Answer:
6x(x+3)(x-2)=6x^3+6x^2-36x
3(x-2)(x +9)=3x^2+21x-54
Step-by-step explanation:
Answer:
Robot will take 
hour to complete each task.
The robot can complete 
tasks in one hour.
Step-by-step explanation:
We have been given that a robot can complete 8 tasks in 3/10 hour. Each task takes the same amount of time.
To find the time taken by robot to complete each task we will divide total time taken to complete 8 tasks by 8 as:
Now we will convert division problem into multiplication problem by flipping the 2nd fraction.
Therefore, robot will take hour to complete each task.
To find tasks completed by robot in one hour we will use proportions.
Therefore, the robot can complete tasks in one hour.
<h3>
Answer: B. 17</h3>
The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.
Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.
So first you need to find a formula for who has what!
Because nobody said what chase had, chase is our variable!
Chase = x
Sophie = x-6 (six less than Chase so subtraction)
Jonah = x•3 (three times the amount of Chase)
Now you will put all of this in an equation- adding everybody together! The total is 89 so that will be what’s after the equal sign!
Your equation: x+x-6+x•3=89
First you will use PEMDAS, since there are no parentheses or exponents- you’ll do multiplication first!
x+x-6+(x•3)=89
When you multiply that out, you will be left with: x+x-6+3x=89
Second you will add all common terms! Remember- the 3x means there are THREE x’s in that one spot. Take out all x’s in the equation and add them together!
x+x+3x=5x
Now you are left with:
5x-6=89
Now you will solve this like a regular equation! First, you have to move the -6 to the right so you will do the inverse operation (the opposite sign) and add 6 to both sides! 89+6 is 95 and -6+6 is 0, so the 6 on the left cancels out and isn’t there anymore!
Now you have 5x=95. To get the x by itself, you will divide both sides by 5! (Once again, doing the inverse operation! Since 5 and x are being multiplied, you have to divide.)
When you divide, you are left with x=19. In this question, the answer is:
Each person has $19.
Answer:
11 units away
Step-by-step explanation:
5 + 21 = 26
26 - 5 = 11
