Answer:
m=3/4
Step-by-step explanation:
Answer:
B. survey a random sample of 7th-grade students
Step-by-step explanation:
this answer would make the most sense because it is a example of a random statistical question.
Answer:
Step-by-step explanation:
We have a piesewise function composed of three pieces. two line segments and one point.
The first line cuts at point (0,0) and ends at point (3, -1)
If we use these two points we can find the equation of the line.
The slope m is:
So the equation is:
As the line cuts in (0,0) then 
and the equation is:
The equation of the second line is:
Now we can find f(x) (although it is not necessary to find the equation of f(x) because we have its graph)
if 
; 
if 
; 
if 
.
The limit of f(x) when x tends to 3 from the left 
is the limit of the function when x approaches 3 from the left. If x approaches 3 from the left then 
. If then f(x) is given by the line . Then the limit is -1 as seen in the graph
Answer:
Package A
Step-by-step explanation:
$0.99 ÷ 12oz = 0.0825
2lb = 32oz
$2.56 ÷ 32oz = 0.0800
therefore the package a is a better deal
Answer:
f(x) = x³ + 3x² - 6x - 8
Step-by-step explanation:
given the zeros of a polynomial x = a, x = b, x = c then
(x - a), (x - b), (x - c) are the factors of the polynomial and f(x) is the product of the factors
here x = - 1, x = 2 and x = - 4 are the zeros, hence
(x + 1), (x - 2) and (x + 4) are the factors
f(x) = a(x + 1)(x - 2)(x + 4) ← a is a multiplier
let a = 1, then
f(x) = (x + 1)(x - 2)(x + 4)
= (x² - x - 2)(x + 4)
= x³ - x² - 2x + 4x² - 4x - 8
= x³ + 3x² - 6x - 8
