Answer:
3
Step-by-step explanation:
The first set is a function because each x-value has only one given y-value, the second funtion is a function because it is a quadratic equation, the third equation isn't a function because of the point of discontinuity at x=0 because of 1/0 being undefined, and the fourth equation is a linear function.
Answer:
Mean Absolute Deviation (MAD): 8.5
Step-by-step explanation:
Xmean = (28 + 32 + 47 + 16 + 40 + 35 + 38 + 54)/8 = 290/8
Xmean = 36.25
MAD =
(28 - 36.25) + (32 - 36.25) + (47 - 36.25) + (16 - 36.25) + (40 - 36.25) + (35 - 36.25) + (38 - 36.25) + (54 - 36.25) divided by 8
a break down of each ( )
(8.25) + (4.25) + (10.75) + (20.25) + (3.75) + (1.25) + (1.75) + (17.75) divided by 8 = 68
then you take 68/8 = Mean Absolute Deviation 8.5
Answer:
Euler's Formula states that:
V -E +F = 2 meaning that the vertices minus the edges plus the faces of a convex polyhedron will always equal two.
So, for the initial question, we have 40 edges and 24 faces.
So, vertices = 2 + Edges -Faces
Vertices = 2 + 40 - 24
Vertices = 18
Source: https://www.1728.org/platonic.htm
Step-by-step explanation:
Answer:
y = - 
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = 
x + 
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 
+ c ⇒ c = - 2 + =
y = - x + ← equation of perpendicular line
