Answer:
P(x) = x³-(3i+1)x²+(3i-2)x+6i
Step-by-step explanation:
If -1, 2 and 3i are roots of the polynomial, then the following are factors of the polynomial in x
(x+1), x-2 and x-3i
To get the required polynomial, we will take the product of the factors as shown;
(x+1)(x-2)(x-3i)
(x+1)(x-2) = x²-2x+x-2
(x+1)(x-2) = x²-x-2
(x²-x-2)(x-3i) = (x²)(x)-x²(3i)-x(x)-x(-3i)-2x-2(-3i)
(x²-x-2)(x-3i) = x³-3x²i-x²+3xi-2x+6i
(x²-x-2)(x-3i) = x³-x²(3i+1)+x(3i-2)+6i
(x²-x-2)(x-3i) = x³-(3i+1)x²+(3i-2)x+6i
Hence the polynomial function in standard form with leading coefficient of 1 is x³-(3i+1)x²+(3i-2)x+6i
Answer:
So this problem is asking for the difference in the total amount of gas in the tank and the amount of gas consumed. You have the total amount of gas–15 gallons. You have the information in the problem to find the amount of gas consumed.
The car can go 32 miles before consuming a full gallon of gas and it traveled 384 miles. So if you divide the 384 miles by 32 miles per gallon, you are left with the gallons consumed.
Once you have this number, you can subtract it from 15 gallons–the total amount of gas in the tank–to get how much gas is left.
Step-by-step explanation:
What you need to know before I explain is how to add percents onto numbers. What I'm saying is what and how to do 6.4% x 1500
1. You can't do a percent and number together, that's impossible
What you can do is convert the percent (6.4%) into a decimal
2. 6.4% is equivalent to 6.4/100, which is equivalent to 0.064
3. Now, you multiply 0.064 x 1500
You will notice, hopefully, that you have a number smaller than 1500, but do not panic, you are on the right track!
4. Using the number you got, add that to 1500, and there's your total!
But, if you want only the tax, keep that small number you started off with!
Answer:
the answer for this question is X=-1/3
Answer:
400
Step-by-step explanation:
24 percent (calculated percentage %) of what number equals 96? Answer: 400.
