6m3 - 16m2 + 15m - 40<span> Simplify —————————————————————
2m2 + 5
</span>Checking for a perfect cube :
<span> 4.1 </span> <span> 6m3 - 16m2 + 15m - 40</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.2 </span> Factoring: <span> 6m3 - 16m2 + 15m - 40</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 15m - 40
Group 2: <span> -16m2 + 6m3</span>
Pull out from each group separately :
Group 1: (3m - 8) • (5)
Group 2: <span> (3m - 8) • (2m2)</span>
-------------------
Add up the two groups :
<span> (3m - 8) • </span><span> (2m2 + 5)</span>
<span>Which is the desired factorization</span>
<span>3m-8 is the answer</span>
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So
The manager can select a team in 61425 ways.
-46 - 4 = -50
answer is D. -50
Find the amount of change by subtracting the two quantities. Divide this number by the original (starting) quantity, and convert to percent form by moving the decimal 2 places to the right.
MrBillDoesMath!
Answer: I don't know how to draw graphs on this website but here's the "picture". Imagine the function y = absolute value(x). It looks like the English letter "V". The bottom of our V (i.e f(x) touches the x-axis when x = 6, so the "V" graph has been translated 6 units to the right of the origin. But when x = 6 the value of f(x) is 0-4 = -4 so the tip of the V is located 4 units below the x axis. Summary: g(x) looks like the absolute value function but is translated 6 units to the right of the origin and 4 units down
MrB
