Answer:
x = -2, 3, -4.
Step-by-step explanation:
x^3 - 10x = -3x2 + 24 = 0
x^3 + 3x^2 - 10x - 24 = 0
The last term is 24 and the coefficient of x^3 is 1 so +/- 1, +-2, +/- 3 and +/- 4 could be among the roots ( by The Rational Root Theorem).
Let x = 1
f(x) = 1^3 +3(1)^2 - 10 - 24 = -30 so it's no t .
f(-1) = -1 + 3 + 10 - 24 = -12 so it's not -1.
Let x = 2:
f(2) = 2^3 +3*4 - 20 - 24 = -32 so its not 2
f(-2) = -8 + 12 + 20 - 24 = 0 so x = -2 is a root
and therefore x+ 2 is a factor and we divide:
x + 2 ) x^3 + 3x^2 - 10x - 24 ( x^2 + x - 12 <------ The quotient
x^3 + 2x^2
x^2 - 10x
x^2 + 2x
-12x - 24
-12x - 24
..............
Now x^2 + x - 12 = (x - 3)(x + 4)
So (x + 2)(x - 3)(x + 4) = 0
This gives
x = -2, 3, -4.
Answer:
A. True
Step-by-step explanation:
Decision analysis is the process of making decisions based on research and systematic modeling of tradeoffs. Decisions based off of research are considered to be rational.
Answer:
x = -6
Step-by-step explanation:
Here we have an equilateral triangle. All three sides have the same length, 2. Therefore, the interior angles are all equal to 60 degrees.
Therefore, 6 - 9x = 60, and -9x = 54. Dividing both sides by -9 results in
x = -54/9, or x = -6.
Answer: -8
Step-by-step explanation:
if y=6x+(-2), than y= 6x-2
if x=-1 we will replace x with this value
y=6(-1)-2=-6-2=-8
11/4% = (11/4)/100 = 11/400 = 0.0275;
1/4 = 0.2500;
1/80 = 0.0125;
We observe that 0.0125 < 0.0275 and 0.0114 < 0.0275 and 0.2500 > 0.0275 and 0.12500 > 0.0275;
The answers are c. and d.
