Provide an appropriate response.State whether the following situation represents direct variation, inverse variation, or neither, and explain why: The weight of a roast and the number of servings obtained from it.

What will be an ideal response?


Direct variation; the greater the weight, the greater the number of servings.

Mathematics

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Solve the problem.Penrose tiles are formed from a rhombus WXYZ with sides of length 1 and interior angles 72° and 108°. (Refer to the illustration.) A point O is chosen on the diagonal 1 unit from Y. Line segments OX and OZ are drawn to the other vertices. The two resulting tiles are called a kite (figure OXYZ) and a dart (figure OXWZ). Find the area of the kite tile and the dart tile, correct to the nearest 0.01. 

What will be an ideal response?

Mathematics

Write a third-degree polynomial equation with real coefficients and the roots 5, 5 + i.

What will be an ideal response?

Mathematics

Find an equation of the line described. Write the equation in slope-intercept form if possible.Through (7, -64) and (-3, 26)

A. y = - x - 
B. y = -9x - 1
C. y = x - 
D. y = 9x - 127

Mathematics

Identify the system of linear equations as consistent, inconsistent, or dependent. State whether the system has exactly one solution, no solution, or an infinite number of solutions.

A. consistent-one solution B. dependent-infinite number of solutions C. inconsistent-no solution

Mathematics