answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natita [175]
2 years ago
5

Dakarai wrote the system of linear equations below. 7x+8y=28 and -3x+9y=-24 Dakarai then wrote the coefficient Matrix that repre

sented this system. Which Matrix could she have written?
7 8
-3 9

7 -3
8 9

7 8 28
-3 9 -24

7 -3 28
8 9 -24
Mathematics
1 answer:
DIA [1.3K]2 years ago
4 0

The system of linear equations a_1x+b_1y=c_1\\a_2x+b_2y=c_2

can be represented in the form of the Matrix as AX=B

Where A=\begin{pmatrix} a_1 &b_1 \\a_2   &b_2  \end{pmatrix}\\X=\begin{pmatrix} x\\y \\\end{pmatrix}\\ B=\begin{pmatrix} c_1\\c_2 \\\end{pmatrix}

The matrix A is called the coefficient matrix of the system of linear equations.

Here the given system of linear equation as:

7x+8y=28 \\ -3x+9y=-24

The matrix form of the given system of equation as

A=\begin{pmatrix} 7 &8 \\-3   &9  \end{pmatrix}\\B=\begin{pmatrix} 28\\-24 \\\end{pmatrix}\\X=\begin{pmatrix} x\\y \\\end{pmatrix}

The coefficient matrix of A is A=\begin{pmatrix} 7 &8 \\-3   &9  \end{pmatrix}

You might be interested in
The median number of cars sold by 11 sales representatives in a certain month is 6. The range of a number of cars sold by those
Luda [366]
It is given that the range of the number of cars sold is 4. Therefore if the fewest cars sold is 3, then the greatest number of cars sold will be 3 + 4 = 7.
The median number of cars sold is 6, so it is possible that the greatest number of cars sold is 7.
The statement is TRUE.
5 0
2 years ago
Read 2 more answers
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle
konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

6 0
2 years ago
My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter. How many
andre [41]

Answer:

Given that,

My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter.

Therefore, 1 whole sticks of butter is enough to make $100$ cupcakes.




8 0
2 years ago
Read 2 more answers
. Cara is playing a game. For each dart she can toss onto a board, she
Kaylis [27]
She will need 12 seconds because -20•12=-240
6 0
2 years ago
A sequence is defined recursively by the formula f(n+1)=-2f(n). The first term of the sequence is -1.5. What is the next term in
levacccp [35]
Given f(n+1) =-2f(n)
here f(n) =f(1) = -1.5
f(n+1) =f(2) = -2 * -1.5 = 3
9 0
2 years ago
Read 2 more answers
Other questions:
  • The number of hours a group of contestants spends preparing for a quiz show is listed below. What is the frequency table that re
    12·1 answer
  • Cos12sin78+cos78sin12
    14·1 answer
  • Find the perimeter of the figure if a = 1, b = 4, c = 6, d = 5. ​
    8·1 answer
  • Company A makes a large shipment to Company B. Company B can reject the shipment if they can conclude that the proportion of def
    6·1 answer
  • A frequency distribution lists the _________ of occurrences of each category of​ data, while a relative frequency distribution l
    12·1 answer
  • An arc on a circle measures 250°. Within which range is the radian measure of the central angle? 0 to StartFraction pi Over 2 En
    9·2 answers
  • The graph shows the location of Grant's, Hannah's, and Isobel's houses. Each unit on the graph represents 1 block. A coordinate
    13·1 answer
  • Which number line models the expression 1/8-(-3/4)
    12·1 answer
  • 4. An airplane is traveling at a speed of 724 km/hr at a direction of 30 degrees. The wind is blowing from the west at 32 km/hr.
    7·1 answer
  • Researchers are studying populations of two squirrels, the eastern gray and the western gray. For the eastern gray squirrel, abo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!