Answer:
-6i
Step-by-step explanation:
Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.
If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.
x + 8 = 0
x = -8
x - 1 = 0
x = 1
x^2 + 36 = 0
x^2 = -36 ... take the square root of both sides to get x alone
x = √-36 ... square root of an imaginary number produces the usual square root and an "i"
x = ±6i
(I crossed simplify)
Next cross multiply;
3b = 1
b = 1/3
To check if the statement is true just substitute the value of b in the equation;
3b = 1
3(1/3) = 1
1 = 1
Answer is C. Granted gas prices are fixed. if you buy 1 gallon.. price is x. if you buy 2 gallons, price is 2x. and so on. constant rate of change.
I put this into photo math and this is what it gave me -25+14i
Answer:the number of miles that Henry traveled is 15
Step-by-step explanation:
Let m represent the number of miles travelled.
City Cab charges a flat fee of $3 plus 0.50 per mile. This means that the total amount that city Cab charges for m miles would be
3 + 0.5m
Henry paid $10.50 for a cab ride across town.
The equation representing Henry's cab ride would be
3 + 0.50m = 10.50
Subtracting 3 from both sides of the equation, it becomes
3 - 3 + 0.50m = 10.50 - 3
0.5m = 7.5
m = 7.5/0.5 = 15 miles
