The simplified expression by rationalizing the denominator is (C).First we must simplify the expression:
Then we factor the rational parts and cancel it out:
Then we rationalize the expression:
<span>Finally, the simplified expression by rationalizing the denominator is (C)
.</span>
Answer:
\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}
\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}
Step-by-step explanation:
I do believe it would be x=30
Mario's mistake is made when doing reciprocal.
7 / (2/3) =
I cannot divide by 2/3, but if I do reciprocal, I can multiply by 3/2. The seven comes first, so it should not be flipped.
Mario's mistake was when he flipped the 7 (or 7/1) to 1/7.
First equation
L.H.S = 4x -0.25y
so it doesn't equal the R.H.S
2nd equation
R.H.S = 15q + 3qr
so it doesn't equal the L.H.S
3rd equation
R.H.S = -30m -60n
so R.H.S doesn't equal L.H.S
4th equation
L.H.S = -16a +4
so L.H.S equal R.H.S
The answer is D