Answer:
$3 for 1 book.
Step-by-step explanation:
Answer:
0.625
Step-by-step explanation:
5 out of 8 of the sections in the circle are yellow. This means that there is a 5/8 chance of the spinner landing in a yellow section.
5/8 written as a decimal is 0.625
The answer is 0.625
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
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:
