Determine whether the following is always true or not always true. Given reasons for your answers.
= 
What will be an ideal response?
Always true by definition.
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Factor the trinomial, or state that the trinomial is prime.x2 - x - 35
A. (x - 5)(x + 7) B. (x - 35)(x + 1) C. (x + 5)(x - 7) D. prime
Find the distance d(P1, P2) between the points P1 and P2.P1 = (0, 10); P2 = (5, 10)
A. 5
B. 10
C. 25
D. 5
Solve the problem.Northwest Molded molds plastic handles which cost $0.90 per handle to mold. The fixed cost to run the molding machine is $2249 per week. If the company sells the handles for $1.90 each, how many handles must be molded and sold weekly to break even?
A. 1499 handles B. 803 handles C. 2498 handles D. 2249 handles
Solve the problem.Julia is preparing a meal by combining three ingredients. One unit of each ingredient provides the following quantities (in grams) of carbohydrates, fat, and protein. Protein(g)Carbohydrates(g)Fat (g)Ingredient A331Ingredient B242Ingredient C451Ideally the meal should contain 
of protein, 
of carbohydrates, and 
of fat. How many units of each ingredient should Julia use?
A. 2 grams of ingredient A, 3 grams of ingredient B, 4 grams of ingredient C B. 3 grams of ingredient A, 4 grams of ingredient B, 2 grams of ingredient C C. 4 grams of ingredient A, 2 grams of ingredient B, 3 grams of ingredient C D. 2 grams of ingredient A, 4 grams of ingredient B, 3 grams of ingredient C