Answer:
all are answers except P(x) = 7x^2 +11x - 6 and P(x) = x^3+ x^2 + x
Step-by-step explanation:
All answers with a negative slope in the highest order polynomial will approach negative infinity as x approaches infinity. This means that all are answers except P(x) = 7x^2 +11x - 6 and P(x) = x^3+ x^2 + x
<em>Given - a+b+c = 0</em>
<em>To prove that- </em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
<em>Now we know that</em>
<em>when x+y+z = 0,</em>
<em>then x³+y³+z³ = 3xyz</em>
<em>that means</em>
<em> (x³+y³+z³)/xyz = 3 ---- eq 1)</em>
<em>Lets solve for LHS</em>
<em>LHS = a²/bc + b²/ac + c²/ab</em>
<em>we can write it as LHS = a³/abc + b³/abc + c</em><em>³</em><em>/abc</em>
<em>by multiplying missing denominators,</em>
<em>now take common abc from denominator and you'll get,</em>
<em>LHS = (a³+b³+c³)/abc --- eq (2)</em>
<em>Comparing one and two we can say that</em>
<em>(a³+b³+c³)/abc = 3</em>
<em>Hence proved,</em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
Answer:
6
Step-by-step explanation:
14x+21+6=12x+39
14x+27=12x+39
14x-12x=39-27
2x=12
x=6
Answer: (x - 3, y - 6) or S(-5 -3, 6 -6)
First we have to figure out how many spaces left to right (x-axis) and how many spaces up and down (y-axis) will get us to S'
x-axis: -5 - 3 = -8
y-axis: 6 - 6 = 0
Now we just add this to the original coordinate to give us the translation coordinate:
S(-5, 6) → S(-5 -3, 6 -6)
