12) If a, b and c are the roots of x' – 2 x² + 3 x – 4 = 0, find the numerical value of a’ + b' + c°. a) 4 b) 3 c) 2 d) - 2 13) Let x, y, and z be positive real numbers such that x(y + z) = 95, y(x + z) = 128 and z(x + y) = 143. Find xyz. a) 500 b) 440 c) 400 d) 330 14) A rhombus has a 60 degree angle. What is the ratio of its area to that of a circle inscribed inside it? a) 1.24 b) 1.47 c) 1.75 d) 1.55 16) A sphere has a diameter of 30 cm. The altitude of the first segment is 6 cm. What is the ratio of the area of zone of the second segment to that of the first ? a) 1.5:1 b) 6:1 c) 2:1 d) 4 :1 17 ) In a group of five friends, the sums of the ages of each group of four of them are 124, 128, 130, 136, and 142. What is the age of the youngest? a) 22 b) 24 c) 21 d) 23

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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plz do all the subparts

12) If a, b and c are the roots of x' - 2x +3 x- 4= 0, find the numerical value of a + b³ + c?.
a) 4
b) 3
c) 2
d) - 2
13) Let x, y, and z be positive real numbers such that x(y + z) = 95, y(x + z) = 128 and z(x + y) = 143. Find xyz.
a) 500
b) 440
c) 400
d) 330
14) A rhombus has a 60 degree angle. What is the ratio of its area to that of a circle inscribed inside it?
a) 1.24
b) 1.47
c) 1.75
d) 1.55
16) A sphere has a diameter of 30 cm. The altitude of the first segment is 6 cm. What is the ratio of the area of
zone of the second segment to that of the first ?
a) 1.5:1
b) 6 :1
c) 2:1
d) 4:1
17 ) In a group of five friends, the sums of the ages of each group of four of them are 124, 128, 130, 136, and
142. What is the age of the youngest?
a) 22
b) 24
c) 21
d) 23
Transcribed Image Text:12) If a, b and c are the roots of x' - 2x +3 x- 4= 0, find the numerical value of a + b³ + c?. a) 4 b) 3 c) 2 d) - 2 13) Let x, y, and z be positive real numbers such that x(y + z) = 95, y(x + z) = 128 and z(x + y) = 143. Find xyz. a) 500 b) 440 c) 400 d) 330 14) A rhombus has a 60 degree angle. What is the ratio of its area to that of a circle inscribed inside it? a) 1.24 b) 1.47 c) 1.75 d) 1.55 16) A sphere has a diameter of 30 cm. The altitude of the first segment is 6 cm. What is the ratio of the area of zone of the second segment to that of the first ? a) 1.5:1 b) 6 :1 c) 2:1 d) 4:1 17 ) In a group of five friends, the sums of the ages of each group of four of them are 124, 128, 130, 136, and 142. What is the age of the youngest? a) 22 b) 24 c) 21 d) 23
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