1/x-1 - 3/x+2 = 1/4

solve to find x

Answers

Answer 1

Answer: $(1)/(x-1)-(3)/(x+2)=(1)/(4)\n \n (x+2-3(x-1))/((x-1)(x+2))=(1)/(4)\n \n (x+2-3x+3)/((x-1)(x+2))=(1)/(4)\n \n (5-2x)/(x^2+x-2)=(1)/(4)\n \n 4(5-2x)=x^2+x-2\n \n 20-8x=x^2+x-2\n \n \boxed{x^2+9x-22=0}$

Solvin this quadratic equation with Bhaskara formula we find:

x = -11 or x = 2

Answer 2

Answer: $(1)/(x-1) - (3)/(x+2) = (1)/(4) \ /\cdot 4(x-1)(x+2)\n\n(4(x-1)(x+2))/(x-1) - (3\cdot 4(x-1)(x+2))/(x+2) = (4(x-1)(x+2))/(4)\n\n4(x+2)-12(x-1)=(x-1)(x+2)\n\n4x+8-12x+12=x^2+2x-x-2\n\n-8x+20=x^2+x-2\n\n-x^2-9x+22=0\ /\cdot(-1)\n\nx^2+9x-22=0\ \ \ \Rightarrow\ \ \ x^2+11x-2x-22=0\n\nx(x+11)-2(x+11)=0\n\n(x+11)(x-2)=0\ \ \ \ \ \Leftrightarrow\ \ \ (x+11=0\ \ \ or\ \ \ x-2=0)\n\nx=-11\ \ \ or\ \ \ x=2$

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How much simple interest is earned on $6,000 at an interest rate of 2.25% in 4 1/2 years ?

Answers

I believe the answer is 607.50

Answer: actually It would be 675

Step-by-step explanation:

you put 4.5 which that is wrong it would just be 5 so it would be

I=p*r*t

I=6,000*0.0225*5=675

and that would be your answer

Which graph represents y=square root of x-4

Answers

For this case we have the following function:
y = root (x-4)
It is a function in the form of a parabola.
The domain of the function is:
[4, inf)
To make the graph we can make use of a computational tool and verify that the graph corresponds with the mentioned characteristics.
Answer:
See attached image. (blue function).

Answer:

Option B is correct.

Step-by-step explanation:

Line curve starts at (4,0)

Whats the function for y=-4x+3

Answers

Answer:

the function for y=-4x+3

= soln,

y=mx+b"

Dustin says that FGH is an equilateral triangle because the sides appear to be the same length.Is his reasoning valid?Explain

Answers

His reasoning is not valid because they might actually appear to be equal to his sight, but should he measure them they might not exactly be.

So he just can't look at it and conclude. He can say it is equilateral if each angles measures 60 degrees.

How do i write a word phrase for 2/3y 4?