What is (p(x))/(4x-4)>= 12x-10 ?

The solution to (p(x))/(4x-4)>= 12x-10 is Parabola with (h,k)=(11/12 ,-1/3),p= 1/192

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(p(x))/(4x-4)>= 12x-10

\frac{p ( x )}{4 x - 4} \geq 12 x - 10

(h, k) = (\frac{11}{12}, - \frac{1}{3}), p = \frac{1}{192}

Solution steps

\frac{y}{4 x - 4} \geq 12 x - 10

Rewrite

\frac{y}{4 x - 4} - 12 x + 10 \geq 0

in the standard form

4 \cdot \frac{1}{192} (y - (- \frac{1}{3})) = (x - \frac{11}{12})^{2}

Therefore parabola properties are:

(h, k) = (\frac{11}{12}, - \frac{1}{3}), p = \frac{1}{192}

x^{2} + 9 y = 4

(y + 5)^{2} = - 8 (x - 4)

(x + 3)^{2} = 8 (y - 4)

x^{2} + 2 y - 2 x + 8 y + 5 = 0

1 y = 2 x^{2} - 4 x - 2

What is (p(x))/(4x-4)>= 12x-10 ?
The solution to (p(x))/(4x-4)>= 12x-10 is Parabola with (h,k)=(11/12 ,-1/3),p= 1/192