First number is x.
Second number is (x+1).
Their sum is (x+x+1)=(2x+1)
2x+1=25
2x=25-1
2x=24
x=12
x+1=13
Numbers are 12 and 13.
(x - 5)(x + 5)(2x - 1)
= (x ^ 2 - 25)(2x - 1)
= 2x ^ 3 - x ^ 2 - 50x + 25
SimplifyingY + -9 = 4(x + -2)
Reorder the terms:-9 + Y = 4(x + -2)
Reorder the terms:-9 + Y = 4(-2 + x)-9 + Y = (-2 * 4 + x * 4)-9 + Y = (-8 + 4x)
Solving-9 + Y = -8 + 4x
Solving for variable 'Y'.
Move all terms containing Y to the left, all other terms to the right.
Add '9' to each side of the equation.-9 + 9 + Y = -8 + 9 + 4x
Combine like terms: -9 + 9 = 00 + Y = -8 + 9 + 4xY = -8 + 9 + 4x
Combine like terms: -8 + 9 = 1Y = 1 + 4x
SimplifyingY = 1 + 4x
Answer:
A line plot shows all the numbers lined up and will easily show what the mode, or most occurring number is. A stem and leaf plot shows this, but is less clear and is more used for what numbers are.
F(x) = (x-16)(x+16)
f(x) = (x - 16)²
To find the maximum, we set the first derivative equal to 0 and then calculate x.
f'(x) = 2(x - 16)
0 = 2(x - 16)
x = 16
The maximum height of the road is 16 feet.
