Question

1. solve the equation below. 2 - 4a = 18
2. solve the equation below. 12 - \frac{1}{9}n = 17
3. solve the inequality below. 4x - 1 ≤ -29
4. solve the inequality below. \frac{x - 13}{-6}<3
5. which graph represents the solution to the inequality below? 4 - 2x > -2

a. a number - line with an open - circle at 0 and the line shaded to the left.
b. a number - line with an open - circle at 3 and the line shaded to the left.
c. a number - line with an open - circle at 3 and the line shaded to the right.
d. a number - line with an open - circle at 0 and the line shaded to the right.
b. rob would like to create a triangle that is seven less than twice the perimeter of the triangle below. give an expression for the perimeter of the new triangle in simplest form. y + 9, 2y, 4y - 1

Explanation:

31. Solve the equation \(2 - 4a=18\)

Step1: Isolate the term with the variable

Subtract 2 from both sides of the equation.
\(2-4a - 2=18 - 2\)
\(-4a=16\)

Step2: Solve for \(a\)

Divide both sides by - 4.
\(a=\frac{16}{-4}\)

Step1: Isolate the term with the variable

Subtract 12 from both sides of the equation.
\(12-\frac{1}{9}n-12 = 17-12\)
\(-\frac{1}{9}n=5\)

Step2: Solve for \(n\)

Multiply both sides by - 9.
\(n=5\times(-9)\)

Step1: Isolate the term with the variable

Add 1 to both sides of the inequality.
\(4x-1 + 1\leq-29 + 1\)
\(4x\leq-28\)

Step2: Solve for \(x\)

Divide both sides by 4.
\(x\leq\frac{-28}{4}\)

Answer:

\(a = - 4\)

32. Solve the equation \(12-\frac{1}{9}n = 17\)