Take half of the coefficient of x (which is 2/5) and square it:
[ (1/2)(2/5) ]^2 = (1/5)^2 = 1/25, or 0.04
Thus, to rewrite x^2 + (2/5)x to include a perfect square trinomial,
x^2 + (2/5)x = x^2 + (2/5)x + (1/5)^2 - (1/5)^2, or
(x+1/5)^2 - (1/5)^2, or (x + 1/5)^2 - 1/25
Answer:
9,500 bottles.
Step-by-step explanation:
1 cubic meter = 1000000 milli liters
We can convert (2.85 cubic meter) to (milli liters) as
1 cubic meter = 1000000 milli liters
2.85 cubic meter = X milli liters
If we Cross multiply and find X, we have
X milli liters = [(2.85 cubic meter × 1000000 milli liters) ] / 1 cubic meter
X= 2850,000 milli liters
Then (2.85 cubic meter) will be equal to ( 2850,000 milli liters)
Capacity of the Bottle = 300 ml
Number of bottles that 300 ml capacity can be filled out of it =
(2850,000 milli liters) / (300 ml)
= 9,500 bottles.
2/5(x - 1) < 3/5(1 + x)
To find the solution, we can use the distributive property to simplify.
2/5x - 2/5 < 3/5 + 3/5x
Multiply all terms by 5.
2x - 2 < 3 + 3x
Subtract 2x from both sides.
-2 < 3 + x
Subtract 3 from both sides.
-5 < x
<h3><u>The value of x is greater than the value of -5.</u></h3>
Answer:
3.375
Step-by-step explanation:
(3/5)^3 / (2/5)^3 = 3.375
