of early bird tickets sold and y be the number of regular tickets sold.
Total number of tickets sold = 20
Thus, we can write the equation,
Cost of early bird ticket = $10
Cost of regular tickets = $15
Total cost = $225
Thus, we can write the equation,
We solve the equation by elimination method by multiplying first equation by 10 and subtracting.
Thus, 15 early tickets were sold and 5 regular tickets were sold.
Answer:
it would be (-7,-6)
x=-7, y=-6
Step-by-step explanation:
Answer:
V = x(24 - x)^2 cm^3.
Domain = (0, 24).
Step-by-step explanation:
a. Let the lengths of the sides of the squares be x cm.
Then the lengths of the sides of the base of the box will be (24 - 2x) cm.
The height of the box will be x cm.
So the required volume
= height * area of base
So V = x(24 - x)^2
b. The domain of this function is (0, 24).
