15. What do the graphs of the following equations under the given conditions in each part of the problem have in commo a. y = m(x – 3), for different real number values of m? b. y = m(3 – x), for different real number values of m? c. x – y = a, for different real number values of a? 6. y = m(x – 1) + 1, for different real number values %3D of m? * 16. Suppose a car is traveling at a constant speed of 45 mph. a. Draw a graph showing the relation between the distanc traveled and the amount of time that it takes to travel tl distance. b. What is the slope of the line you drew in part (a)? 17. Solve each of the following systems, if possible. Indicate whether the system has a unique solution, infinitely many solutions, or no solution. a. 2x 6y = 7 3x – 9y = 10 b. 4x — бу — 1 6x – 9y = 1.5 d. 3x – 2y = 1 бу %3D - %3D %3D C. y = 2 – x %3D -3 x +y 2 1 %3D y = x - 2 2 18. The vertices of a triangle are given by (0,0), (10,0), and (6,8). Show that the segments connecting (5,0) and (6,8), (10,0) and (3, 4), and (0,0) and (8,4) intersect a common point.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.3: Quadratic Functions
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I have a question for number 17

15. What do the graphs of the following equations under the
given conditions in each part of the problem have in commo
a. y = m(x – 3), for different real number values of m?
b. y = m(3
– x), for different real number values of m?
c. x – y = a, for different real number values of a?
6.
y =
m(x – 1) + 1, for different real number values
%3D
of m?
* 16. Suppose a car is traveling at a constant speed of 45 mph.
a. Draw a graph showing the relation between the distanc
traveled and the amount of time that it takes to travel tl
distance.
b. What is the slope of the line you drew in part (a)?
17. Solve each of the following systems, if possible. Indicate
whether the system has a unique solution, infinitely many
solutions, or no solution.
a. 2x 6y = 7
3x – 9y = 10
b. 4x — бу — 1
6x – 9y = 1.5
d. 3x – 2y = 1
бу
%3D
-
%3D
%3D
C. y = 2 – x
%3D
-3
x +y
2
1
%3D
y = x - 2
2
18. The vertices of a triangle are given by (0,0), (10,0), and
(6,8). Show that the segments connecting (5,0) and
(6,8), (10,0) and (3, 4), and (0,0) and (8,4) intersect a
common point.
Transcribed Image Text:15. What do the graphs of the following equations under the given conditions in each part of the problem have in commo a. y = m(x – 3), for different real number values of m? b. y = m(3 – x), for different real number values of m? c. x – y = a, for different real number values of a? 6. y = m(x – 1) + 1, for different real number values %3D of m? * 16. Suppose a car is traveling at a constant speed of 45 mph. a. Draw a graph showing the relation between the distanc traveled and the amount of time that it takes to travel tl distance. b. What is the slope of the line you drew in part (a)? 17. Solve each of the following systems, if possible. Indicate whether the system has a unique solution, infinitely many solutions, or no solution. a. 2x 6y = 7 3x – 9y = 10 b. 4x — бу — 1 6x – 9y = 1.5 d. 3x – 2y = 1 бу %3D - %3D %3D C. y = 2 – x %3D -3 x +y 2 1 %3D y = x - 2 2 18. The vertices of a triangle are given by (0,0), (10,0), and (6,8). Show that the segments connecting (5,0) and (6,8), (10,0) and (3, 4), and (0,0) and (8,4) intersect a common point.
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