(-2)+(-2)+(-2)+(-2)
=-2-2-2-2
= -8
Answer:
the third one: -15 <= 4x-3 < 5
T=2π/|b|. The period of an equation of the form y = a sin bx is T=2π/|b|.
In mathematics the curve that graphically represents the sine function and also that function itself is called sinusoid or sinusoid. It is a curve that describes a repetitive and smooth oscillation. It can be represented as y(x) = a sin (ωx+φ) where a is the amplitude, ω is the angular velocity with ω=2πf, (ωx+φ) is the oscillation phase, and φ the initial phase.
The period T of the sin function is T=1/f, from the equation ω=2πf we can clear f and substitute in T=1/f.
f=ω/2π
Substituting in T=1/f:
T=1/ω/2π -------> T = 2π/ω
For the example y = a sin bx, we have that a is the amplitude, b is ω and the initial phase φ = 0. So, we have that the period T of the function a sin bx is:
T=2π/|b|
Answer:
1. x = 30
2. x = 39
Step-by-step explanation:
1.
4x and ( 3x + 30 ) are alternate exterior angles,
Alternate exterior angles are equal.
4x = 3x + 30
4x - 3x = 30
x = 30
2.
x and ( 3x + 24 ) are co - interior angles.
Sum of co - interior angles is 180,
x + 3x + 24 = 180
4x + 24 = 180
4x = 180 - 24
4x = 156
x = 156 / 4
x = 39
