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ValentinkaMS [17]
3 years ago
5

Kareem wants to write an equation for the data in the table below.

Mathematics
2 answers:
Anton [14]3 years ago
6 0
The answer is:

y = ab^x


the proper answer is:
( y = 2^x)
agasfer [191]3 years ago
6 0

We are given with the table of x  and y values

We use the given y values to find the required equation

When the first difference between the y values are same then it is linear.

When the common ratio between y values are same then it is exponential.

When the second difference of y values are same then it is quadratic.

Lets find the difference between y values

\frac{1}{4} - \frac{1}{8} = \frac{1}{8}

\frac{1}{2} - \frac{1}{4} = \frac{1}{4}

1 - \frac{1}{2} = \frac{1}{2}

The difference is not same . so we cannot choose y= mx+b

Now we find the common difference between y values

\frac{\frac{1}{4}}{\frac{1}{8}} = 2

\frac{\frac{1}{2}}{\frac{1}{4}} = 2

\frac{1}{\frac{1}{2}} = 2

The common ratio is 2. So its exponential.

The required equation y=ab^x

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Answer:

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Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.

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Step-by-step explanation:

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Step-by-step explanation:

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