Write the given statement as an equation.John kept track of the time it took him to drive to college from his home and the speed at which he drove. He found that the time t varies inversely as the speed r.

A. t = kr
B. t = 
C. r = kt
D. t = 


Answer: B

Mathematics

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Find the product.(x + 4y)3

A. x3 + 4x2y + 8xy + 16xy2 + 32y2 + 64y3 B. 3(x + 4y)  C. x3 + 12x2y + 48xy2 + 64y3 D. x3 + 64y3

Mathematics

Verify the identity.tan  = 

What will be an ideal response?

Mathematics

Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = 3x2 - 12x + 8

A. vertex: (2, -4)
axis of symmetry: x = 2
x-intercepts:  and 
y-intercept: 8
domain: (-?, ?); range: [-4, ?)
 
B. vertex: (-4, 2)
axis of symmetry: x = -4
x-intercepts: none; y-intercept: 
domain: (-?, ?); range: [2, ?)

C. vertex: (-2, -4)
axis of symmetry: x = -2
x-intercepts:  and 
y-intercept: 8
domain: (-?, ?); range: [-4, ?)
 
D. vertex: (-3, -2)
axis of symmetry: x = -3
x-intercepts: -3 + 2 and -3 - 2
y-intercept: 
domain: (-?, ?); range: [-2, ?)
 

Mathematics

For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists.

A. Absolute maximum: f(2) = 7; Absolute minimum: f(3) = 0 B. Absolute maximum: f(7) = 2; Absolute minimum: f(0) = 3 C. Absolute maximum: f(6) = 5; Absolute minimum: f(1) = 2 D. Absolute maximum: f(5) = 6; Absolute minimum: f(2) = 1

Mathematics