Show your work or give a explanation of how you got it...Convert this into a fraction......

2 answers:

6 0

1.5555555555555556 = 1+0.55555555556 = 1+5555555555600000/10000000000000000gcd(5555555555600000,10000000000000000) = 4000001.5555555555555556 = 1+(5555555555600000/400000)/(10000000000000000/400000) = 1+13888888889/25000000000 = 38888888889/25000000000Hey there

The conversion to this would be as followed:

1.555555555555555555=1 1388/2500

Hope this helps!

Sincerely,

Ke'Antay McDowell

Art [367]3 years ago

5 0

1.5
d=1.5555
10d=15.5555
Therefore 9d=14
d=14/9
Proof d=1.5

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$