The domain is all real numbers and the range is all the reals at or above the vertex y coordinate (if the coefficient on the squared term is positive) or all the reals at or below the vertex (if said coefficient is negative).
Answer: Third option is correct.
Step-by-step explanation:
Since we have given by
Event A: the red die shows 1
Event B : the numbers add to 4
Event C: at least one of the numbers is 3
Event D : the numbers do not add to 9.
D' means the number add to 9.
We need to write the following statement in symbolic form:
Either the numbers add to 9 or the red die shows a 1.
So, it becomes,
Number of elements in D'∪A = 1.
Hence, Third option is correct.
Answer:
-7c - 5 can also be written -5 - 7c
Step-by-step explanation:
5c + 3 - 12c - 8
1. subtract 3 and 8
5c - 12c - 5
2. subtract 5c and 12c
-7c - 5
K so you have to set 2 equations like this
x meaning the amount of adults
and y meaning the amount of kids
x+y=11
13.5x+8.25y=111.75
Then use substitution method and you get
x=11-y from the first equation
plug that in to the second and you get
13.5(11-y)+8.25y=111.75
Solve for y in that equation by distributing and then combining like terms
148.5 - 13.5y + 8.25y = 111.75
148.5 - 5.25y = 111.75
Then, you need to subtract 148.5 from each side and cancel the negatives
5.25y=36.75
solve for y and you get
36.75/5.25 = 7
y=7
7 Children attended the movie.
Hope this heldped!