Answer:
x = 3, y = 1
Step-by-step explanation:
2 raised to what power gives you 16?
2*2*2*2 = 16 so 2^4
3 raised to what power gives you 9?
3*3 = 9 so 3^2
the exponent cannot be negative so x has to be greater than y and x cannot be the same as y otherwise you will get a 0.
x = 3 , y = 1
2^(3+1) = 2^4 = 16
3^(3-1) = 3^2 = 9
The exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
<h3>Exponential equations</h3>
Exponential equations are inverse of logarithmic equation. The standard exponential equation is expressed as;
y = ab^x
where
a is the base
x is the exponent
b is the rate
If Jennifer has a savings account that earns interest at a rate of 3% per year. Jennifer deposits 1000 into the account, the resulting exponential equation will be:
y = 1000(1.03)^x
If y = 1500, find the value of x
1500 = 1000(1.03)^x
1.5 = 1.03^x
ln1.5 = xln1.03
x = ln1.5/ln1.03
x = 13.72
Substitute to determine the equation
y = 1000(b)^13.72
Hence the exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
Learn more on exponential equation here: brainly.com/question/2456547
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Answer:
a < 42
Step-by-step explanation:
Question : 4a + 9a - 6a < 42
Answer :
4a + 9a - 6a < 42
Combine like terms.
13a - 6a < 42
7a < 42
Divide both sides by 7.
a < 42
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Answer:
Step-by-step explanation:
