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vodomira [7]
3 years ago
11

Question 4 Choose all numbers that make the inequality true. -1 >p

Mathematics
1 answer:
devlian [24]3 years ago
3 0

Answer:

0 and above

Step-by-step explanation:

it can go onto infinity put 0 or Amy positive number and you got it

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A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

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:

             y=Asin(Bx+C)+D

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
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

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.

4 0
3 years ago
The area is ___ square units
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Answer: 358 square units

Steps:
(12 * 20) + (10 * 10) + (6 * 3)
240 + 100 + 18
358
5 0
3 years ago
A survey claims that 9 out of 10 doctors (i.e., 90% recommend brand z for their patients who have children. to test this claim a
iris [78.8K]
OK 100% of doctors in the mid-1800s found to be correct and all surgeries
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Type your answer into the box. X 30° Calculate the size of angle x. angle x =​
andrezito [222]

Answer:

60°

Step-by-step explanation:

90°+30°=120°

180°_120°=60°

4 0
3 years ago
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Approximately how many feet is John away from the base of the building
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120 ft... a flat vertical line is 180 degrees, and since this is a 30,60,90 triangle, your equation is... 180-60=distance John is to the base
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