A sinusoid is cyclical and has a period or frequency.
y = sin x is a sinusoid, with a period of 2π.
y = √x is not a sinusoid.
y = cos x is a sinusoid with a period of 2π.
Answer: y = √x is not a sinusoid.
Answer: x = 1
Step-by-step explanation:
Simplifying
-4(-6x + 3) = 12
Reorder the terms:
-4(3 + -6x) = 12
(3 * -4 + -6x * -4) = 12
(-12 + 24x) = 12
Solving
-12 + 24x = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 24x = 12 + 12
Combine like terms: -12 + 12 = 0
0 + 24x = 12 + 12
24x = 12 + 12
Combine like terms: 12 + 12 = 24
24x = 24
Divide each side by '24'.
x = 1
Simplifying
x = 1
The calculations for 2, 4, 8 year can be derived as follows,
For simple interest:
S.I = 
P= principle
T= Time
R= Rate
For 2 year;
S.I = 
= $224
Amount = $2224
For 4 year;
S.I = 
= $448
Amount = $2448
For 8 year;
S.I = 
= $896
Amount = $2896
= 3x(2x^2 - 4x - 5) - 6(2x^2 - 4x - 5)
= 6x^3 - 12x^2 - 15x - 12x^2 + 24x + 30
= 6x^3 - 24x^2 + 9x + 30 (answer)
You can use compatible numbers to estimate quotient because they are easy to compute with mentally.
Hope this helps.
