(I will be using "x" as the variable name instead of the f - there is some curse word filter that gets triggered on my response and I could not save it)
first simplify each side of the equation:
-x+2+4*x=8-3*x
3*x+2=-3*x+8
then solve for x:
0*x = 6
0 = 6
this equation is never true. This result means that there are no solutions for x that would satisfy the original equation. In other words the set of solutions is empty. let me know if you have questions
Arc length = rθ [r = radius of the circle, θ = central angle in radians] ⇒
2π = 8*θ ⇒ θ = 2π/8 = π/4
Answer:
(x + 10)^2 + (-186)
Step-by-step explanation:
x^2 + 20x - 86 =
Move the constant term to the right leaving a space between the x-term and the constant term.
= x^2 + 20x - 86
To complete the square, take half of the x-term coefficient and square it.
Half of 20 is 10. 10 squared is 100. This is the number that completes the square. Add it right after the x-term. Now you need to subtract the same amount at the end.
= x^2 + 20x + 100 - 86 - 100
Since 100 was added and subtracted, the expression has the same value. The first three terms are a perfect square trinomial, so we write it as the square of a binomial.
= (x + 10)^2 - 186
Since you have an addition sign, we write -186 as a sum:
= (x + 10)^2 + (-186)
Answer:
a) 1325 frogs b)75.47 hours
Step-by-step explanation:
start = 150 frogs
after 4 hours = 530
1) figure out how many frogs per hour 530/4 = 132.5 frogs per hour
2) 10 hours after initial time * 132.5 frogs = 1325 frogs
3) Time to reach 10000 frogs is => 10000 / 132.5 = 75.47 hours
