Answer:
4(2e - 3)(3e + 1)
Step-by-step explanation:
Given
24e² - 28e - 12 ← factor out 4 from each term
= 4(6e² - 7e - 3) ← factor the quadratic
Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.
product = 6 × - 3 = - 18 and sum = - 7
The factors are - 9 and + 2
Use these factors to split the e- term
6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )
= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term
= (2e - 3)(3e + 1)
Then
24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form
Answer:
At the start of 2014, the population was growing at 8.34 million people per year.
At the start of 2015, the population was growing at 8.39 million people per year.
Step-by-step explanation:
To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.
The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).
We know that the population, P(t), of China, in billions, can be approximated by 
To find the derivative you need to:
To find the population growing at the start of 2014 we say t = 0
To find the population growing at the start of 2015 we say t = 1
To convert billion to million you multiple by 1000
Answer:
The solution is 8x2 + 16x + 8. The region can be divided into a triangle and a rectangle.
Area of Triangle=
1
2
(2x + 2)(2x)
Area of Triangle = 2x2 + 2x
Area of Rectangle: (2x + 2)(3x + 4)
Area of Rectangle: 6x2 + 14x + 8
Sum of Two Regions: 8x2 + 16x + 8
Step-by-step explanation:
Answer:
I believe the answer is 12 • (x + 11) .
Answer: 40
Step-by-step explanation: If she made 4 baskets in a half an hour then one hour she would make 8 in one hour and in 2 hours she would make 16 because 8 hours from the first hour and 8 more from the second hour. Because there is 1 hour and in the hour she made 8 if she needs 5 hours just multiply 8 by 5. That would give you 40.
