This is a polynomial of degree 4, because you have 4 roots real or imaginary:1st) x= 5 →(x-5)=0
2nd) x = - 3→(x+3) =0
3rd) x = -1+3i →(x+1-3i) = 0
and the 4th one that is not mentioned which is the conjugate of
-1+3i, that is -1-3i (in any polynomial if a root has the form of a+bi, there is always a conjugate root = a-bi)
4th) x= -1-3i→(x+1+3i) = 0
Hence the polynomial =(x-5)(x+3)((x+1-3i)(x+1+3i)
Solving the above will give you (unless I am mistaken, pls recalculate):
x⁴-9x²-50x-150<u />
Answer:
102
Step-by-step explanation:
So, the first brand has 9% vinegar, and say we use "x" amount of it, then, the amount of vinegar in "x" is 9% of x, or (9/100) * x, 0.09x.
the second brand has 14% of vinegar, and if we use say "y" amount of it, then the amount of vinegar in "y" is really just 14% of "y" or, (14/100) * y, 0.14y.

so, whatever "x" and "y" are, we know that
x + y = 230.
and we also know that their concentration amounts will also add up,
0.09x + 0.14y = 29.9.

how many milliliters will it be for the second brand? well, y = 230 - x.
Answer:
A
Step-by-step explanation:
A linear function describes a straight line with constant gradient. Hence A is the answer as it has a constant gradient of -1 .
B is wrong as the graph has an undefined gradient.
C is wrong as it has an increasing gradient.
D is wrong as it does not have a constant gradient too.
Answer: 7/24
Step-by-step explanation:
Fraction of the items barbecued that are veggie burgers = 3/8
Fraction of the items barbecued that are corn cobs = 1/3
The fraction of the items barbecued that are mushrooms caps will be:
= 1 - (3/8 + 1/3)
The lowest common multiple of 8 and 3 is 24.
= 1 - (3/8 + 1/3)
= 1 - [(3/8 × 24) + [(1/3 × 24)]
= 1 - (9/24 + 8/24)
= 1 - 17/24
= 7/24