Which table shows exponential decay?
2 answers:
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Answer:
the two roots are x = 1 and x = 4
Step-by-step explanation:
Data provided in the question:
(x³ − 64) (x⁵ − 1) = 0.
Now,
for the above relation to be true the following condition must be followed:
Either (x³ − 64) = 0 ............(1)
or
(x⁵ − 1) = 0 ..........(2)
Therefore,
considering the first equation, we have
(x³ − 64) = 0
adding 64 both sides, we get
x³ − 64 + 64 = 0 + 64
or
x³ = 64
taking the cube root both the sides, we have
∛x³ = ∛64
or
x = ∛(4 × 4 × 4)
or
x = 4
similarly considering the equation (2) , we have
(x⁵ − 1) = 0
adding the number 1 both the sides, we get
x⁵ − 1 + 1 = 0 + 1
or
x⁵ = 1
taking the fifth root both the sides, we get
also,
1 can be written as 1⁵
therefore,
or
x = 1
Hence,
the two roots are x = 1 and x = 4
<h2>Answer:</h2><h3>1) 
</h3><h3>3) 
</h3><h3>5) 
</h3><h3 /><h2>Step-by-Step Explanation:</h2><h3 /></h3><h3 />
1.<em> </em>Find the probability of rolling less than a four.
<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6
<u>Outcomes lower than four</u> = 1, 2, 3
Then to answer it you need the probability in the form of a fraction.
simplifies into
2. Find the probability of rolling an even prime number.
<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6
<u>Prime Numbers Through 1-6</u> = 2, 3, 5
<u>Even Prime numbers Through 1-6</u> = 2
So the probability in the form of a fraction.
<h3>3. Find the probability of rolling factors of 20.
<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6
<u>Factors of 20 Through 1-6</u> = 1, 2, 4, 5
So probabilty in the form of a fraction.
simplifies into