|3x + 6 | + 6 = 11
subtracting both sides by 6
| 3x + 6 | = 5
removing the absolute value bars
3x + 6 = +- 5
3x + 6 = 5
x = -1/3
3x + 6 = -5
x = -11/3
solution set is { -1/3 , -11/3 }
(4 points) 17. Solve the equation on the interval [0, 2x) cos 3x cos 3x + sin 3x sin 3x (6 points) 11. Use the Addition or Subtraction Formula only to find the exact value of the expression. Again, you must show your work to receive credit. a) cos b) sin 105
16. (3 points) Solve the rational equation. (2x – 4) = 12 + 3x
QUESTION 11 +3x Solve the first-order differential equation dy e2y2 = dx у
3. Solve the quadratic equation 6 points by quadratic formula. * 3x2 -11% - 20 = 0
Given the equation /3x+6 = 3, solve for x and identify if it is an extraneous solution. 1; solution is extraneous O1; solution is not extraneous 3; solution is extraneous 3; solution is not extraneous
a. Solve the given differential equation. day dy 2 11 +12y = 3x - 2 dx [Hint: n* degree polynomial = 4,1* + 4-1-1+...+41 +41 dxa
Solve the systems of equations by substitution #11 2x-y-2 3x+4y-6 Solve each system by elimination or by any convenient method #13 a) 3x+4y-1 2x-3y-12 b) -4x+3y--!5 3x-2y-4
Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1 variable. Find opposite coefficients for 1 variable. Rearrange. Multiply equation(s) by constant(s). Plug into 2nd equation Add equations together (lose 1 variable). Solve for the other variable. Solve for variable. Then plug answer back into an original equation to solve for the 2nd variable. y = 6 -- 3x solve 1" equation for y 6x +2y = 12 multiply 1" equation by 2 2x...
7. Solve the inequality: -3x+5> 5. Solve the equation 3. Solve the formula H_29 3b 34 for (10) 4. a). Solve the equations. -6(x-1)-13-3(x-2) b) 43 6
Solve the given differential equation. 9) dy + y = 14 +6 cos 3x 9) dx² B) y = ci sin x + c2 cos A) y=cı sin x +c2 cos x + cos 3x +14 C)y=cı sin x +c2 cos x - cos 3x +14 D) y=q sin x +02 cos x - sin 3x+14