Answer:
sqrt(-3)
Step-by-step explanation:
solve using sqrt( b^2 - 4ac)
substitute values from original equation to find discriminant
Answer: You need 36 gallons of water to fill the tank.
Step-by-step explanation:
<u>Find out how much 55 percent of 80 gallons is:</u>
55/100
x/80
55x80=4400/100=44
44 gallons are currently in the tank
<u>Then, subtract that amount from the total:</u>
80-44=36
Answer:
x+4+2x = 20+5x-32
Step-by-step explanation:
x+4+2x
= 3x + 4
20+5x-32
= 20-32+5x
= 5x-12
Finding the value of X
3x+4 = 5x-12
= 4+12 = 5x-3x
= 16 = 2x
= 16/2 = X
= 8 = X
By putting the value of X in the equation
(3×8)+4
= 24 +4
= 28
(5×8)-12
= 40-12
28
28 = 28
so the X+4+2x < 20+5x-32 is wrong
Answer:
The road width is x = 10 m.
Step-by-step explanation:
A formula for the area of the horizontal rectangle is A1 = (x)(20 m).
A formula for the small rectangle on top of that is A2 = (x)(18 - x).
The total area of the new roadway is 280 m^2.
Summing up A1 and A2 and equating the result to 280 m^2, we get:
20x + 18x - x^2 = 280
Rewriting this in the standard quadratic form:
-x^2 + 38x - 280 = 0
Here the coefficients are a = -1, b = 38 and c = -280.
The discriminant is thus b^2 - 4ac, or:
38^2 - 4(-1)(-280) = 1444 - 4(280) = 324, or 18^2.
Thus, the roots (x-values) are:
-38 ± 18
-------------- = 28 and 10
-2
Only the value x = 10 makes sense here, so we omit the other value (28).
The road width is x = 10 m.
x = ----------------------
