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ella [17]
3 years ago
14

Question 15 (5 points)

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
7 0

Answer: $230

Step-by-step explanation:

Since the discount Eric got was 75% of the normal price, you would divide 172.50 by 0.75 and you would end up getting the original price, or $230.

Alenkinab [10]3 years ago
6 0

Answer:230

Step-by-step explanation:

100/75*172.5

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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
Degree 3 polynomial with zeros 4, 6, and -2.
hjlf

Answer:

Step-by-step explanation:

hello :

an Degree 3 polynomial with zeros 4, 6, and -2 is :

f(x) = (x-4)(x-6)(x+2)

all polynomial are : a (x-4)(x-6)(x+2)      a ≠ 0

4 0
3 years ago
Chuck is laying the foundation for a building that will measure 32 feet in length and 15 feet in width. According to local build
Arte-miy333 [17]

Answer:

480 ft³

Step-by-step explanation:

Volume = base area × depth

(32 × 15) × 1

480 ft³

7 0
2 years ago
Read 2 more answers
NEED NOW!
inessss [21]
D is the answer. Hope this helps!
7 0
3 years ago
Pls answer and you will be blessed :)
IRINA_888 [86]

Answer:

2

Step-by-step explanation:

It is the only one that makes sense

7 0
3 years ago
Read 2 more answers
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