Answer:
Third zero is -1.
Step-by-step explanation:
consider the given polynomial is
It is given that -1 and -3 are two zeroes, therefore (x+1) and (x+3) are two factors of given polynomial.
The given polynomial can be rewritten as
Now, splitting the middle term, we get
Here, power of (x+1) is 2. It means the multiplicity of zero -1 is 2.
So, three zeroes are -1, -1 and -3.
Therefore the third zero is -1.
Answer:
A
Step-by-step explanation:
Hope this helped! Please let me know if I'm wrong!
You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:
5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625
so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625
x = log₅ 5⁻⁴
log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:
x = -4 is your answer
if the exponent dropping down doesn't make sense to you, you can think of it in another way:
x = log₅ 5⁻⁴
expand the expression so that the exponent moves in front of the log function:
x = (-4) log₅ 5
then, still, log base 5 of 5 simplifies to 1, so you're left with:
x = (-4)1 or x = -4
.33 x 48
15.84
48 - 15.84
$32.16
---------------
125 x 1.08
$135
Step-by-step explanation:
4/5 divide
0.8 is the ans
