We have to simplify the given expression:
Dividing the terms of the numerator by the given term of denominator individually, we get
= 
By using the laws of exponent, 
, we get
= 
= 
= 
= 
Therefore, the simplification of the given expression is .
So, Option 3 is the correct answer.
Answer:
Step-by-step explanation:
<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
Answer:
0.5 × 10^7
Step-by-step explanation:
1.6 divided by 3.2 =0.5
10 to the power or 14 minus 10 to the power of 7 = 10 to the power of 7
in division you must subtract the power number
Ax=15+bx
ax-bx=15
x(a-b)=15
x=15/(a-b)
