Answer: (9, -2)
Step-by-step explanation:
Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.
Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).
Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.
Answer:
D
Step-by-step explanation:
You can put the points in as the x and y values. 12(2)-(-1)=25 and 9(2)+(-1)=17
They can carry 80 containers each
160,000 / 2,000 = 80
Answer:
3.6 hours
Step-by-step explanation:
To solve, create a Rate, Time, Work chart:
Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.
The work is 1 job of calling all clients, so their combined work is equal to 1.
x over 6 plus x over 9 equals 1
In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together. With rational equations, the terms can be added together once they have common denominators.
x over 6 plus x over 9 equals 1
fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction
fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54
9 x plus 6 x equals 54
15 x equals 54
x equals 3.6
If Kevin and Anna work together, they can call all the clients in 3.6 hours.
