Provide an appropriate response.The Cauchy density function, f(x) = 
, occurs in probability theory. Show that 
What will be an ideal response?
dx = 
dx = 
= 
= 
. Since f(x) is an even function, 
dx = 
and 
dx = 
+ 
= 1.
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Sketch the graph of the equation. Identify the vertex and the intercepts.y = x2 + 2x - 3
A. Vertex: (1, - 4);
x-intercepts: (-1, 0) and (3, 0);
y-intercept: (0, -3)
B. Vertex: (- 1, - 4);
x-intercepts: (3, 0) and (1, 0);
y-intercept: (0, -3)
C. Vertex: (- 1, - 4);
x-intercepts: (-3, 0) and (1, 0);
y-intercept: (0, -3)
D. Vertex: (1, - 4);
x-intercepts: (-1, 0) and (3, 0);
y-intercept: (0, 3)
Convert the units.3.8 L = 
mL
A. 0.0038 mL B. 0.38 mL C. 380 mL D. 3800 mL
Choose the equation that matches the graph.
y = x2 + 2x - 2; y = x2 + 2x + 2y = x2 - 2x + 2; y = -x2 + 2x + 2
A. y = -x2 + 2x + 2 B. y = x2 + 2x + 2 C. y = x2 - 2x + 2 D. y = x2 + 2x - 2
Solve the investment problem.Walt made an extra $10,000 last year from a part-time job. He invested part of the money at 8% and the rest at 6%. He made a total of $720 in interest. How much was invested at 6%?
A. $8000 B. $4000 C. $5000 D. $6000