Refrection across the y-axis changes the function to y = |-x|.
Vertical stretch by a factor of 1.5 changes the graph to y = 1.5|-x|
Shifting the graph by 4 units downward changes the graph to y = 1.5|-x| - 4
Required equation is y = 1.5|-x| - 4
If he is out of flour, and needs 2 cups for each pizza. He is making three so 2x3 is 6 cups total. 20-6=14
<span>Since the problem specifically stated that the people
gather around the table, therefore we assume a circular table hence a circular
formation of gathering. Since the
arrangement is important therefore we use the permutation. </span>
nPr = n! / (n – r)!
<span>However before we proceed with our calculation we MUST
first affix a reference point since the formation is circle. Imagine that the
reference point is the 1st point made when you draw a circle, so it
is the both the 0 degrees and the 360 degrees.</span>
Let us say that one of the actors is the reference point.
So there are now only 8 actors which places can be interchanged. Since all
actors have to sit together, hence the arrangements are:
8P8 = 8! / (8 – 8)! = 40,320
Now since there are 13 total people, therefore the
arrangements of the other 4 people are:
4P4 = 4! / (4 – 4)! = 24
We multiply all to get the total number of arrangements:
<span>Total arrangements = 40320 * 24 * 1 (1 is the reference point)</span>
<span>Total arrangements = 967,680</span>
Answer:
y = 9/5x +12/5
Step-by-step explanation:
First find the slope using the two points
(2,6) and (-3,-3)
m = ( y2-y1)/(x2-x1)
= (-3-6)/(-3-2)
= -9/-5
= 9/5
Using the slope intercept form of the line
y = mx+b where m is the slope and b is the y intercept
y = 9/5x +b
Using one of the points and substituting for x and y
6 = 9/5(2) +b
Getting a common denominator
30/5 = 18/5+b
30/5 -18/5 = b
12/5 = b
y = 9/5x +12/5
Answer:
It's gonna be C and good luck!
