ANSWER
See attachment.
EXPLANATION
The given function is

When we compare this function to

We have a=1, b=4 and c=5
We put this inside the formula for the discriminant, which is



Since the discriminant is negative, the function has no x-intercepts.
The graph of this function is the one hanging in the air above the x-axis and opens upwards.
Well, this could be a "hecto" but in practice it's not really used. If you want to use it, you would speak of "hectometers".
if your question would be 1000 times larger, then it would be "kilo" and this one is actually widely used.
6 gallons since the gallons of water is divided by too since the initial value added 1/2 so the number of gallons is divided by too and added to the original amount of gallons so i believe your answer will be 6 gallons
<span> 1/3(2x - 3) + 1 = 1/4(3x + 5) - 2
2x/3 - 3/3 + 1 = 3x/4 + 5/4 - 2
2x/3 - 1 + 1 = 3x/4 + 5/4 - 2
2x/3 - 3x/4 - 0 = 3x/4 - 3x/4 + 5/4 - 2
2x*4/3*4 - 3x*3/4*3 = 0 + 5*1/4*1 - 2*4/1*4
8x/12 - 9x/12 = 5/4 - 8/4
(8x - 9x)/12 = (5 - 8)/4
-x/12 = -3/4
-x/12 * 12 = -3/4 * 12
-x = -36/4
-x * -1 = -36/4 * -1
x = 36/4
x = 9
Done
For check the answer
let x = 9
1/3(2[9] - 3) + 1 = 1/4(3[9] + 5) - 2
1/3(18 - 3) + 1 = 1/4(27 + 5) - 2
1/3(15) + 1 = 1/4(32) - 2
15/3 + 1 = 32/4 - 2
15/3 + 3/3 = 32/4 - 8/4
18/3 = 24/4
6 = 6
therefor
x = 9 is a correct answer</span>