Answer:
D
Step-by-step explanation:
The factor theorem states if (x - h) is a factor of a polynomial p(x) then
p(h) = 0
However, p(h) ≠ 0 then the value obtained is the remainder.
Thus
p(3) = - 2
When p(x) is divided by (x - 3) then the remainder is - 2
Explanation:
Step 1) Add
4
to each side of the equation to isolate the
x
term while keeping the equation balanced:
12
x
−
4
+
4
=
32
+
4
12
x
−
0
=
36
12
x
=
36
Step 2) Divide each side of the equation by
12
to solve for
x
while keeping the equation balanced:
12
x
12
=
36
12
12
x
12
=
3
x
=
3
Answer:
y=1/2x - 1/2
Step-by-step explanation:
Slope intercept form is y=mx+b
The m is the slope of the line and the b is the y-intercept.
You must first the slope. The formula of a slope is (y1-y2)/(x1-x2). In this example it is (-2-3)/(-9-1) which equals 1/2. By order of elimanation we can see that y=1/2x-1/2 is correct.
X=-8 is your answer for this problem
Solution :
Given data :
20.1 33.5 21.7 58.4 23.2 110.8 30.9
24.0 74.8 60.0
n = 10
Range : Arranging from lowest to highest.
20.1, 21.7, 23.2, 24.0, 30.9, 33.5, 58.4, 60.0, 74.8, 110.8
Range = low highest value - lowest value
= 110.8 - 20.1
= 90.7
Mean = 
Sample standard deviation :
S = 29.8644
Variance = 
= 891.8823
