7. Find real numbers a, b, and c so that the graph of the function yax2+bx+c contains the points (-1,6), (2,7), and (0,1). Select the correct choice below and fill in any answer boxes within your choice. OA. The solution is a = integers or simplified fractions.) b= and c= . (Type B. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(a,b,c) a= ,c any real number). b= (Simplify your answers. Type expressions using c as the variable as needed.) OC. There are Infinitely many solutions. Using ordered triplets, they can be expressed as {(a,b,c) a= ,b any real number, c any real number). (Simplify your answer. Type an expression using b and c as the variables as needed.) D. There is no solution.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
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7.
Find real numbers a, b, and c so that the graph of the function y = ax2+bx+c contains the points (-1,6), (2,7), and (0,1).
Select the correct choice below and fill in any answer boxes within your choice.
OA. The solution is a =
integers or simplified fractions.)
OB. There are infinitely many solutions. Using ordered triplets, they can be expressed as
{(a,b,c) a=
b=
,c any real number}.
(Simplify your answers. Type expressions using c as the variable as needed.).
8. Complete the sentence below.
An m by n rectangular array of numbers is called a(n) CONSEL
OC. There are Infinitely many solutions. Using ordered triplets, they can be expressed as
{(a,b,c) a=
any real number, c any real number}.
(Simplify your answer. Type an expression using b and c as the variables as needed.)
OD. There is no solution.
An m by n rectangular array of numbers is called a(n) (1)
(1) O row index.
O entry.
Ocolumn index.
O matrix.
9. Complete the sentence below.
The notation a35 refers to the entry in the
b=
The notation 835 refers to the entry in the (1).
(2) fifth
O third
(1) ○ fifth
C
O third
O A.
7
6-1
1848
[:]
1
O C.
-
10. Which of the following matrices is in reduced row echelon form?
Select the augmented matrix below that is in reduced row echelon form.
O Search
row and
and c=
OB.
OD.
column of a matrix.
row and (2).
.(Type
10
9
01
[8]
[GB]
★ N
column of a matrix.
W
Transcribed Image Text:7. Find real numbers a, b, and c so that the graph of the function y = ax2+bx+c contains the points (-1,6), (2,7), and (0,1). Select the correct choice below and fill in any answer boxes within your choice. OA. The solution is a = integers or simplified fractions.) OB. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(a,b,c) a= b= ,c any real number}. (Simplify your answers. Type expressions using c as the variable as needed.). 8. Complete the sentence below. An m by n rectangular array of numbers is called a(n) CONSEL OC. There are Infinitely many solutions. Using ordered triplets, they can be expressed as {(a,b,c) a= any real number, c any real number}. (Simplify your answer. Type an expression using b and c as the variables as needed.) OD. There is no solution. An m by n rectangular array of numbers is called a(n) (1) (1) O row index. O entry. Ocolumn index. O matrix. 9. Complete the sentence below. The notation a35 refers to the entry in the b= The notation 835 refers to the entry in the (1). (2) fifth O third (1) ○ fifth C O third O A. 7 6-1 1848 [:] 1 O C. - 10. Which of the following matrices is in reduced row echelon form? Select the augmented matrix below that is in reduced row echelon form. O Search row and and c= OB. OD. column of a matrix. row and (2). .(Type 10 9 01 [8] [GB] ★ N column of a matrix. W
11. Determine whether the following statement is true or false.
The matrix
O True
O False
13
1 3-2
01
00 0
Choose the correct answer below.
5 is in row echelon form.
12. Write the augmented matrix of the glvon system of equations.
x-5y = 7
9x+3y = 5
The augmented matrix is
13. Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
x- y = 1
{
6x-7z - 18
6y + 5z = 12
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
D.
OB. There are infinitely many sclutions. The solution can be written as
{(xy.z) |x-[
.y=
z is any real number}.
(Simplify your answers. Typo expressions using z as the variable.)
OA. The solution is
M
(Simplify your answers.)
OC. There are infinitely many solutions. The solution can be written as
{(x,y,z)|x=
, y is any real number, z is any real number).
(Simplify your answer. Type an expression using y and z as the variables.)
OD. The system is inconsistent.
O Search
Transcribed Image Text:11. Determine whether the following statement is true or false. The matrix O True O False 13 1 3-2 01 00 0 Choose the correct answer below. 5 is in row echelon form. 12. Write the augmented matrix of the glvon system of equations. x-5y = 7 9x+3y = 5 The augmented matrix is 13. Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x- y = 1 { 6x-7z - 18 6y + 5z = 12 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. D. OB. There are infinitely many sclutions. The solution can be written as {(xy.z) |x-[ .y= z is any real number}. (Simplify your answers. Typo expressions using z as the variable.) OA. The solution is M (Simplify your answers.) OC. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= , y is any real number, z is any real number). (Simplify your answer. Type an expression using y and z as the variables.) OD. The system is inconsistent. O Search
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