"Note how for each (x,y) pair of points given we see that x*y = 60
For instance, the point (4,15) has x = 4 and y = 15 so x*y = 4*15 = 60
Another example: (x,y) = (6,10) means x = 6 and y = 10, so x*y = 6*10 = 60
The fact that this is true for ALL of the points shown indicates we have an inverse variation of the form x*y = k where k = 60 in this case.
Therefore, the answer is B.) An inverse function is the best model because the products of corresponding x- and y-values are equal."
Answer:
0.+.20.=.40Step-by-step explanation:
Answer:
f(-3) = g(-3)
Step-by-step explanation:
Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).
In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.
First option for example: f(-3) = g(4)
<em>Value of "y" for f(x) when x = -3:</em>
On the blue line, when x = -3, y = -4.
<em>Value of "y" for g(x) when x = 4:</em>
On the red line, when x = 4, y = -3.
<u>Therefore</u>:
f(-3) = g(4)
-4 = -3 <= This is false.
In the third option: f(-3) = g(-3)
<em>On f(x) blue, when x = -3: </em>y = -4
<em>On g(x) red, when x = -3: </em>y = -4
<u>Therefore</u>:
f(-3) = g(-3)
-4 = -4 <= This is true.
Answer:
72
Step-by-step explanation:
A full rotation takes 360°. From the picture, it would take 5 rotations to achieve such full degree rotation. Hence, each bit of rotation covers 360°÷5=72°
Answer: Second option.
Step-by-step explanation:
It is important to remember the Distributive Property in order to solve this exercise.
The Distributive property states that:

In this case you have the following expression provided in the exercise:

Then, in order to write this expression in another way, you can apply the Distributive property. Multiply each number inside the parentheses by "t".
Applying this procedure, you get:

Notice that this expression matches with the one shown in the the second option.