Provide an appropriate response.You have solved an application problem that results in a quadratic equation. The quadratic equation gives two answers. Why is it necessary to carefully check both answers?
What will be an ideal response?
First, one of the solutions may not fit the physical limitations of the problem. For example, if one is finding the lengths of the sides of a rectangle, it would not be appropriate to use a negative solution. Also, if the quadratic equation is the result of squaring both sides of a radical equation, both solutions must be checked, because squaring does not guarantee equivalent equations. Finally, if the original equation involves fractions, one or more of the solutions could make a denominator zero.
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Solve the inequality. Graph the solution set and write it in interval notation.
< 5
A. (-30, ?)
B. (-?, -30)
C. [-30, ?)
D. (-?, -30]
VR 2 = 8 V, VR1 = 9 V, and VR4 = 24 V. What is VR3 ?
a. 17 V
b. 16 V
c. 15 V
d. 7 V
e. 1 V
Solve. Round to the nearest tenth when necessary.The zoo has hired a landscape architect to design the triangular lobby of the children's petting zoo. In his scale drawing, the longest side of the lobby is 17 cm. The shortest side of the lobby is 5 cm. The longest side of the actual lobby will be 36 m. How long will the shortest side of the actual lobby be?
A. 1.2 m B. 10.6 m C. 122.4 m D. 0.1 m
Decide whether or not the ordered pair is a solution of the system.(-4, 3)x + y = 7x - y = 1
A. No B. Yes