Three-fourths of a number is greater than or equal to nine less than a number.

Mathematics

1 answer:

NARA [144]4 years ago

8 0

Answer:

$\frac{3}{4} x \geqslant x - 9$

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Please solve this proportion with steps (I'm stuck) (9x+6)/18= (20x+4)/3x

guapka [62]

$\frac{9x+6}{18}=\frac{20x+4}{3x}$

Cross multiply. Distribute...
$3x(9x+6)=18(20x+4)\\27x^2+18x=360x+72\\27x^2-342x-72=0\\3x^2-38x-8=0$

OH GOD IT'S A QUADRATIC
(our equation is in ax² + bx + c = 0 form. a=3. b= -38. c= -8.
plug these values into the quadratic formula and simplify.)
$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-38)\pm\sqrt{(-38)^2-4(3)(-8)}}{2(3)}=\frac{38\pm\sqrt{1444+96}}6\\\\\sqrt{1444+96}=\sqrt{1540}=\sqrt{4\times345}=2\sqrt{345}\\\\\frac{38\pm2\sqrt{345}}6=\boxed{x=\frac{19\pm\sqrt{345}}3}$

Approximate values for x: -0.20714 or 12.874

7 0

3 years ago

Read 2 more answers

If f(x) = 3(x+ 5) +4/x, what is f(a+2)?

Eduardwww [97]

Answer:

B. 3(a + 7) + 3/(a + 2)

Step-by-step explanation:

Just substitute (a+2) in for every (x) in the equation:

f(a + 2) = 3 ((a + 2) + 5) + 4/(a+2)

= 3 (a + 7) + 4/(a+2)

4 0