Answer:
First problem:
Limiting the Domain to 
(option A in the list)
Second problem:
All the three statements are true, so pick option D)
Step-by-step explanation:
Recall that a function in order to have inverse needs to be a one-to-one function. In the case of the function they give you in the problem:
the graph corresponds to a parabola with vertex at x=0 and y=1 (0, 1), and since it has two branches that correspond to equal y-values for opposite pairs of x values, it doesn't satisfy the conditions for the existence of inverse. But if we limit the Domain of it considering just one half of the graph (for example limiting the Domain to the values to one side of the parabola's vertex, then this restricted function is one-to-one and we can find its inverse.
So the option of limiting the Domain to x-values smaller than or equal to zero, suggested in option A of the list of answers will do the job we need.
In the following problem, the three first statements are true for an inverse function, so pick option D that says that all previous statements are true.
Answer:
C
Step-by-step explanation:
option c is correct
We will use the FOIL method to solve this.
(7x-7)(x+1)
Multiply 7x by x. Then, multiply 7x by 1. Then, multiply -7 by x. Then, Multiply -7 by 1.
Now, we need to simplify by combining like terms.
If you look, -7x and 7x are gone. This is because they cancel each other out.
I hope this helped and maybe consider giving me brainliest :)
Answer:
10,600
Step-by-step explanation:
The bacteria grew in 2 hours by 800. Divide that and that it by 400 per hour.
Since it is a proportional rate, we can assume that the rate continue through till midnight.
Since midnight is 12 hours after noon then the bacteria grow 400 (12)=4800.
We add this to the population at noon 5800+4800=10,600.
Answer:
The number of child tickets sold was 75 and the number of adult tickets sold was 97
Step-by-step explanation:
<u><em>The correct question is</em></u>
At the movie theater child admission is $6.30 an adult admission is $9.60 on Wednesday 172 tickets were sold for a total sales of $1403.70 How many child tickets and adult tickets were sold that day?
Let
x ----> number of child tickets sold
y ----> number of adult tickets sold
we know that
----> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both lines
Using a graphing tool
The intersection point is (75,97)
see the attached figure
therefore
The number of child tickets sold was 75 and the number of adult tickets sold was 97
