The maximum number of real roots is 5 because the degree is 5. The fundamental theorem of algebra states that the degree of a polynomial is the number of real solutions. (The degree is the highest exponent of the polynomial)
$675.00 - $530.00 = $145.00
$145.00 - $200.00 = $55.00 negative balance, amount short.
$55.00 + 340.00 = $285.00 positive balance after deposit.
$285.00 - $29.00 = $256.00 new balance
Daniel has a new balance of $256.00
9514 1404 393
Answer:
- 4
- -2
- 4
- 2
- -2±√2
Step-by-step explanation:
In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.
1. x² +<u> </u><u>4 </u>x +2 = 0
The constant is subtracted from both sides to get the second line.
2. x² +4x = <u> -2 </u>
The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4
3. x² +4x +<u> 4 </u> = -2 +4
On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.
4. √(x +2)² = ±√<u> 2 </u>
Finally, 2 is subtracted from both sides to find the values of x.
5. x = <u> -2 ±√2 </u>
Answer:
no solution
Step-by-step explanation:
2x + 4y = 6......reduces to x + 2y = 3
3x = 12 - 6y....reduces to x = 4 - 2y...rearranged is x + 2y = 4
so now we have :
x + 2y = 3
x + 2y = 4
ok....I dont have to go any farther to know that this has no solution because ur equations have the same slope and different y int, this means ur lines are parallel and have no solution because they never cross each others path.
