Answer:
Step-by-step explanation:
(3x^2 + 2x - 3)(x-1)
Expanding the brackets
x(3x^2 +2x - 3) -1(3x^2 +2x -3)
3x^3 +2x^2 -3x -3x^2 -2x + 3
3x^3 - x^2 - 5x + 3
Since perimeter means all around it just means adding all the sides. Because you are given length and width your equation would then be, " (5)+(5)+(2x=14)+(2x+14). Now since area means length times width you would multiply length times width. Since x=7 you would multiply 7x5 and the area equals 35. Questions 35-37 are indeed correct. You're smart ! By the way I'm twelve so hopefully you found this helpful.
Answer: 22) A
<u>Step-by-step explanation:</u>
First, order doesn't matter so it is a Combination.
<em>In other words, it doesn't matter which person was chosen 1st, 2nd, 3rd, or 4th to bring food because they are all bringing "food".</em>
Next, If you are going to choose person to 4 people to bring food out of a total of 4 + 3 + 1 = 8 people, you get → ₈C₄
And you are going to choose 3 people to bring decorations out the remaining 8 - 4 = 4 people, you get → ₄C₃
And you are going to choose 1 person to be the host out of the remaining 4 - 3 = 1 person, you get → ₁C₁
"And" means multiplication so altogether you get ⇒ ₈C₄ × ₄C₃ × ₁C₁
Answer:
b > 100
Step-by-step explanation:
Answer:
<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.
Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:
n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).
So, n can be written as 3 times another integer, thus n is divisible by 3.
<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.
Assume that n is divisible by 3. The above proof suggest that we write it as
n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).
As k, k+1, k+2 are three consecutive integers, we have completed our goal.
Step-by-step explanation:
