Describe the slope of the graph?

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

5 0

Attach an image of the line on a Cartesian plane for us to help you

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Step-by-step explanation:

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4 years ago

Sea World has 9 aquariums with small fish in them and the number of fish in each tank are shown below: 45, 10, 48, 19, 36, 25, 6

crimeas [40]

Answer:

Step-by-step explanation:

To find the range, subtract the lowest number from the highest number

Arrange the numbers from least to greatest

45, 10, 48, 19, 36, 25, 63, 14, 37

10, 14, 19, 25, 36, 37, 45, 48, 63

The highest number is 63, and the lowest is 10

Now, subtract the lowest (10) from the highest (63)

highest - lowest

63-10

So, the range of the number of fish is 53

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4 years ago

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches

Mamont248 [21]

Answer:

6 in

Step-by-step explanation:

Let x = the side length of the original square.

They removed 3 in from each side of the original square, so the side lengths of the remaining square are x - 3 in.

The area of the smaller square is (x - 3)².

The area of the original square is x²

I assume the area of the smaller square is ¼ that of the original square. Then

1. Solve for x

$\begin{array}{rcl}\frac{1}{4}x^{2} & = & (x - 3)^{2}\\x^{2} & = & 4(x - 3)^{2}\\& = & 4(x^{2} - 6x + 9)\\x^{2}& = & 4x^{2} - 24x + 36\\3x^{2} - 24x + 36 & = & 0\\x^{2} - 8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\x - 2 = 0& \qquad &x - 6 = 0\\x = 2& \qquad &x = 6\\\end{array}$