A band's first song is 4 minutes, 12 seconds long and has 462 beats. The band wants to have a second song that is 3 minutes, 54
1 answer:
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one way would be to factor
I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have
it goes like this:
for a polynomial with real coefients, consider .
after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have
We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root
to get the negative roots, we evaluate f(-x) and see how many times the root changes
signs are (-, -, -, +). there was 1 change in sign
so the function has 1 real negative root
a total of 2 real roots
a function of degree can have at most,
roots
our function is degree 6 so it has 6 roots
if 2 are real, then the others must be complex
6-2=4 so there are 4 complex roots
you can also show that there are only 2 real roots by using a graphing utility to see that there are only 2 real roots
Answer:
18.04 gallons
Step-by-step explanation:
The cost of filling the empty tank of the vehicle is $71.98.
If each gallon of gas costs $3.99, then we have to find the volume of the sedan's tank in gallons.
Now, $3.99 is the cost of 1 gallon of gas.
Hence, $71.98 will be the cost of gallons.
Therefore, the volume of the tank is 18.04 gallons. (Answer)