Answer:
14
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(8 + 20) / (5 - 3)
28 / 2
= 14
So, the slope is 14.
Answer:bc thats not the number included in the problem
Step-by-step explanation:
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.
Answer:
n = (123 - 3a) / 0.1
Step-by-step explanation:
Given:
3a + 0.1n = 123
Solve for n
3a + 0.1n = 123
Subtract 3a from both sides
3a + 0.1n - 3a = 123 - 3a
0.1n = 123 - 3a
Divide both sides by 0.1
n = (123 - 3a) / 0.1
The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1