(x^3-2x^2+3x-4)(x-1)-(2x-3)(x^2-x+1 )

x^4−5x^3+10x^2−12x+7

Step-by-step explanation:

Distribute:

=(x^3)(x)+(x^3)(−1)+(−2x^2)(x)+(−2x^2)(−1)+(3x)(x)+(3x)(−1)+(−4)(x)+(−4)(−1)+−2x^3+5x^2+−5x+3

=x^4+−x^3+−2x^3+2x^2+3x^2+−3x+−4x+4+−2x^3+5x^2+−5x+3

Combine Like Terms:

=x^4+−x^3+−2x^3+2x^2+3x^2+−3x+−4x+4+−2x^3+5x^2+−5x+3

=(x^4)+(−x^3+−2x^3+−2x^3)+(2x^2+3x^2+5x^2)+(−3x+−4x+−5x)+(4+3)

=x^4+−5x^3+10x^2+−12x+7

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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