Solve the problem.A decorator has 32 clients, 25% of which are businesses. Find the number of business clients.

A. 800 clients
B. 80 clients 
C. 8 clients 
D. 8000 clients 


Answer: C

Mathematics

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Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 3x - 1; relative to f(x) = 3x

A. Moved up 1 unit(s)

B. Moved down 1 unit(s)

C. Moved down 1 unit(s)

D. Moved up 1 unit(s)

Mathematics

Sketch the graph of the quadratic function. Identify the vertex, intercepts, and the equation for the axis of symmetry.f(x) = 3 - x2 + 2x 

A. vertex: (1, 4)
x-intercepts: (-3, 0) and (1, 0)
y-intercept: (0, 3)
axis of symmetry: x = 1

B. vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
y-intercept: (0, 3)
axis of symmetry: x = 1

C. vertex: (- 1, 4)
x-intercepts: (-3, 0) and (1, 0)
y-intercept: (0, 3)
axis of symmetry: x = - 1

D. vertex: (1, - 4)
x-intercepts: (-1, 0) and (3, 0)
y-intercept: (0, 3)
axis of symmetry: x = 1

Mathematics

Simplify.-?-21?

A. -21 B. 42 C. 21 D. 0

Mathematics

Solve using the simplex method.Find x1 ? 0, x2 ? 0, x3 ? 0 such that  x1 + x2 + x3 ? 125  x1 + x2 + x3 ? 75and z = 2x1 + 5x2 + 3x3 is maximized.

A. x1 = 0, x2 = 0, x3 = 125, z = 375 B. x2 = 100, x3 = 25, x1 = 0, z = 575 C. x2 = 125, x1 = 0, x3 = 0, z = 625 D. x1 = 125, x2 = 0, x3 = 0, z = 250

Mathematics