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marissa [1.9K]
3 years ago
7

Find the equation of the exponential function represented by the table below:

Mathematics
1 answer:
Leona [35]3 years ago
5 0

Answer:

The exponential equation is;

y = 0.1•0.5^x

Step-by-step explanation:

Here, we want to get the exponential function represented by the table

Mathematically, the general form of an exponential function is;

y = a•b^x

By getting a and b, we have the exponential function

We can use any of the points;

Let us start with (0,0.1)

0.1 = a•b^0

anything raised to zero is 1

0.1 = a * 1

a = 0.1

Now, we have a

Let us work with the second point to get b

The point is (1,0.05)

0.05 = 0.1•b^1

0.05 = 0.1b

b = 0.05/0.1

b = 0.5

Thus, we have the equation as;

y = 0.1•0.5^x

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Combining those like terms would end as 3n.

Explanation: The end of a subtraction equation is basically just the negative number, except you add it to the other part.

For example, 2n is really -2n, and you just add -2n to 5n (which is positive,) and you get 3n.
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3 years ago
A surveyor is measuring the distance across a canyon. He sets up two similar right triangles and finds that the length of CD = 1
Citrus2011 [14]

The length side AB is 64 ft , Option D is the correct answer.

<h3>What is a Right triangle ?</h3>

A triangle that has one angle 90 degree is called Right angled Triangle.

From the figure it can be seen that

The triangle CDE is a right Triangle

Applying Pythagoras theorem to find the length of CE

CE² = 12² + 16²

CE = 20 ft

As both the triangles are similar therefore the ratio of the sides will be equal

BC : CD = AC : CE

48 / 12 = AC / 20

AC = 80ft

As Triangle ABC is also a right angled triangle

Applying Pythagoras theorem to find the length of AB

AC² = BC² +AB²

6400 = 48² +AB²

AB² = 4096

AB = 64 ft

Therefore Option D is the correct answer.

To know more about Right Triangle

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3 0
2 years ago
Simplify (4x^2 + 12x - 9) + (7x^2 - x + 3)
jasenka [17]

Answer:

The correct answer is 11x²  + 11x - 6

Step-by-step explanation:

The given expression is,

(4x² + 12x - 9) + (7x² - x + 3)

<u>Simplify the given expression</u>

(4x² + 12x - 9) + (7x² - x + 3) = 4x² + 12x - 9 + 7x² - x + 3

= 4x² + 7x²  + 12x - x - 9 + 3

= 11x²  + 11x - 6

Therefore the simplified form of given expression is 11x²  + 11x - 6

3 0
3 years ago
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Subtract 3x²-5x+7from5x²-7x+9​
alexgriva [62]

Answer:

2x^2-2x+9

Step-by-step explanation:

5x^2-7x+9-3x^2+5x\\=5x^2-3x^2-7x+5x+9\\= 2x^2-2x+9

5 0
3 years ago
What is the other name for data preparation stage of knowledge discovery process.
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ETL is the other name for 'Data Preparation' stage of knowledge discovery process.

Explanation:

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