12. Write the following expression in the form ax? +bx+c, where a, b, and c are real number constants. (x+6)(x+5)+(x+6)(x-2)

x=35

Step-by-step explanation: (x+6)(x+5)+(x+6)(x-2) = (x+6) X (2x+3)= 35

((x + 6) • (x + 5)) +  (x + 6) • (x - 2)

Pull out     x+6  

After pulling out, we are left with :

     (x+6) • ( 1  *  (x+5) - (-1)  *  (x-2) ))

  (x + 6) • (2x + 3)=35

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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step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years