Answer:
2
Step-by-step explanation:
Slope: (y₂ - y₁) / (x₂ - x₁)
Putting in the values we have:
(11 - 5) / (20 - 17) =
6 / 3 = 2
Thus, the slope is 2.
Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
Answer:
25.00 < (with a line under it) 4.50+2.50x
Step-by-step explanation:
Answer:
The following functions would move the graph of the function to the right on the coordinate plane.
C) 
G) 
Step-by-step explanation:
We need to check for those functions which shows a horizontal shift of graph to the right.
Translation Rules:
Horizontal shift:
If 
the function shifts 
units to the left.
If 
the function shifts units to the right.
Vertical shift:
If the function shifts units to the up.
If the function shifts units to the down.
Applying rules to identify the translation occuring in each of the given functions.
A) 
Translation: 
The translation shows a shift of 2 units to the left and 7 units down.
B) 
Translation: 
The translation shows a shift of 3 units down.
C)
Translation: 
The translation shows a shift of 3 units to the right and 1 units up.
D) 
Translation: 
The translation shows a shift of 4 units up.
F) 
Translation: 
The translation shows a shift of 6 units to the left.
G)
Translation: 
The translation shows a shift of 5 units to the right.
