We can use the distributive property to simplify this expression.
I split this up into different parts--it helps me visualize better.
To begin, "-2m(m + n - 4)" becomes "-2m^2 - 2mn + 8m"
Then, "5(-2m + 2n)" becomes "-10m + 10n"
Finally, "n(m + 4n - 5)" becomes "mn + 4n^2 -n"
We can then simplify even further by combining like terms. The final expression is: C
Hope this helps!
Domain and range does not exist => extremely
Answer:
$84.60
Step-by-step explanation:
Multiply, since Bryon bought 3.6 cubic yards of soil and each cubic of yard cost $23.50. 3.6 x 23.50 = 84.6
Remark
This is quite a nice little problem. It takes a minute or three to figure out the answer, and when you do, you will be certain that you have been tricked. It is a little like the egg of Columbus.
Solution
The Base of Triangle ABN is AB
The Base of Triangle CDM is CD
The height of both given triangles is h. That is the distance between the two parallel lines.
Area ABN = 1/2*AB * h = 23 cm^2
Area CDM = 1/2*CD * h = 18 cm^2
Now the Area of the trapezoid is
Area_Trapezoid = 1/2 * h (AB + CD) Using the distributive property Remove the brackets.
Area_Trapezoid = 1/2*AB*h + 1/2*CD*h Did you notice something? Those terms are just the area of the triangles (written above.)
Area Trapezoid = 23 + 18 = 41 cm^2 <<<< Answer
Answer:
Step-by-step explanation:
Notation
Total = n= 4+7+5=16 people
We are going to select 3 people and will be given gift certificates to a local restaurant so then r =3.
Determine the probability that two of those selected will be from the accounting department and one will be from the sales department.
For this case we can use combinatory nCx, since the selection is without replacment.
Where (nCx) means combinatory and it's given by this formula:
So then the definition of probability is given by :
Let's begin with the total outcomes, we have a total of n=16 people and we wan't to select 3 of them, so the possible outcomes are:
And now let's analyze the possible outcomes, we need that the group of 3 would be conformed by two people from the accounting department and one from the sales deparment. So then the possible outcomes are:
And the reason is because we have a total of 5 people at the accounting and we want to select 2. And we have a total of 4 people at the sales department and we want to select just 1. And the multiplication it's because the order on the selection no matter (we assume this).
So then replacing into our formula of probability we got: