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2 years ago

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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Ivahew [28]

Answer:

-45 $x^{2}$ -26x+30

Step-by-step explanation:

So first you let's divide this equation into three parts.

Part one -9x(5x+4)

Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45 $x^{2}$ and -9x*4 = -36x
Step two: Put the answers together. That would leave us with -45 $x^{2}$ -36x.

Part two 10(x+3)

Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30
Step two: Put the answers together. That would leave us with 10x+30

Part three solve

Step one: combine and put together what you have solved for. That would leave us with a -45 $x^{2}$ -36x+ 10x+30
Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.
Step three: Write the equation in standard form. Therefore the answer is -45 $x^{2}$ -26x+30.

Let me know if anything is confusing!

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2 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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katrin [286]

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3 years ago