Provide an appropriate response.Find the roots of the following equation: (2x - 3)(x + 5) = 0
Fill in the blank(s) with the appropriate word(s).
(3/2), -5
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Find the average value of the function f over the given region.f(x, y) = ex2 over the region bounded by ,
,
, and
.
A. 2e - 1
B. e - 1
C.
D.
Find an equation of the parabola with focus and directrix
Solve the problem.Benjamin never has more than 23 hours free during the week. He is trying to make a weekly plan for dividing his free time between reading and working out. He wants to spend at least 6 hours per week reading. Write a system of inequalities to describe the situation. Let x represent the number of hours for reading and y represent the number of hours for working out.
A. x + y ? 23 y ? 6 x ? 0 B. x + y ? 23 x ? 6 y ? 0 C. x + y ? 23 x ? 6y x ? 0 y ? 0 D. x + y ? 23 x ? 6y x ? 0 y ? 0
Solve the problem.When determining appropriate doses of medication, it is sometimes important to estimate the body surface area (BSA) of a patient. This surface area (in m2) can be approximated using the Mosteller formulaBSA = 1/2,
where h is the patient's height in centimeters and w is the weight in kilograms. Determine the BSA for a patient with height 200 cm and weight 61 kg. Round your answer to two decimal places.
A. 11.48 m2 B. 3.39 m2 C. 0.03 m2 D. 1.84 m2