a.
The polynomial w^2+18w+84 cannot be factored
The perfect square trinomial is w^2+18w + 81
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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
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b.
The polynomial y^2-10y+23 cannot be factored
The perfect square trinomial is y^2-10y + 25
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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)
<span>If you have a high confidence level, the chance of rejecting the null hypothesis is rare.
If you have a low confidence level, the chance of of rejecting the null hypothesis is nonexistent.
If you have a low confidence level, the chance of of rejecting the null hypothesis is rare.
If you have a high confidence level, the chance of of rejecting the null hypothesis is high.</span>
Answer:
7.3 in
Step-by-step explanation:
area = 27 = 54/2 = (x^2)/2
so what squared is 54?
7.34 whatever inches.
round it down, that's 7.3.
Answer:
$6.30 each bottle
Step-by-step explanation:
What you do is you take $4.50 and times it by .40
<em>4.50 x .40 = 1.80</em>
<em>1.80 + 4.50 = 6.30</em>
$6.30 each bottle
