Solve the exponential equation. Round to three decimal places when necessary.ex + e-x = 3
A. 0.962, -0.962
B. 0.916, -0.693
C. 1.195, -1.195
D. 0.557, -1.368
Answer: A
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Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 1Density: ? =
A. Iz = ?
B. Iz = ?
C. Iz = 16?
D. Iz = 2?
Solve the problem.One number is 6 less than a second number. Twice the second number is 27 more than 3 times the first. Find the two numbers.
A. 9 and 15 B. -14 and -8 C. -16 and -10 D. -15 and -9
Solve.A 20-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. How high up the house does the ladder reach? Round to the nearest tenth foot.
A. 20.4 feet B. 19.8 feet C. 16 feet D. 19.6 feet
Sketch the graph of the quadratic function. Identify the vertex, intercepts, and the equation for the axis of symmetry.f(x) = x2 - 5x + 1
A. vertex: (0, 1)
x-intercepts: none
y-intercept: (0, 1)
axis of symmetry: x = 0
B. vertex: (2, -9)
x-intercepts: (-1, 0) and (5, 0)
y-intercept: (0, -5)
axis of symmetry: x = 2
C. vertex:
x-intercepts:
y-intercept: (0, 1)
axis of symmetry: x =
D. vertex:
x-intercepts:
y-intercept: (0, 1)
axis of symmetry: x = -