Answer:
(A)![[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]](https://tex.z-dn.net/?f=%5Bx-%282%2Bi%29%5D%5Bx-%282-i%29%5D%5Bx-%5Csqrt%7B2%7D%5D%5Bx%2B%5Csqrt%7B2%7D%5D)
Step-by-step explanation:
A polynomial has a leading coefficient of 1 and the following factors with multiplicity 1:

We apply the following to find the factored form of the polynomial.
- If a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial.
- If the polynomial has an irrational root
, where a and b are rational and b is not a perfect square, then it has also a conjugate root
.

Therefore, the factored form of the polynomial is:
![[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]](https://tex.z-dn.net/?f=%5Bx-%282%2Bi%29%5D%5Bx-%282-i%29%5D%5Bx-%5Csqrt%7B2%7D%5D%5Bx%2B%5Csqrt%7B2%7D%5D)
Answer:
y = 2/3x - 1
Step-by-step explanation:
Find the slope:
2y = 3x - 5
2/2y = 3/2x - 5/2
y = 3/2x - 5/2
Slope is 3/2
In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.
Perpendicular equation:
y = 2/3x + b
b is going to be equal to the y intercept of the point they gave us, so -1.
Answer: y = 2/3x - 1
Answer:
$1.475 is the average amount of snack sales per ticket sold.
Step-by-step explanation:
We are given the following in the question:
Number of popcorn bags sold = 3
Cost of a popcorn bag = $2.25
Total cost of popcorn bag =
= $6.75
Number of soda sold = 4
Cost of a soda = $1.50
Total cost of soda =
= $6.00
Number of candy bars sold = 2
Cost of a candy bar = $1.00
Total cost of candy bars =
= $2.00
Total sales =
Total cost of popcorn + Total cost of soda + Total cost of candy bar


Average amount of snack sales per ticket sold =

Thus, $1.475 is the average amount of snack sales per ticket sold.
Answer:
represents the use of money as a ... savings deposits and small time deposits of less than $100,000.
Step-by-step explanation:
<span>The word problem gives a rate of oil consumption at a rate of 25 gallons per 3 hours and 45 minutes. 3 hours and 45 minutes can be displayed as 3.75 hours. so you can say the generator consumes oil at a rate of 25 gallons per 3.75 hours. The following equation give you the oil consumption on a per hour basis; 25/3.75 and that gives you 6.67 gallons per hour. In 6 hours the generator will consume 40 gallons.</span>