Assuming that the roots of the given quadratic equation are

obtain the sum and product of the roots

Sum = -7/3 and the product = -2.

Step-by-step explanation:

Consider the equation ax^2 + bx + c = 0 if the roots are α and β then

The sum  α + β = -b/a and  the produce αβ = c/a.

So for the given equation:

The sum = -7/3 and the product = -6/3 = -2.

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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