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Karolina [17]
2 years ago
7

Write an exponential function in the form y = abthat goes through points (0, 20) and (2,180).

Mathematics
1 answer:
Andrej [43]2 years ago
5 0

Answer:

y=20(6)^x

Step-by-step explanation:

the graph passes through the point (0,20) : when x=0  and  y=20  :

20= ab^0    so a=20 because : b^0 = 1

the graph passes through the point (3,4320) : when x=3.  and  y=4320  : 4320= ab^3  but : a=20   so : 4320 = 20b^3

so : b^3 = 4320/20 = 216...... 216 =  6^3

b^3 = 6^3

b=6

the function is : y=20(6)^x

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Answer:

A

Step-by-step explanation:

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3 years ago
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Alex787 [66]

Answer:

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Step-by-step explanation:

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2 years ago
150=3/5x what does x equal?
svetlana [45]

Answer:

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7 0
3 years ago
Read 2 more answers
How can an expression written in either radical form or rational exponent form be rewritten to fit the other form?
adell [148]
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In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared. 

For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
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x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)

Hope this helps!
8 0
3 years ago
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