Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
Answer: x = 3
Step-by-step explanation:
2(7x - 6) = 30
14x - 12 = 30
+ 12 +12
14x = 42
/14 /14
x = 3
Answer:
the smaller cubes surface area is 1/8 the surface area of the original cube
Step-by-step explanation:
one cube = 1
one cube cut (divided) into 8 pieces= 1 divided by 8
1 divided by 8 can also be written as a fraction as 1/8
Answer:
x = -2
Step-by-step explanation:
In order to find the axis of symmetry, we will have to find the x-value of the vertex.
Vertex = (-b/2a, f(-b/2a))
In x² + 4x + 6,
a = 1 , b = 4 , c = 6
Vertex = (-4/2,f(-4/2))
Vertex = (-2,f(-2))
We have found the x-value of the vertex which is -2.
Hence, line/axis of symmetry is x = -2
