a.
The polynomial w^2+18w+84 cannot be factored
The perfect square trinomial is w^2+18w + 81
----------
The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.
w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9
================================================
b.
The polynomial y^2-10y+23 cannot be factored
The perfect square trinomial is y^2-10y + 25
---------
Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.
If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)
Answer:
Where is the picture? I can help
Step-by-step explanation:
Answer:
4000 gallons.
Step-by-step explanation:
One day's discharge at the mouth of the river is 2 trillion gallons and it can supply all of country A's households for five months.
Now, if there are 100 million households in country A.
Then, the amount of water an average household uses each month will be given by
gallons. (Answer)
Answer:
all real numbers
Step-by-step explanation:
5|2x + 4| > -10
Divide by 5
5/5|2x + 4| > -10/5
|2x + 4| > -2
An absolute value is always greater than a negative number so the solution is all real numbers
