Answer: Hence, our simplified form will be :

Step-by-step explanation:
Since we have given that

We need to simplify the above expression:

Hence, our simplified form will be :

Answer:
Third option
Step-by-step explanation:

is the correct answer.
Answer:
The shrinkage as a percentage of sales is 1.6%.
Step-by-step explanation:
In order to find the percentage of the sales that can be contributed to shrinkage, we first need to find the amount of shrinkage between the book value ($907,340) and the physical inventory ($875,435). The difference between these two values is $31,905. With this value of shrinkage, I then divide by the total amount in sales, which is $1,988,345. This would give me an overall percentage of 1.6%, which represents the shrinkage as a percentage of sales.
Answer:
the value of x=33
the measure of each base angle = 42 ,69,69
Step-by-step explanation:
Bases od isosceles triangles are congruent,so
2(2x+3)=4x+6 (This is the sum ob both anlgles base)
All angles in a triangle add to 180
4x+6 + 42 = 180
4x = 132
x=33
2(33)+3= 69
69+69+42 = 180
Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.