It must be an odd number because 3^7 is also shown as:
3x3x3x3x3x3x3
Which equals:2,187
2,187 is an odd number because the last number is a 7 which is odd.
Answer:
5/12
Step-by-step explanation:
1/4 of the cakes is 60 divided by 4 which is 15. That goes to Helen
20 go to Sue
so far, he has given away 35 cakes out of the 60
he is left with 25 cakes
that is 25/60 which can be simplified to 5/12
9 = 2(6) - b
9 = 12 - b
-3 = b
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)
