The graph of the function g is formed by applying the indicated sequence of transformations to the given function f. Find an equation for the function g. The graph of f(x) = ?x is horizontally stretched by a factor of 0.7, reflected in the y axis, and shifted five units to the left.


Mathematics

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Provide an appropriate response.A catamaran is running along a course with the wind providing a constant force of 36 lb. The only other force acting on the boat is resistance as the boat moves through the water. The resisting force is numerically equal to three times the boat's speed, and the initial velocity is 1 ft/sec. What is the maximum velocity in feet per second of the boat under this wind?

A. The maximum velocity occurs when   = 14 or v = 0 ft/sec
B. The maximum velocity occurs when   = 0 or v = 12 ft/sec
C. The maximum velocity occurs when   = 0 or v = 14 ft/sec
D. The maximum velocity occurs when   = 12 or v = 0 ft/sec

Mathematics

Find the exact value of the expression.

A. - 
B. - 
C. -2
D. -

Mathematics

Solve the system by the addition method, if possible.  If a solution exists, give the value of y. ? ?

A. -3 B. 1 C. -1 D. 5 E. no solution

Mathematics

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.y = -3x3 + 9x

A. y-axis B. x-axis C. origin D. x-axis, y-axis, origin E. none

Mathematics