Evaluate (4x + y)^2 − 2z for x = 4, y = −2, and z = 6.

(4x + y)^2 − 2z =

Step-by-step explanation:

(4x + y)² - 2z = 16x² + 8xy + y² - 2z

substituting x = 4, y = -2 and z = 6,

= 16(4)² + 8(4)(-2) + (-2)² - 2(6)

= 16(16) + 8(-8) + 4 - 12

= 256 - 64 - 8

= 184

=

$35.59 in pounds

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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