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Ronch [10]
3 years ago
12

Please help me solve this! I’ve been stuck for ages! Thankyou

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

y = sin(x- pi/2)

Step-by-step explanation:

Please see the attached image to see your graphs.

By simple inspection we can see that the sine is shifted pi/2 to the right.

We know this because sines are periodic functions with a period T = 2*pi

We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.

And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.

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A packing company is doing an inventory of boxes. Their most popular box is display below: 2ft,(3x-5)ft,(2x-1)ft you can use the
Angelina_Jolie [31]

Answer:

The value of x  = 3.

Length = 4 feet and Width = 5 feet

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Height of the box = 2 ft

Length of the box = (3x-5) ft

Width of the box  = (2x-1) ft

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Now, VOLUME OF CUBE  = LENGTH x WIDTH x HEIGHT

\implies 40 = 2 \times (3x-5) \times (2x-1)\\\implies 20 = 3x(2x-1)) -5 (2x-1) = 6x^2 - 3x -10x +5  = 6x^2 - 13x + 5\\\implies  6x^2 - 13x -15 = 0

Now, solving for the value of x, we get:

6x^2 -13 x - 15  = 6x^2 -18x + 5x - 15 = 0\\\implies6x(x-3) + 5(x-3) = 0\\\implies (x-3)(6x+5) = 0

⇒ Either x-3 = 0, or ( 6x+5) = 0

⇒ Either x  = 3, or x = -5/6

As x = SIDE OF A CUBE ,so it CANNOT be negative.

⇒x  = 3

So, length = (3x-5)  = 3(3) -5 = 9-5 = 4 units

Width = (2x-1) = 2(3) -1  = 5 units

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