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Nina [5.8K]
3 years ago
9

Find a function of the form y=Asin(kx)+C or y=Acos(kx)+C whose graph matches this one:

Mathematics
1 answer:
kumpel [21]3 years ago
4 0

Answer:

  y = 4cos((π/5)x) +3

Step-by-step explanation:

The graph shows the peak of the function to be at x=0, so a cosine function is an appropriate choice for the model.

The value of A is half the difference between the minimum and maximum, so is ...

  A = (1/2)(7 -(-1)) = 4

The value of C is the average of the maximum and the minimum, so is ...

  C = (1/2)(7 +(-1)) = 3

The value of k must be chosen so that for one full period, kx is 2π. We note that one minimum is at -5, and the next is at +5, so the period of this waveform is (5 -(-5)) = 10. Then ...

  k·10 = 2π

  k = π/5 . . . . . divide by 10 and reduce the fraction

Now, we have all the parameters of our function:

  y = 4cos((π/5)x) +3

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There is a child that weighs 90 pounds and every time he eats pizza he gains 5 pounds every week if he ate pizza for 3 weeks how
vladimir2022 [97]

Answer: 105

Step-by-step explanation: 90+5+5+5

7 0
4 years ago
As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o
seraphim [82]
This time you have to plug in the 62.10 to the P and solve for x.

 I know that the new equation is now<span>62.10=(20+0.5x)+0.15(20+0.5x)

</span>okay so, x equal 68, the number of pages .
4 0
3 years ago
a washer and dryer cost 750 combined the washer cost $50 more than the dryer what is the cost of the dryer?​
-BARSIC- [3]

Answer:

350$ for dryer

Step-by-step explanation:

x = cost of dryer
x + 50 = cost of washer

750 = x + (x + 50)
750 = 2x + 50
700 = 2x
350 = x

3 0
2 years ago
The length of a rectangle is 4 less than twice the width. The perimeter of the rectangle is 106 cm. Determine the length of the
horsena [70]

Answer:

Length = 34

Step-by-step explanation:

Perimeter of rectangle = a+a+b+b = 2(a+b)

Let a = length = 2b - 4

Let b = width

Therefore

(2b-4) + (2b-4) + b + b = 106 cm

Bracket off

2b-4+2b-4+b+b = 106cm

Collect like terms

2b+2b+b+b-4-4 = 106cm

6b-8 = 106

6b = 106+8

6b = 114

b = 114÷6

b = 19

To get a

2b - 4

2(19) - 4

38-4

= 34

4 0
3 years ago
Pls solve if u can &lt;3 much appreciated
Scorpion4ik [409]

Step-by-step explanation:

that is only possible, if we don't need to use a 2 and a 5 (but especially the 2) to create the 1 in the middle (log(10) = log(2×5) or log (5×2) = 1).

in other words, if the 1 in the middle is just a given, and does not use any of our digits for is creation, then a solution is possible.

first of all, the upper left corner has to be log(0⁰). we cannot use the digit 0 for anything else. and 0^n (except for n = 0) is not a valid argument for a logarithm.

log(0⁰) = 0 log(2×1) = 0.3... log(9/4) = 0.35...

log(1×2) = 0.3... 1 log(3×6) = 1.26...

log(7/3) = 0.37... log(4×5) = 1.3... log(6⁹) = 7.0...

but as soon as we need to build the center 1 by log(10), which takes then away one of the 2s (as the only way to build 10 by multiplication is 2×5 or 5×2), there is no possible solution.

7 0
2 years ago
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