Answer:
See explanations below
Step-by-step explanation:
Given the algebraic expression 2x4– 5x3 + 4x. + 7,
a) The degree is the highest power of x in the equation, from the equation we can see that the highest power of x is 4. HEnce the degree of the equation is 4
b) The terms we have are 2x^4, -5x^3, 4x and 7. In counting, we can see that we only have 4 terms in the equation hence the number of terms is 4
c) The constant term si the term without the variable x. From the equation the only term without variable x is 7. Hence the constant term is 7
d) The number attached t x is known as its coefficient. The number besides x is 4 frim the equation. Hence the coefficient of x is 4.
e) The numerical coefficient of -5x^3 is -5 since the constant value attached to x^3 is -5
Answer:
A) 63.36 years.
B) 100.42 years.
Step-by-step explanation:
We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.
A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.
Now let us solve for t using logarithm.
Therefore, it will take 63.36 years the population to be double.
B) Now we will find the number of years it will take the population to be triple of its size.
Now let us solve for t using logarithm.
Therefore, it will take 100.42 years the population to triple of its size.
Answer:
Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)
Step-by-step explanation:
<u>Step 1: Factor</u>
p(x) = x^3 - 5x^2 - x + 5
<em>p(x) = (x - 5)(x + 1)(x - 1)</em>
<em />
<em>Yes, the remainder is 0 so, x-5 is a factor of p(x)</em>
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Answer: Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)
Answer:
I believe the correct answer is D
