Two students, Carlos and Sophie, factored the trinomial -4x^2 − 10x + 6. Sophie factored it as -2(2x − 1)(x + 3) and Carlos factored it as 2(2x - 1)( x + 3). Indicate which student factored the trinomial correctly and which student did not, and explain why.

carlos did not factor it correctly because there is a negative 4 but 2(2)is 4 instead of -4.

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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