1. write the slope-intercept forms of the equations of the lines through the given point (a) paralel to the given line and (b) perpendicular to the given line. Point Line 69. (2, 1) 4x- 2y - 3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 21PPS
Question
Part A (Subject: Prealgebra, Algebra1,2, Precalculus and Geometry)
1.
write the siope-intercept forms of the equations of the lines through the given point (a) parallel to the given
line and (b) perpendicular to the given line.
Point
Line
69. (2, 1)
4x-2y-3
2.
Solve the following inear programing problems graphically:
Minimise Z 3a+5y
Subjoct to the constraints :
2+ 2y 2 3.
20, 2 0.
3. Find a least degree polynomal function with real coefficients that has the given zeros.(The leading
coeffident should be 1)
1.1-21.1-V5
4. determine the possible numbers of positive and negative zeros of the function.
f(e) - 4x - 3x + 2r 1
1+31
5. Evaluate
1-4i
6. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for
each of the situations described below.
a The account pays 3% annual interest compounded monthly.
b. The account pays 4% annual interest compounded continuousty.
7. Solve the equation.
log:(x+2) – log:(x+4) = log:(x- 3)
8. Find x.
Transcribed Image Text:Part A (Subject: Prealgebra, Algebra1,2, Precalculus and Geometry) 1. write the siope-intercept forms of the equations of the lines through the given point (a) parallel to the given line and (b) perpendicular to the given line. Point Line 69. (2, 1) 4x-2y-3 2. Solve the following inear programing problems graphically: Minimise Z 3a+5y Subjoct to the constraints : 2+ 2y 2 3. 20, 2 0. 3. Find a least degree polynomal function with real coefficients that has the given zeros.(The leading coeffident should be 1) 1.1-21.1-V5 4. determine the possible numbers of positive and negative zeros of the function. f(e) - 4x - 3x + 2r 1 1+31 5. Evaluate 1-4i 6. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations described below. a The account pays 3% annual interest compounded monthly. b. The account pays 4% annual interest compounded continuousty. 7. Solve the equation. log:(x+2) – log:(x+4) = log:(x- 3) 8. Find x.
16
By
E 3
9. The three midpoints are given as shown below.
A (1. )
D(-7, 6),
F(2.-2)
G(x, y)
B
E
(3. 2)
(8, 5)
(X, y)
a. Find the coordinates of the image of three midpoints after a reflection over the y-
axis
b. Find the coordinates of the image of three midpoints after a reflection over the x-
axis
C. Find the coordinates of the image of three midpoints after a reflection over the
origin
d. Find the coordinates of the centroid of the triangle.
10. Each face of a cube is painted either red or blue, each with probability 12. The color of each fice is detemined
independeutly. What is the probability that the painted cube can be placed on a horizontal surface so that the four
vertical faces are all the same color?
Transcribed Image Text:16 By E 3 9. The three midpoints are given as shown below. A (1. ) D(-7, 6), F(2.-2) G(x, y) B E (3. 2) (8, 5) (X, y) a. Find the coordinates of the image of three midpoints after a reflection over the y- axis b. Find the coordinates of the image of three midpoints after a reflection over the x- axis C. Find the coordinates of the image of three midpoints after a reflection over the origin d. Find the coordinates of the centroid of the triangle. 10. Each face of a cube is painted either red or blue, each with probability 12. The color of each fice is detemined independeutly. What is the probability that the painted cube can be placed on a horizontal surface so that the four vertical faces are all the same color?
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