Parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.x = t3 + 2, y = 7 - t4; t = 2

A. (15, -14)
B. (10, -9)
C. (10, 23)
D. (15, -1)


Answer: B

Mathematics

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The augmented matrix is in row-echelon form and represents a system of linear equations. Solve the system using backward substitution.  Write the solution as an ordered triple, if possible.

A. No solution B. (60, -22, 5) C. (65, -24, 5) D. (60, -24, 5)

Mathematics

Solve the problem.The roof of a building is in the shape of the hyperbola  where x and y are in meters. Determine the distance, w, the outside walls are apart, if the height of each wall is 9 m.

A. 24 m B. 11.7 m C. 4.9 m D. 9.8 m

Mathematics

Solve the problem or provide an explanation.Graph y = -x2 + 4x + 5 and f(x) =  together on your graphing calculator. State the domain of f(x) and explain the connection between the domain of f(x) and the graph of 

A. The domain of f(x) is [-1, 5]. The domain of f(x) is the set of all x-values for which the graph of  is on or above the x-axis.
B. The domain of f(x) is ?. There is no connection between the domain of f(x) and the graph of 
C. The domain of f(x) is (-?, -1] ? [5, ?). The domain of f(x) is the set of all x-values for which the graph of  is on or below the axis.
D. The domain of f(x) is (-?, ?). The domain of f(x) is the same as the domain of y = -x2 + 4x + 5.

Mathematics

Write the equation in slope-intercept form.x = 9y + 4

A. y = 9x - 4
B. y = x - 
C. y = x - 
D. y = x - 4

Mathematics