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solniwko [45]
3 years ago
8

Find the exponential function that passes through the points (1, 3) and (2, 9). A) y = 12x B) y = 9x C) y = 6x D) y = 3x

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
7 0

Answer:

D

Step-by-step explanation:

An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.

3^1 = 3

3^2 = 9

This means that the function is y = 3^x.

Irina18 [472]3 years ago
3 0

y = 3x

Substitute the two points into the equation y = abx, giving 3 = ab1 and 9 = ab2.

Since a = a, then  

3

b1

=  

9

b2

, rearranged yields 3b2 = 9b1 → 3b2 − 9b = 0 → b(3b − 9) = 0

Thus, b = 0 or b = 3.

A curve of exponential function never drop below the x-axis, ignore any values of b that are less than or equal to zero.

Therefore, insert b = 3 into  

3

b1

= a and  

9

b2

= a → a = 1 for both equations.

y = abx

y = (1)(3x)

y = 3x

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3 years ago
A city had population 67,255 on january 1, 2000, and its population has been increasing by 2935 people each year since then. A l
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4 0
3 years ago
Read 2 more answers
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Dominik [7]

Answer:

2.5

Step-by-step explanation:

The minimum value is the minimum y-value a function includes. In this case, since you can see the function is periodic (it repeats itself <em>periodically</em>, hence periodic) and the smallest y-value the function encounters is 2.5 (doesn't go below this value), the minimum y-value is 2.5. I hope this made sense. If not, feel free to let me know.

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2 years ago
In a line of students ,Jenna is number 8.The teacher says the rule for a number pattern is add4.The first term 7.What number sho
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1. You have that the rule for a number pattern is add 4 and the <span>first term is 7.

 2. Let's call "n" to the number in the line where each student is. Then, you can express this as below:

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 3. So, you have:

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