x-2 is a factor so x = 2 is a root of f(x)
This is because f(x) = (x-2)*g(x) for some polynomial g(x). We don't have to worry about what g(x) is equal to as it doesn't affect the status of the root we're after.
So,
f(x) = 0
(x-2)*g(x) = 0
x-2 = 0 or g(x) = 0
x = 2 or g(x) = 0
This shows how the factor x-2 leads to the root x = 2
Therefore, f(2) = 0
Answer: Choice D
Answer:
5n-8
Step-by-step explanation:
Because this is an arithmetic progression, there is simply an addend that is being added to every number. Because that is 5, the expression, for now, would be 5n. However, the progression does not start at 0, so we will have to subtract 3, and then it would be 5n - 3. We're still not at the answer; this is because the first term starts at 1, not 0. We will have to account for that, so subtract the coefficient, or 5, from the whole expression. That would be 5n - 8, and that would be the answer.
Answer:

Step-by-step explanation:
Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have
Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising
<em>P(0) = 0 and P(50) = 1,500,000
</em>
We have and ordinary differential equation of first order that we can write
The <em>integrating factor </em>is
Multiplying both sides of the equation by the integrating factor
Hence
Integrating both sides
But P(0) = 0, so C = -3,000,000
and P(50) = 1,500,000
so
And the equation that models the number of people (in millions) who become aware of the product by time t is
For number 12 you need to make an expression using the information given. a) 25g + 18r + 15b could be the expression.
b) The variables would be 25g for the 25 gold seats, 18r for the 18 red seats and 15b for the 15 blue seats.
c) Plug in the number given according to the variables.
25(100) + 18(250) + 15(200)
2500 + 4500 + 3000
7000 + 3000
$10,000
Answer:
y=4/3x+15 1/3 (or) y=4/3x+46/3
Step-by-step explanation:
If it’s parallel, it has to have the same slope (4/3).
Plug 7 in for x, and then find out what you have to do to make y equal -6.
y=4/3x+15 1/3 (or) y=4/3x+46/3