SOLUTION: 6z + 1 + 4x^2 - 3y^3 + 7x - 8y^2 + 2x^2 - x + 5z – 17 and evaluate it for x = -2, y = -3, z = -5 identify variables, constants and coefficients

Algebra ->  Equations -> SOLUTION: 6z + 1 + 4x^2 - 3y^3 + 7x - 8y^2 + 2x^2 - x + 5z – 17 and evaluate it for x = -2, y = -3, z = -5 identify variables, constants and coefficients      Log On


   

Question 560224: 6z + 1 + 4x^2 - 3y^3 + 7x - 8y^2 + 2x^2 - x + 5z – 17 and evaluate it for x = -2, y = -3, z = -5 identify variables, constants and coefficients
Found 2 solutions by Maths68, richard1234:
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
=6z%2B1%2B4x%5E2-3y%5E3%2B7x-8y%5E2%2B2x%5E2-x%2B5z-17
Combine like terms
=4x%5E2%2B2x%5E2-3y%5E3-8y%5E2%2B7x-x%2B6z%2B5z-17%2B1
=6x%5E2-3y%5E3-8y%5E2%2B6x%2B11z-16


Variables are x,y,z
constant is -16
Coefficients are 6,-3, -8, 6, and 11


Evaluate
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=6x%5E2-3y%5E3-8y%5E2%2B6x%2B11z-16
Put x= -2, y=-3 and z=-5
=6%28-2%29%5E2-3%28-3%29%5E3-8%28-3%29%5E2%2B6%28-2%29%2B11%28-5%29-16
=6%284%29-3%28-27%29-8%289%29-12-55-16
=24%2B81-72-12-55-16
=105-155
=-50

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Just replace x = -2, y = -3, and z = -5 into the expression and simplify, i.e.

6(-5) + 1 + 4(-2)^2 - 3(-3)^3 + 7(-2) - 8(-3)^2 + 2(-2)^2 - (-2) + 5(-5) – 17


Be careful using the order of operations, and note that a negative number times a negative number equals a positive number. You should get -50 as your answer.
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Identifying variables, constants, and coefficients is quite straightforward. A variable is simply a symbol or letter that represents a number (x,y,z in this case). A constant is a fixed number (-17 in this case), and a coefficient is a constant that is multiplied with a variable.