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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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Which expressions are equivalent to the one below? Check all that apply. <br><br> 9^x
AveGali [126]

Answer:

A) 3^{x}*3^{x}

B) 3^{2x}

C) (3 * 3)^{x}

Step-by-step explanation:

Given the exponential expression, 9^{x}:

A)  3^{x}*3^{x} is equivalent to 9^{x} due to the Product Rule of exponents:  a^{m} a^{n} = a^{m + n}.  

  • 3^{x}*3^{x} = 3^{x+x} = 3^{2x}

Next, apply the Power-to-Power Rule of exponents:  a^{mn} = (a^{m} )^{n}.  

  • 3^{x}*3^{x} = 3^{x+x} = 3^{2x} = (3^{2})^{x}  = 9^{x}

B)   3^{2x}  is equivalent to 9^{x} due to the Power-to-Power Rule of exponents:  a^{mn} = (a^{m} )^{n}.  

  • 3^{2x} = (3^{2})^{x} = (9)^{x} = 9^{x}.    

C)  (3 * 3)^{x}  is equivalent to 9^{x} due to the Product-to-Power Rule of exponents:  (ab)^{m} = a^{m} b^{m}.  

  • (3 * 3)^{x} = (9)^{x}  = 9^{x}  
5 0
3 years ago
Please just give me the actual answer to this question Or at least help me understand because I don't get it and I have looked i
iren [92.7K]

Step-by-step explanation:

To begin with, this is an English question.

Here is what ethos, pathos and logos mean:

Ethos: writing an ethos response requires an argument that includes trustworthy language.

Pathos: writing a pathos response requires an argument that includes emotion and make the reader use their feelings while reading the piece.

Logos: writing a logos response requires an argument that includes facts and logic to ensure the reader that what you are saying is true and reasonable.

In this task, you must use ethos, pathos, and logos separately and try to convince your parents to stay home by yourself.

example:

Logos: Staying home by myself can teach me great responsibility and prepare me for the future. It is much better for me to learn how to take care of myself and what to do in case of an emergency. It is a great opportunity to practice independency. My grandparents would probably rather be undisturbed and I don't wish to trouble them. I am getting older and need to learn how to take care of everything alone. I think I can handle it and is good training. Furthermore, it is a good chance to have some alone time as it is shown that being alone can be healthier for individuals. To sum up, staying home alone is a responsibility I need to practice and I am ready for it.

I hope that helped

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If k is non zero digit for which base of k is the sum, 1+kk=100 true?
Anna007 [38]
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Montano1993 [528]

Answer:

The answer is option D.

Step-by-step explanation:

cos M = adjacent / hypotenuse

From the picture

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nadya68 [22]

Answer:

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Step-by-step explanation:

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