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xz_007 [3.2K]
3 years ago
13

Which is the graph of y = cos(x − π)?​

Mathematics
2 answers:
Sphinxa [80]3 years ago
8 0

Answer:

Graph 1.

Step-by-step explanation:

Th graph of y=\cos{(x-\pi)} looks exactly like the graph of y=\cos{x} if we shifted the axes \pi units to the left. This has the visual effect of shifting the graph <em>forward </em>\pit\pi units (imagine filming someone and panning the camera to the left; the person moves <em>right</em> in the camera frame).

So the point at x=0, which used to be (0, \cos{0})=(0,1) is now (0,\cos{(0-\pi)})=(0,\cos{(-\pi)})=(0,-1), which we can find on the <em>first graph</em>.

Assoli18 [71]3 years ago
3 0

Answer:

Answer is the first choice on left.

Step-by-step explanation:

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6 0
3 years ago
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Step-by-step explanation:

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Sarah used a scale of ½ inch = 3 feet for a drawing of her business. On the drawing, a rectangular room measures 2 ½ inches by 3
Korolek [52]

Answer:

The new carpet will cost $1279.13 to the nearest cent

Step-by-step explanation:

The given is:

1. Sarah used a scale of \frac{1}{2} inch = 3 feet

2. On the drawing, a rectangular room measures 2\frac{1}{2} inches

     by 3\frac{3}{4} inches

3. Sarah wants to purchase new carpet for the room that costs $3.79

    per square foot

We need to find much the new carpet will cost

∵ The scale is 0.5 inch = 3 feet

∵ The dimensions of the room on the drawing are 2\frac{1}{2} inches and

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∵ 2\frac{1}{2} = 2.5

∵ 3\frac{3}{4} = 3.75

Use the ratio method

→  inches  :  feet

→  0.5        :  3

→  2.5        :  x

→  3.75      :  y

- By using cross multiplication

∴ 0.5 x = 2.5 × 3

∴ 0.5 x = 7.5

- Divide both sides by 0.5

∴ x = 15 feet

∴ 0.5 y = 3.75 × 3

∴ 0.5 y = 11.25

- Divide both sides by 0.5

∴ y =  22.5 feet

∴ The actual dimensions of the room are 15 feet and 22.5 feet

Now lets find the area of the room which is the area of the carpet

∵ Area of the carpet = 15 × 22.5

∴ Area of the carpet = 337.5 feet²

∵ The cost of the carpet is $3.79 per square feet

∴ The cost of the carpet = 3.79 × 337.5 = 1278.125

∴ The cost of the carpet = $1279.13 to the nearest cent

The new carpet will cost $1279.13 to the nearest cent

Learn more:

You can learn more about ratio in brainly.com/question/13076219

#LearnwithBrainly

8 0
4 years ago
The population of a small town in central Florida has shown a linear decline in the years 2001-2012. In 2001 the population was
earnstyle [38]

Answer:

Step-by-step explanation:

First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11.  The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:

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y = -750(13) + 22200 so

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6 0
3 years ago
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quester [9]

Answer:

B. \displaystyle -1, -7

Step-by-step explanation:

\displaystyle x^2 = -8x - 7 → x^2 + 8x + 7 \\ \\ x^2 + 8x + 7 \\ [x + 1][x + 7]; -1, -7 = x

I am joyous to assist you at any time.

6 0
4 years ago
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