Answer:
(2x - 5)(3x + 1)
Step-by-step explanation:
6x² - 13x - 5
you can solve this by factoring method by observing the factors of the x² term or the constant term. But because in this case the x² term is 6 (i.e ≠ 1), it will probably be easier to find the roots of the equation.
We'll use completing the square:
let 6x² - 13x - 5 = 0 (divide both sides by 6, to make the x² term = 1)
(6x² - 13x) / 6 = 5 /6
x² - (13/6)x = 5 /6 (complete the square by adding [(13/6)÷2 ]²= (13/12)² to both sides)
x² - (13/6)x + (13/12)²= 5 /6 + (13/12)²
[x - (13/12) ]² = 289/144
x - (13/12) = ±√(289/144)
x - (13/12) = ± (17/12)
x = (13/12) ± (17/12)
hence
x = (13/12) + (17/12)
x = 5/2
2x = 5
2x-5 = 0 ---> hence (2x - 5) is a factor
OR
x = (13/12) - (17/12)
x = -1/3
3x = -1
3x+1 = 0 ---> hence (3x + 1) is a factor
Since we know that a quadratic equation can have at most 2 real roots, we can conclude that these are the only 2 real factors
Combining the 2 factors we have found,
6x² - 13x - 5 = (2x - 5)(3x + 1)
Ohm's law equation used to solve this problem is;
V = IR
where V - voltage
I - current passing
R - resistance
voltage is the potential difference between 2 points and current passing through these 2 points is proportional to the potential difference, in other words voltage.
V∞I
Resistance is the constant in the equation
the current required to pass through is 0.05 A (amperes)
the battery voltage is 3.0 V (volts)
substituting these values
3 V = 0.05 A * R
R = 3/0.05
R = 60 Ω (ohms)
5 65,749
13,149 R4 2.
6 22,176
3,696 R0 3.
5 25,931
5,186 R1
4.
4 71,568
17,892 R0 5.
7 98,694
14,099 R1 6.
9 81,844
9,093 R7
P+1/5−1/2=1/10
p+ 10÷5= 2×1=2 =1/10
10÷2= 5*(-1)= -5=1/10
2-5/10
p-3/10 = 1/10
p= 1/10+3/10
p= 4/10
4÷2= 2
10÷2 = 5
>The answer is:
>> P= 2/5