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Mariulka [41]
2 years ago
5

9th Grade Algebra 1 Unit 9 Test

Mathematics
1 answer:
mamaluj [8]2 years ago
5 0

Answer:

y=-2500x+25000

Step-by-step explanation:

depreciates means to lose value

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Step-by-step explanation:

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5^(2x-1)+5^(x+1)=250<br> how do you solve?<br> thank you
zepelin [54]

Answer:

<em>x = 2</em>

Step-by-step explanation:

<u>Exponential Equations</u>

Solve:

5^{2x-1}+5^{x+1}=250

Separate each exponential:

5^{2x}5^{-1}+5^{x}5^{1}=250

Operating:

\displaystyle \frac{5^{2x}}{5}+5^{x}5=250

Multiplying by 5:

5^{2x}+25\cdot5^x=1250

Rearranging:

5^{2x}+25\cdot5^x-1250=0

Recall that:

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Calling

y=5^{x}:

y^2+25y-1250=0

Factoring:

(y-25)(y+50)=0

There are two possible solutions:

y=25

y=-50

Since

y=5^{x}

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5^{x}=25=5^2

The solution is:

x = 2

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3 years ago
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