I believer the answer is B!
Ehh, now it's letting me answer.
So the associative property is basically as long as it's addition or multiplication, you can move around the groupings and it will still be the same.
For example, you can say:(21 * 7) (3x) instead of (21)(7)(3x)
And it would be equal to the old version.
(To answer your other question, the commutative property is you can move around all the parts of the equation as long as it's addition or multiplication.)
So basically, it would be the first one you sent me.
2n + 8 ≤ 25 |subtract 8 from both sides
2n ≤ 17 |divide both sides by 2
<u>n ≤ 8.5</u>
Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
Answer:
4.
f(x) = (x + 2)(x + 1)(x - 3) = x^3 - 7·x - 6
a = 0 ; b = -7 ; c = -6
5.
a = -3 ∧ b = -2 ∧ c = -3
