Answer:
○ 
Step-by-step explanation:
![\displaystyle 6m^3 - 60m^2 + 144m \\ 6m[m^2 - 10m + 24m] \\ \\ \boxed{6m[m - 4][m - 6]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%206m%5E3%20-%2060m%5E2%20%2B%20144m%20%5C%5C%206m%5Bm%5E2%20-%2010m%20%2B%2024m%5D%20%5C%5C%20%5C%5C%20%5Cboxed%7B6m%5Bm%20-%204%5D%5Bm%20-%206%5D%7D)
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For 5, what is happening is all the points shift down negative 2 on the Y axis and then flip over the x axis.
For 6, it would flip over the Y axis and start at positive 1 x the opposite
Answer:
The answer is C) - |x - 2| + 3 = 0
Step-by-step explanation:
a) - |x - 2| + 3 > 0
The greater than means something above the graph.
b) - |x - 2| + 3 < 0
The less than means something below the graph.
c) - |x - 2| + 3 = 0
The zero doesn't do anything.
y = - a |x - h| + k = 0
(h,k) is the origin.
h is shift left/right, h = 2 so shift right 2.
k is shift up/down, k = 3 so shift up 3.
The a, affects the y-values which cause the graph to reflect across the x-axis.
Answer:
The answer is,

Step-by-step explanation:
The given product is,

= 
---------------------(1)
Now, the first product to compare is,

= - 0.25 ----------------------------(2)
The second product to compare is,

= 0.5 ------------------------(3)
The 3rd product to compare is,

= 3 ----------------------------(4)
The 4th product to compare is,

= 
= 0.05625 -----------------(5)
Comparing all the values , we get (3) is closest to (1).
Hence, we get, the answer is,

I believe you meant f(x) = x^2 - 3x - 10.
f(b) - f(a)
The ave. r. of c. formula is a. r. c = -----------------
b -a
(6)^2 - 3(6) - 10 - [(4)^2 - 3(4) - 10]
Here, a. r. c. = ------------------------------------------------------
6-4
36 - 18 -10 - 16 + 12 + 10
... which comes out to ---------------------------------------
2
a. r. c. = 7 for x^2 - 3x - 10 on the interval [4,6]