No, table a is not a function. It is not a function because no x coordinates can share the same y coordinates.
Part A;
There are many system of inequalities that can be created such that only contain points D and E in the overlapping shaded regions.
Any system of inequalities which is satisfied by (-4, 2) and (-1, 5) but is not satisfied by (1, 3), (3, 1), (3, -3) and (-3, -3) can serve.
An example of such system of equation is
x < 0
y > 0
The system of equation above represent all the points in the second quadrant of the coordinate system.The area above the x-axis and to the left of the y-axis is shaded.
Part B:It can be verified that points D and E are solutions to the system of inequalities above by substituting the coordinates of points D and E into the system of equations and see whether they are true.
Substituting D(-4, 2) into the system
we have:
-4 < 0
2 > 0
as can be seen the two inequalities above are true, hence point D is a solution to the set of inequalities.
Also, substituting E(-1, 5) into the system we have:
-1 < 0
5 > 0
as can be seen the two inequalities above are true, hence point E is a solution to the set of inequalities.
Part C:Given that chicken can only be raised in the area defined by y > 3x - 4.
To identify the farms in which chicken can be raised, we substitute the coordinates of the points A to F into the inequality defining chicken's area.
For point A(1, 3): 3 > 3(1) - 4 ⇒ 3 > 3 - 4 ⇒ 3 > -1 which is true
For point B(3, 1): 1 > 3(3) - 4 ⇒ 1 > 9 - 4 ⇒ 1 > 5 which is false
For point C(3, -3): -3 > 3(3) - 4 ⇒ -3 > 9 - 4 ⇒ -3 > 5 which is false
For point D(-4, 2): 2 > 3(-4) - 4; 2 > -12 - 4 ⇒ 2 > -16 which is true
For point E(-1, 5): 5 > 3(-1) - 4 ⇒ 5 > -3 - 4 ⇒ 5 > -7 which is true
For point F(-3, -3): -3 > 3(-3) - 4 ⇒ -3 > -9 - 4 ⇒ -3 > -13 which is true
Therefore, the farms in which chicken can be raised are the farms at point A, D, E and F.
Answer:
42 I think
Step-by-step explanation:
Given:
The function is:
The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.
To find:
The effect on the graph of the function.
Solution:
The transformation is defined as
.... (i)
Where, k is stretch factor and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:
...(ii)
On comparing (i) and (ii), we get
, it means the graph is vertically stretched by a factor of 2.
, it means the graph is shifted up 3 units.
Therefore, the correct option is D.
Answer:
every 10 mL of solution equals 5 cells
Step-by-step explanation:
I'm not sure if this equation is right but I think it's either 200÷40, 205÷50, or 205÷40 I hope this is kinda helpful.
