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astraxan [27]
3 years ago
5

Graph a sine function whose amplitude is 4, period is π , midline is y=−3, and y-intercept is (0, −3). The graph is not a reflec

tion of the parent function over the x-axis.
Use the sine tool to graph the function.

The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Mathematics
1 answer:
kupik [55]3 years ago
3 0

Answer:

y=4sin(2x) - 3

Step-by-step explanation:

Recall the form of a sinusoidal function is Asin(Bx + C) + D, where A is the amplitude, B is the frequency (could also be viewed as the period), C is the horizontal (phase) shift, and D is the vertical shift. Also, recall sin(x) has a period of 2π.

You start with the parent function (sin(x)).

Then, knowing the amplitude is 4: 4sin(Bx + C) + D

Then, knowing the period of the regular sine function is 2π, to get to a period of π, divide by 2 (the period of the curve changes by a factor of 1/2), so your B coefficient is 2: 4sin(2x + C) + D

There is no phase shift, so omit C: 4sin(2x) + D

Since the midline is y = -3, that is your vertical shift (D): 4sin(2x) - 3

Graph of y = 4sin(2x) - 3 is below:

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Which relation describes a function?
Kisachek [45]

Answer:

{(-2, -3), (-3, -2), (2,3), (3, 2)}

Step-by-step explanation:

A function is a set of ordered pairs in which <u>no two pairs have the same first number</u>.

In other words, an <em>x</em> cannot be paired with two <em>y</em>'s.

A function takes an <em>x</em> and pairs it with one and only one <em>y</em>.

{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.

{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.

{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.

8 0
3 years ago
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Please need help with this math question
Tomtit [17]

Answer:

third option

Step-by-step explanation:

We just have to calculate 2x² - 4x - (x² + 6x). 2x² - x² = x² and -4x - 6x = -10x so the answer is x² - 10x.

5 0
3 years ago
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8/7 = 12/k solve for k
Serjik [45]

Answer:

k = 10.5

Step-by-step explanation:

8/7 = 12/k

Using cross products

8k = 7*12

8k = 84

Divide each side by 8

8k/8 = 84/8

k = 10.5

7 0
3 years ago
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Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many p
Mkey [24]

Answer:

1,015

Step-by-step explanation:

7 pounds of honey equals 1 pound of wax

So if we have 145 pounds of was, we multiply 145 by 7

145x7= 1,015

5 0
2 years ago
Trina planted plants in her garden last week. She planted twice as many cucumbers as zucchini and eight more tomatoes than cucum
maxonik [38]

Answer:

7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.

Step-by-step explanation:

  • Let the number of tomatoes=t
  • Let the number of cucumber planted=c
  • Let the number of zucchini planted=z
  • Total Number of Plants=43

She planted twice as many cucumbers as zucchini, this is written as:

  • c=2z

She also planted eight more tomatoes than cucumbers, this is written as:

  • t=c+8=2z+8

In total, she planted 43 plants

Therefore:

z+(2z)+(2z+8)=43

5z+8=43

5z=43-8

5z=35

Divide both sides by 5

z=7

Number of Cucumbers, c=2z=2 X 7 =14

Number of Tomatoes, t=c+8=14+8=22

Therefore, she planted 7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.

3 0
3 years ago
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