If its meaning making a profit after the $300 then:
540+300=840
840/24= 33.60
They would charge $33.60 per necklace.
If you were meaning a profit of $540 total then:
540/24=22.5
They would charge $22.50 per necklace.
The vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)
<h3>How to determine the vertex?</h3>
The equation of the function is given as:
f(x) = |x - 3| + 6
The above function is an absolute value function.
An absolute value function is represented as:
f(x) = a|x - h| + k
Where:
Vertex = (h, k)
By comparison, we have:
Vertex = (3, 6)
Hence, the vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)
Read more about vertex at:
brainly.com/question/16799565
#SPJ1
0.05x+0.02(2000-x)=77.5
0.05x+40-0.02x=77.5
(0.05-0.02)x=77.5-40
0.03x=37.5
X=37.5/0.03=1250 at 2%
2000-1250=750 at 5%
Angle a and b are C) supplementary angles
Answer:
- See the graphs attached and the explanation below
Explanation:
The most simple sine function, considered the parent function, is:

That function has:
- Midline, also known as rest or equilibrium position: y = 0
- Minimum: - 1
- Maximum: 1
- Amplitude: the distance between a minimum or a maximum and the midline = 1
- period: the interval of repetition of the function = 2π
The more general sine function is:

That function has:
- Midline: y = D (it is a vertical shift from the parent function)
- Minimum: - A + D
- Maximum: A + D
- Amplitude: A
- period: 2π/B
- phase shift: C (it is a horizontal shift of the from the parent function)
Now, you have to draw the sine function with the given key features:
- Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
- midline y = - 1 ⇒ D = - 1
Substitute the know values and use the y-intercept to find C:

Substitute (0, -1)

Hence, the function to graph is:

To draw that function use this:
- Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
- Minima: 3(-1) - 1 = - 3 - 1 = -4
- y-intercept: (0, - 1)
- x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
- first point of the midline: (0, -1) it is the same y-intercept
With that you can understand the graphs attached.