Answer:

Step-by-step explanation:
We are given the polynomial:

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.
Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.
Hence, by the Factor Theorem, P(2) must equal zero.
Find P(2):

This must equal zero. Hence:

In conclusion, <em>k</em> = 34/3.
The logarithm base 10 of the number 10 is 1
<h3>How to solve logarithm ?</h3>
We have to find logarithm base 10 of number 10.
Therefore, using logarithm rule
logₐ a = 1
Hence,
log₁₀ 10 = 1
Therefore, logarithm base 10 of the number 10 is 1
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Answer
1/2
Step-by-step explanation:
D.
Renewable resources can be replaced in a reasonable amount of time, but nonrenewable resources cannot.
Step-by-step explanation:
Nonrenewable resources can be depleted within a human lifespan while renewable resources cannot. An examp0le of a non-renewable resource is crude oil. With continuous mining of crude oil, the natural reserves will continue to decrease until it gets even harder and more expensive to find.
Renewable resources, however, are cannot be depleted since they are ever self-renewing. An example is a wind and the sun whose energy can be harnessed to provide energy to power homes and businesses.
Answer:
5-(1+5)= -1
-2(1+4)=-10
Step-by-step explanation: