Rewriting the given expression by rationalizing the denominator we proceed as follows:
[√3-√6]/[√3+√6]
to rationalize the denominator we multiply the numerator and the denominator by the conjugate. Thus we shall have:
[√3-√6]/[√3+√6]×[√3-√6]/[√3-√6]
={√3(√3-√6)-√6(√3-√6)}/{√3(√3+√6)-√6(√3+√6)}
=[3-√3√6-√3√6+6]/[3+√3√6-√3√6-6]
simplifying the above we obtain:
[3-2√18+6]/[3-6]
=[3+6-6√2]/(-3)
=[9-6√2]/(-3)
=2√2-3
Answer: 2√2-3
225/5 = 360/x
225x = 1,800
225x/225 = 1,800/225 = 8
It would take him 8 minutes
G(2) = 2 + 4/3 = 10/3
f(g(x)) = f(g(2)) = (10/3)^2 + 20/3 + 3 = 187/9 = 20 7/9 answer
Answer:
1417.2488 for the first one
9 percent - 1341.680089
11 percent - 1496.331642
Step-by-step explanation:
Attached you'll find my calculator work!
I don't know the exact formula so ill use my own variables to describe what i did!
A = P(1 + n)^t
A = End result / how much money is left
P = initial principle (initial starting amount)
n = interest rate in decimal / rate of growth
t = time
So essentially, your initial amount is 800, your interest is 0.11, 0.10, 0.09, and your time is 6. So you plug those values in and you can find your answers
X = 2a - b²
x - 2a = b²
√x-2a = b
Just to clarify, all of x-2a is under the square root.