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Triss [41]
3 years ago
15

What sine function represents an amplitude of 4, a period of pi over 2, no horizontal shift, and a vertical shift of −3?

Mathematics
1 answer:
mixer [17]3 years ago
4 0

Answer:

f(x) = 4sin(\frac{\pi}{2}x) - 3, the third one

Step-by-step explanation:

Explaining the sine function:

The sine function is defined by:

S = Asin(p(x - x_{0})) + V

In which A is the amplitude, p = \frac{2\pi}{N} is the period, x_{0} is the horizontal shift and V is the vertical shift.

So, in your problem:

The amplitude is 4, so A = 4.

The period is \frac{\pi}{2}, so p = \frac{\pi}{2}.

There is no horizontal shift, so x_{0} = 0.

The vertical shift is −3, so V = -3.

The sine function that represents these following conditions is

f(x) = 4sin(\frac{\pi}{2}x) - 3, the third one

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Pls help would be appreciated.
Bezzdna [24]

Answer: The answer is 1,200 students.


Step-by-step explanation:

Well, 3/5 is 60%. So 60% + 15% is 75%. if the rest of the students are English revision then that is 25%. Since 25% is 40 and 25% times 3 is 75% then 40 times 3 would be the answer. The answer is 1,200 students.

3 0
4 years ago
Which expression gives the solutions -5x+2x^2=-6x?(1pt)
irina [24]
This is the concept of algebra, the solution of the given expression will be given as follows;
-5x+2x²=-6x
adding 5x on both sides we get
5x-5x+2x²=-6x+5x
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divide both sides by 2
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the answer is x=-1/2
8 0
4 years ago
Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the sc
Readme [11.4K]

Answer: y = $7.50x + $25

Step-by-step explanation:

From the question, we are informed that Lucy is going to walk in a fundraising event to raise money for her school band and her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25.

The equation that represents y, the total amount of money Lucy's mother will donate if Lucy walks x miles during the event will be:

= ($.750 × x) + $25

y = $7.50x + $25

Since Lucy walks x Mike's, we multiply x by $7.50 and then add the answer to the additional $25 which is the answer gotten above.

7 0
4 years ago
Rewrite (2x+1)(x-2) using the distributive property then simplify
Contact [7]
(2x+1)(x-2) = 2x^2 - 4x +x -2= 2x^2-3x-2
3 0
4 years ago
What is the slope of the line that passes through these two points? (6,4) 10 pa
kati45 [8]

Answer:

Step-by-step explanation:

(7-4)/(-2-6)= 3/-8 = -3/8 is the slope

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3 years ago
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