The answer in a fraction is 2/5 , the answer in decimal form is 0.4 !
First we find the factors
a^3-8 is the differnce between 2 perfect cubes and is factored out to
(a-2)(a^2+2a+4)
the factors are (a-2) and (a^2+2a+4)
a^4+16
this is not factorable, unless you mistiped it and it was really a^4-16
the factor is 1
a^3+2a^2+4a
factor out the a
a(a^2+2a+4)
this is the most factored out form
the factors are (a) and (a^2+2a+4)
there are no common factors except 1 so 1 is the answer
Answer:
20 rides.
The question:
"There have been two proposals for ticket sales. The first proposes a base fee of $5 for entry into the park and $0.50 per ride. The second plan has no base fee, but charges $0.75 per ride. After How many rides would the cost[s] be equal?"
Step-by-step explanation:
Assume that the two costs become equal after
rides.
- The first plan will cost
dollars. - The second plan will cost
dollars.
The two costs are assumed to be equal. That is:
.
Subtract
from both sides of this equation:
.
.
In other words, the two costs become equal after 20 rides.
x^2 + 2x x^2 - 4
------------------- - --------------------
x^2 - 2x - 8 x^2 - 2x - 8
x(x + 2) - (x+2)(x-2)
= --------------------------------------
(x + 2)(x - 4)
(x + 2) ( x - x + 2)
= --------------------------------------
(x + 2)(x - 4)
2
= ------------
(x - 4)
x is NOT equal -2 and 4
D = x
E = .5x
F = 2x-2
(x)+(.5x)+(2x-2)=180
3.5x-2=180
3.5x=182
x=52
F = 2(52)-2 = 102 degrees