Quadratic Formula:
-b +/- √b² - 4ac
x = --------------------------
2a
In your equation 3x² + 5x + 2 = 0:
a = 3
b = 5
c = 2
Now, plug in these values into the formula.
-5 +/- √5² - 4(3)(2) -5 +/- √25 - 4(6)
x = -------------------------------- ⇒ x = -----------------------------
2(3) 6
-5 +/- √25 -24 -5 +/- √1 -5 +/- 1
x = ------------------------ ⇒ x = --------------- ⇒ x = --------------
6 6 6
-5 +/- 1
Split x = ------------ into two solutions by solving it.
6
-5 + 1 -4
x = ------------ = ------
6 6
-5 - 1 -6
x = ----------- = ------ = -1
6 6
The two final solutions are x = -1 and x = -4/6
Answer:
200 units
Step-by-step explanation:
The total income must be at least equal to the costs, and that is:
10*U = 5*U + 1000 Solving for U, which is the amount of units sold per month:
U = 1000/5 = 200 units.
785.63-(57+125)
=785.63-182
=603.63
603.63+57.25=$660.87
Answer:
Step-by-step explanation:24,000
The <em>correct answer</em> is:
The first number is 0.062.
Explanation:
Let x represent the first number in the list.
We add 0.001 to each number to find the next number; this gives us:
x + 0.001 + 0.001 = 0.064
Combining like terms, we have:
x + 0.002 = 0.064
Subtract 0.002 from each side:
x + 0.002 - 0.002 = 0.064 - 0.002
x = 0.062
