If y varies directly as x, find the direct variation equation for the situation.y = 0.3 when x = 1.2

A. y = x - 0.9
B. y = 0.25x
C. y = 0.3x
D. y = 4x


Answer: B

Mathematics

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Use the two steps for solving a linear programming problem to solve the problem.Suppose that Janine desires 46 grams of protein and 38 grams of dietary fiber daily. One serving of kidney beans has 8 grams of protein and 6 grams of dietary fiber. One serving of refried pinto beans has 6 grams of protein and 6 grams of dietary fiber. If a serving of kidney beans costs $0.45 and a serving of refried pinto beans costs $0.35, then how many servings of each should Janine eat to minimize cost and still meet her requirements?

A.  servings of refried pinto beans and no kidney beans
B. 4 servings of refried pinto beans and  servings of kidney beans
C.  servings of kidney beans and no refried pinto beans
D.  servings of refried pinto beans and 4 servings of kidney beans

Mathematics

Find the indicated composite for the pair of functions.Given f(x) = 4x2 + 2x + 3 and g(x) = 2x - 7, find (g ? f)(x).

A. 8x2 + 4x - 1 B. 4x2 + 2x - 4 C. 4x2 + 4x - 1 D. 8x2 + 4x + 13

Mathematics

Use elimination to solve each system of equations, if possible. Identify the system as consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent.  +  = 4 - 2y = 21

A. (-6, -8); consistent and independent B. (6, 8); consistent and independent C. (-6, 8); consistent and independent D. (6, -8); consistent and independent

Mathematics

Write the binomial expansion of the expression.(2x2 - y)5

A. 32x10 - 80x8y - 80x6y2 - 40x4y3 - 10x2y4 - y5 B. 32x10 - 80x8y + 80x6y2 - 40x4y3 + 10x2y4 - y5 C. 32x10 + 80x8y + 80x6y2 + 40x4y3 + 10x2y4 + y5 D. -32x10 + 80x8y - 80x6y2 + 40x4y3 - 10x2y4 + y5

Mathematics