It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:
The answer is C. f(x) = 0.05
Answer:
24
Step-by-step explanation:
8*3=24
Answer:
120
Step-by-step explanation:
No of math books = 4
No of History books = 7
Since no two math books are next to each other, we can say each math book is sandwiched between two history books like
H⇔M⇔H
We can assume that this there books in system above is binded together, thus we will have
3 binded combinations H⇔M⇔H
1 single Math book M
1 single History book H
No of possible arrangements = (3+1+1)! =5! = 5 x 4 x 3 x 2 x 1 = 120
Answer:
your discount would be 25
Step-by-step explanation:
start, first subtract 45 from 60 to find the amount of money taken off from the discount:
60-45
=15
Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:
15/60=x/100
Now, cross multiply and solve for x:
1500=60x
x=25
Therefore, your discount would be 25%.
