A polygon is shown on the graph: A polygon is shown on a coordinate plane. Vertex A is located at 2 comma negative 1, vertex B is located at 1 comma negative 4, vertex C is located at 3 comma negative 5, vertex D is located at 5 comma negative 3. If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

What value of x is in the solution set of –5x – 15 > 10 + 20x?

34 cup. a serving of vegetable soup is 23 cup. the restaurant sold 20 servings of chicken noodle soup and 18 servings of vegetable soup. how many more cups of chicken noodle soup did they sell than cups of vegetable soup?

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.