x³ + y³ + z³ - 3xyz is a multiple of x+y+z.
<h3>What is a multiple?</h3>
It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.
Put x + y + z = 0
= x³ + y³ + z³ - 3xyx
= 0(x² + y² + z² - xt - yz - zx)
= x³ + y³ + z³ - 3xyz = 0.
x³ + y³ + z³ = 3xyz
Learn more about multiples on:
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Answer:
Step-by-step explanation:
7.5xsin(16.7)/2.5=0.8620815595
sin-1(0.8620815595)=59.55110984
Y - 11 = 3(x + 4)....distribute thru the parenthesis
y - 11 = 3x + 12....add 11 to both sides
y = 3x + 12 + 11...simplify
y = 3x + 23 <==
To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.
I will show you calculation for (5,-2)
plug into y>x
-2>5
which is clearly false.
plug into y<x+1
-2<5+1
or -2<6
which is also false.
hence (5,-2) is not in the solution.
Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.
Hence answer will be "No Solution from given choices".
