Divide the number of events by the number of possible outcomes
when you do 27 times 1/7 you would get 27/7
Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
A. Let us assume the width of the pool = x
Then
Length of the pool = 3x + 3
Depth of the pool = 2(3x + 3) - 7
= 6x + 6 - 7
= 6x - 1
B. Area of the land space = Width * length
= x * (3x + 3)
= 3x^2 + 3x
C. Volume of the pool = (6x - 1) * (3x^2 + 3x)
= 18x^3 + 18x^2 - 3x^2 - 3x
= 18x^3 + 15x^2 - 3x
D. The highest degree is actually 3 and the number of terms that we get is also 3.
6x +5
Bc u combine like terms
