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harina [27]
3 years ago
11

45x to the 3rd power y divided by 9xy

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

45x to the 3rd power y divided by 9xy


5x to the 3rd power y

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Step 1: Find the slope of AB. The slope of AB is
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A plane is traveling 600 miles. It takes the plane 5 hours against the wind and 4 hours with the wind. What is the speed of the
madam [21]

Answer: the speed of the plane in still air is 135 miles per hour

the speed of the wind is 15 miles per hour

Step-by-step explanation:

Let x represent the speed of the plane in still air

Let y represent the speed of the wind.

The distance travelled by the plane is 600 miles.

Distance travelled = speed × time

It takes the plane 5 hours against the wind. This means that the total speed is (x-y) miles per hour. Therefore,

600 = 5(x- y) = 5x - 5y - - - - - - - 1

It takes the plane 4 hours with the wind. This means that the total speed is (x+y) miles per hour. Therefore,

600 = 4(x+ y) = 4x + 4y - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 5, it becomes

2400 = 20x - 20y

3000 = 20x + 20y

Adding both equations

5400 = 40x

x = 5400/40 = 135

Substituting x = 135 into equation 1, it becomes

4 × 135 + 4y = 600

540 + 4y = 600

4y = 600 - 540 = 60

y = 60/4 = 15

6 0
3 years ago
The width of a rectangle varies inversely with its length. If the width is 4 when the length is 12, find
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What are the relative minimum and relative maximum values over the interval [−4,4] for the function shown in the graph?
kobusy [5.1K]

Answer:

Relative minimum :  -36

Relative maximum :  64

The rate of change is 336 greater

Step-by-step explanation:

Relative minimum are the minimum values  in the interval

Looking at the graph, we find the lowest point in the interval

Relative minimum : (-3, -36) and (3,-36)  y value -36

Looking at the graph, we find the highest point in the interval

Relative maximum : (0,64)  y value 64

Average rate of change = f(x2) - f(x1)

                                          ---------------

                                            x2 - x1

                                       

                                         f(7) - f(5)     1469 - 549      920

                                        ------------- = ---------------   = ------- = 460

                                             7-5               7-5                2

                                         f(4) - f(2)     287 - 39         248

                                        ------------- = ---------------   = ------- = 124

                                             4-2               4-2                2

We need to subtract

460-124

336

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3 years ago
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-4=5X-435<br> What is x
HACTEHA [7]

Answer:

x=86.2

Step-by-step explanation:

-4=5X-435

-4+435=5x

431=5x

431/5=x

86.2=x

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3 years ago
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