Step-by-step explanation:
(2x_5)(x+4)
2x(x+4)_5(x+4)
2x²+8x_5x_20
2x²+3x_20=3x+30
2x²+3x_3x=30+20
2x²=50
√2x²=√50
2x=7.071
2x/2=7.071/2
ans=3.536
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Answer:
31 people
Step-by-step explanation:
Total # of people: 50
22% of 50: 0.22 * 50 = 11 people
16% of 50: 0.16 * 50 = 8 people
11 + 8 = 19 people who didn't go on a nature walk
50 - 19 = 31 people who went on a nature walk
First find expressions for the other two dimensions by dividing the expression for the volume by the expression for the width via either long or synthetic division. We will use synthetic division here. Hence
-3| 1 5 -57 -189
| -3 -6 189
___________
1 2 -63 0
So we have a remainder of 0 which confirms that (x+3) is a factor of
(x³ + 5x² -57x - 189). The quotient we obtained is
q(x) = x² + 2x -63 = (x + 9)(x - 7)
Thus (x + 9) and (x - 7) are possible expressions for height and depth. However, we were told that the height is greater than the depth, thus
(x + 9) represents the height and (x - 7) represents the depth.
We were given that the width (x + 3) is 15 in. Thus x = 12.
∴ height is 12 + 9 or 21 in. and the depth is 12 - 7 or 5 in.
