Answer:
x=-3, y=-8
Step-by-step explanation:
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This appears to be about rules of exponents as much as anything. The applicable "definitions, identities, and properties" are
i^0 = 1 . . . . . as is true for any non-zero value to the zero power
i^1 = i . . . . . . as is true for any value to the first power
i^2 = -1 . . . . . from the definition of i
i^3 = -i . . . . . = (i^2)·(i^1) = -1·i = -i
i^n = i^(n mod 4) . . . . . where "n mod 4" is the remainder after division by 4
1. = -3^4·i^(3·2+0+2·4) = -81·i^14 =
812. = i^((3-5)·2+0 = i^-4 =
13. = -2^2·i^(4+2+2+(-1+1+5)·3+0) = -4·i^23 =
4i4. = i^(3+(2+3+4+0+2+5)·2) = i^35 =
-i
The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B
If you would like to know how many kilograms of fruit do you have, you can calculate this using the following steps:
3 4/5 kg of cherries + 2 1/4 kg of strawberries = 3 4/5 + 2 1/4 = 19/5 + 9/4 = 76/20 + 45/20 = (76 + 45) / 20 = 121/20 = 6 1/20 kg of fruit
The correct result would be 6 1/20 kilograms of fruit.