Answer:
Domain:
t >= 0
Option D
Step-by-step explanation:
At year t = 0, (brand new motorcycle), the value in dollars is
v(0) = $9000
For each passing year, the motorcycle loses 13% of its original value.
This means that for t > = 0, the function produces a logical result.
The domain cannot be all real numbers because the years cannot be negative.
Answer is option D.
The function that represents how much more water can be added to the bucket before it overflows is given as follows:
c(x) = 6x³ + 3x² - 2x - 2.
<h3>How to define the function?</h3>
The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.
The functions in this problem are defined as follows:
- f(x) = 8x³ + 4x² - 6x + 5.
- g(x) = 2x³ + x² - 4x + 7.
Then the capacity function is obtained as follows:
c(x) = f(x) - g(x)
c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)
Then the distributive property is applied to the negative sign as follows:
c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.
Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:
c(x) = 6x³ + 3x² - 2x - 2.
More can be learned about operations with functions at brainly.com/question/2723982
#SPJ1
Answer:
Step-by-step explanation:
Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:
Next we factor what we can so we can further simplify the rest of the equation:
We can now cancel out (x+2)
Next we factor out even more:
We cancel out x-4 and reduce the 3 and 6 into simpler terms:
And we can now simplify it to:
Answer:
Option C, x/12
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
Which expression represents how many years are in x months?
x/12
<em>Because this will give us the amount of months over 12 which gives us the amount of years.</em>
<em />
<u>Example: Find out how many years are in 30 months</u>
x/12
30/12
<em>2.5 years</em>
<em />
Answer: Option C, x/12