1answer.
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
AysviL [449]
3 years ago
7

Determine the​ value(s) of h such that the matrix is the augmented matrix of a consistent linear system. [Start 2 By 3 Matrix 1s

t Row 1st Column negative 15 2nd Column 21 3rd Column h 2nd Row 1st Column 5 2nd Column negative 7 3rd Column negative 3 EndMatrix ]
Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer: h = 9

Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.

The matrix given is:

\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]

Transform this matrix in a row-echelon form:

\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]   R_{2} = 3R_{2}+R_{1} \left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]

For this row-echelon form to have solutions:

-9 + h = 0

h = 9

For this system to be consistent: h = 9.

You might be interested in
Maggie earns money from working at the pet store and answering phones. She earns $10 each hour she works at the pet store and $0
Maksim231197 [3]
I set Jon an equation and solved for number of hours

3 0
3 years ago
What single decimal multiplier would you use to increase by 18% followed by a<br> 12% decrease?
ValentinkaMS [17]

Answer:

The single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

Step-by-step explanation:

Let 'x' be the number

As first the number has to be increased by 18%

so

Step 1: write the percentage '18%' in decimal form

18% = 0.18    

Step 2: For percentage increases: add the decimal to 1

1 + 0.18 = 1.18    

Step 3: Multiply the number x by the multiplier, found in Step 2

x × 1.18 = 1.18x

<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>

Apply the same method but with a number 1.18x

  • Write the percentage '12%' in decimal form

12% = 0.12

  • For percentage decreases: subtract the decimal to 1

1 - 0.18 = 0.18

  • Multiply the number 1.18x by the multiplier, found in Previous step

1.18x × 0.18 = 0.21x

Therefore, the single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

7 0
3 years ago
What is the equation of a line that passes through the point (3, 11) and is parallel to the line y=2x-4
Law Incorporation [45]

Answer:

The answer should be y=2x+5

4 0
3 years ago
If Jeremy is feeding his Chihuahua 1/2 cup of dog food but uses 1/10 of a cup, how many scoops will he need to feed his dog?
agasfer [191]

Answer: 5

Step-by-step explanation:

The question is asking how many tenths are in one half. You need to divide one half by one tenth. To divide fractions you need to invert and multiply.

1/2 ÷ 1/10

Step 1: Invert and multiply

1/2 × 10/1 = 10/2

Step 2: Simplify

10/2 = 5

6 0
3 years ago
How many solutions does the equation have? 6x+4x-6=24+9x
babunello [35]
Combine like terms.
10x+6=24+9x

Put variables to one side and the constants to another.
x=-18

There is only one solution.

Hope this helps!
5 0
3 years ago
Other questions:
  • specific park is rectangular-shaped and has a 7-mile perimeter. The length is 4 times the width. What are the dimensions of the
    11·1 answer
  • Which of the following represents a geometric series (remember what a series is as opposed to a sequence)?
    5·1 answer
  • Can someone check questions?
    12·1 answer
  • Need the algebraic expression of 24 less than double x
    14·1 answer
  • What is the opposite of -3<br> -1<br> 0<br> -3<br> 3
    14·2 answers
  • 3\2+t=1\2 help solve for me please
    13·1 answer
  • I need help with this
    8·1 answer
  • Survey data involving two random samples of students at law school are shown. The surveys were taken comparing the age of studen
    11·1 answer
  • Towns P, Q and R are connected by roads PQ ,PR and QR. PR is 10km longer than PQ
    12·1 answer
  • Find the percent error of the measurement 9 cm .
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!