Upon a slight rearrangement this problem gets a lot simpler to see.
x^3-x+2x^2-2=0 now factor 1st and 2nd pair of terms...
x(x^2-1)+2(x^2-1)=0
(x+2)(x^2-1)=0 now the second factor is a "difference of square" of the form:
(a^2-b^2) which always factors to (a+b)(a-b), in this case:
(x+2)(x+1)(x-1)=0
So g(x) has three real zero when x={-2, -1, 1}
Answer:
Step-by-step explanation:
The area of a circle split you diameter which is 8.5 then you square it equals 72.25 then you times it 3.14 =226.865 I think
Answer:
Step-by-step explanation:
A boat captain, lighthouse and its base form a right triangle.
<u>We need to find the angle opposite to 22 ft side:</u>
- tan x = 22/103
- x = arctan (22/103)
- x = 21°
<em>Note, option D should read 21° not 11°</em>
To compare the two classes, the Coefficient of Variation (COV) can be used.
The formula for COV is this:
C = s / x
where s is the standard deviation and x is the mean
For the first class:
C1 = 10.2 / 75.5
C1 = 0.1351 (13.51%)
For the second class:
C2 = 22.5 / 75.5
C2 = 0.2980 (29.80%)
The COV is a test of homogeneity. Looking at the values, the first class has more students having a grade closer to the average than the second class.
Answer:
x = 23
Step-by-step explanation:
These angles are equal to each other because they're vertical angles:
2x + 1 = 47
2x = 47 - 1
2x = 46
x = 23
