Step-by-step explanation:
Statement. Reason
→ 9(x-6)+41 = 75. Transposing the like terms.
→ 9(x-6) = 75 - 41 Performing subtraction of the term in RHS
→ 9(x-6) = 34 Performing multiplication in LHS.
→ 9x - 54 = 34 Distributive property
→ 9x = 34 + 54 Performing addition of the term in RHS.
→ 9x = 88. Now, transpose 9 from LHS to RHS , it's arthmetic operator will get changed.
→ x = 88/9
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Answer: 7 years
Step-by-step explanation:
The Chubby bunny currently weighs 5 pounds but is increasing by 3 pounds per year. Assuming we wanted to find the weight in a given year, we can assume that given year is x. The expression would be:
= 5 + 3x
The fat cat weighs 19 pounds and gains by 1 pound a year.
Expression is:
= 19 + 1x
Equate the two equations together and find x:
5 + 3x = 19 + 1x
3x - 1x = 19 - 5
2x = 14
x = 14/2
x = 7 years
Answer: the value of the diversity index D is Zero (0)
Step-by-step explanation:
Just as the meaning of diversity index is boldly explained in the question, it is the probability that randomly selected organism from a population are from a different species.
Now if the organisms are all from the same species in a population then it is impossible to select two organisms from different species.
That is, we can never select two organisms that are not from the same species.
Hence, we cant fulfil or meet the definition of diversity index .
Therefore in this situation the value of our diversity index D will be exactly zero, D = 0.
Answer: x = -1 and x = 0.
Justification:
The solution of f(x) = g(x) are those values of x for which the output of f(x) is equal to the output of g(x).
The table shows that the output for f(0) is 0 and the output of g(0) is also 0.
So, 0 is one solution of the equation.
Also, the table shows that the output for f(-1) is - 1/2, as well as the output of g(-1) is - 1/2. So, -1 is other solution of the equation.
Therefore, this equation has two solutions x = - 1 and x = 0.