To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.
In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!
Answer:
15y=x
Step-by-step explanation:
The question is incomplete, here is the complete question:
Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.
<u>Answer:</u> The half life of the sample of phosphorus-32 is 
<u>Step-by-step explanation:</u>
The equation used to calculate the half life of the sample is given as:
where,
m(t) = amount of sample after time 't' = 356 g
= initial amount of the sample = 500 g
t = time period = 7 days
h = half life of the sample = ?
Putting values in above equation, we get:
Hence, the half life of the sample of phosphorus-32 is
Answer:
x = -2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x + 4(x - 3) = 4(6x + ) -4
8x +(4)(x) + (4)(-3) = (4)(6x) + (4)(4) + -4 (distribute)
8x + 4x + -12 = 24x + 16 + -4
(8x) + (4x) +(-12) = (24x) + (16 + -4) (combine like terms)
12x + -12 = 24x + 12
12x -12 = 24x + 12
Step 2: Subtract 24x from both sides.
12x -12 -24x = 24x + 12 -24x
-12x -12 = 12
Step 3: Add 12 to both sides.
-12x - 12 + 12 = 12 + 12
-12x = 24
Step 4: Divide both sides by -12.
-12x/-12 = 24/-12 <u>x = -2</u>
HOPE THIS HELPED!!!
200,000 thousand is the answer kid.
