Find x3 - 2y2 - 3x3 + z4 if x = 3, y = 5, and z = -3.
-185
-77
-23
85
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OpenStudy (tkhunny):
Why not substitute and evaluate?
OpenStudy (anonymous):
Well, \[3^{3} - 2y ^{2} + -3^{4} ?\]
OpenStudy (anonymous):
@tkhunny
OpenStudy (anonymous):
Sorry, -2(5)^2
OpenStudy (tkhunny):
Where did the z go?
Substitute the value for 'y', too. Get them all!
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OpenStudy (tkhunny):
x^3 - 2y^2 - 3x^3 + z^4
x = 3
(3)^3 - 2y^2 - 3(3)^3 + z^4
y = 5
(3)^3 - 2(5)^2 - 3(3)^3 + z^4
z = -3
(3)^3 - 2(5)^2 - 3(3)^3 + (-3)^4
Just like that.
OpenStudy (anonymous):
3^3 = 27
OpenStudy (anonymous):
2(5)^2 = 20
OpenStudy (anonymous):
3(3)^3 = 81?
OpenStudy (anonymous):
-3^4 = 81
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OpenStudy (tkhunny):
Not quite. Let's try that again.
(3)^3 - 2(5)^2 - 3(3)^3 + (-3)^4
3^3 = 27 -- You got that.
27 - 2(5)^2 - 3(3)^3 + (-3)^4
2(5^2) = 2*25 = 50
27 - 50 - 3(3)^3 + (-3)^4
3(3^3) = 81 -- You got this one.
27 - 50 - 81 + (-3)^4
(-3)^4 = +81 -- Careful with the notation. This MAY be different from -3^4. These two expressions are not ALWAYS the same.
27 - 50 - 81 + 81