Answer:
The answer to your question is the letter B. 5y³ - 18y² + 29y - 12
Step-by-step explanation:
Data
(y² - 3y + 4)(5y - 3)
Process
1.- Multiply the first terms by 5y
(y² - 3y + 4)(5y) = 5y³ - 15y² + 20y
2.- Multiply the first terms by -3
(y² - 3y + 4)(- 3) = -3y² + 9y - 12
3.- Simplify like terms
5y³ - 15y² + 20y -3y² + 9y - 12 = 5y³ + (-15y² - 3y²) + (20y + 9y) -12
4.- Result
= 5y³ - 18y² + 29y - 12
Let their ages be g and k. Then g = k + 3.
Next: (g+7) + (k+7) = 41.
Substituting k + 3 for g in the above equation, we get k + 3 + 7 + k + 7 = 41.
Combining like terms: 2k + 17 = 41. Then 2k = 24, and k = 12.
Kevin is 12 years old and Greg is 15 years.
Let's first take a look at function G. From the first to second row, the x-value increases by 2, and the y-value increases by 8.
Thus, function G has a rate of change of 
, or 4.
In function H, there is a "2" before the "x", which means function H has a rate of change of 2.
Thus, the statement that is true is:
- Function G has a rate of change of 4, and function H has a rate of change of 2
Let me know if you need any clarifications, thanks!
~ Padoru
Answer:
Event 3 -> Event 1 -> Event 4 -> Event 2
Step-by-step explanation:
The probability of choosing a certain pen is the number of that pen in the box over the total number of pens in the box.
So we have that:
Event 1: We have 4 black pen and 20 total pens, so P = 4 / 20 = 1 / 5
Event 2: All pens are black or orange so the probability is 1.
Event 3: We don't have white pens, so the probability is 0.
Event 4: We have 2 black pen and 5 total pens, so P = 2 / 5
Listing from least likely to most likely, we have:
Event 3 -> Event 1 -> Event 4 -> Event 2
3.4 - 2/3 > x
2) simplify 3.4 - 2/3 to 8.2/3
8.2/3 > x
3) Simplify 8.2/3 to 2.733333.
2.733333 > x
switch sides
