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
Bogdan [553]
3 years ago
7

What is the number of 20% of 40

Mathematics
1 answer:
mote1985 [20]3 years ago
3 0

Answer:

8

Step-by-step explanation:

40 x 0.20

= 8

You might be interested in
I need help please…thank youuu!!!
DochEvi [55]

Answer:

I will help ukshagaakavlabsbakakahsjskmdlslsbsbs skshsvs

4 0
3 years ago
What is the input value for which g(x) = -2?<br><br><br> x = ?
Zina [86]

g(x)=-2

Simplfy: y=-2

x=-9

*Look at where the points intersect

3 0
3 years ago
Consider the transpose of Your matrix A, that is, the matrix whose first column is the first row of A, the second column is the
Zarrin [17]

Answer:The system could have no solution or n number of solution where n is the number of unknown in the n linear equations.

Step-by-step explanation:

To determine if solution exist or not, you test the equation for consistency.

A system is said to be consistent if the rank of a matrix (say B ) is equal to the rank of the matrix formed by adding the constant terms(in this case the zeros) as a third column to the matrix B.

Consider the following scenarios:

(1) For example:Given the matrix A=\left[\begin{array}{ccc}1&2\\3&4\end{array}\right], to transpose A, exchange rows with columns i.e take first column as first row and second column as second row as follows:

Let A transpose be B.

∵B=\left[\begin{array}{ccc}1&3\\2&4\end{array}\right]

the system Bx=0 can be represented in matrix form as:

\left[\begin{array}{ccc}1&3\\2&4\end{array}\right]\left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right]=\left[\begin{array}{ccc}0\\0\end{array}\right] ................................eq(1)

Now, to determine the rank of B, we work the determinant of the maximum sub-square matrix of B. In this case, B is a 2 x 2 matrix, therefore, the maximum sub-square matrix of B is itself B. Hence,

|B|=(1*4)-(3*2)= 4-6 = -2 i.e, B is a non-singular matrix with rank of order (-2).

Again, adding the constant terms of equation 1(in this case zeros) as a third column to B, we have B_{0}:      

B_{0}=\left[\begin{array}{ccc}1&3&0\\4&2&0\end{array}\right]. The rank of B_{0} can be found by using the second column and third column pair as follows:

|B_{0}|=(3*0)-(0*2)=0 i.e, B_{0} is a singular matrix with rank of order 1.

Note: a matrix is singular if its determinant is = 0 and non-singular if it is \neq0.

Comparing the rank of both B and B_{0}, it is obvious that

Rank of B\neqRank of B_{0} since (-2)<1.

Therefore, we can conclude that equation(1) is <em>inconsistent and thus has no solution.     </em>

(2) If B=\left[\begin{array}{ccc}-4&5\\-8&10&\end{array}\right] is the transpose of matrix A=\left[\begin{array}{ccc}-4&-8\\5&10\end{array}\right], then

Then the equation Bx=0 is represented as:

\left[\begin{array}{ccc}-4&5\\-8&10&\end{array}\right]\left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right]=\left[\begin{array}{ccc}0\\0\end{array}\right]..................................eq(2)

|B|= (-4*10)-(5*(-8))= -40+40 = 0  i.e B has a rank of order 1.

B_{0}=\left[\begin{array}{ccc}-4&5&0\\-8&10&0\end{array}\right],

|B_{0}|=(5*0)-(0*10)=0-0=0   i.e B_{0} has a rank of order 1.

we can therefor conclude that since

rank B=rank B_{0}=1,  equation(2) is <em>consistent</em> and has 2 solutions for the 2 unknown (X_{1} and X_{2}).

<u>Summary:</u>

  • Given an equation Bx=0, transform the set of linear equations into matrix form as shown in equations(1 and 2).
  • Determine the rank of both the coefficients matrix B and B_{0} which is formed by adding a column with the constant elements of the equation to the coefficient matrix.
  • If the rank of both matrix is same, then the equation is consistent and there exists n number of solutions(n is based on the number of unknown) but if they are not equal, then the equation is not consistent and there is no number of solution.
5 0
3 years ago
1. Sally said that when you add or subtract positive or negative decimals, you can change the order of the decimals and still ge
Oduvanchick [21]

can you type the decimals in the comments
7 0
3 years ago
If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
alekssr [168]
{(3,0),(6,1),(9,2)} because
when you plug in the values you get 
3-3=3(0)   =     0=0 

6-3=3(1)    =     3=3

9-3=3(2)   =     6=6

5 0
2 years ago
Read 2 more answers
Other questions:
  • Kai calculates that he spends 15% of a school day in science class. If he spends 500 minutes in school what percent does he spen
    7·1 answer
  • The line plot shown shows the estimated weights of the alligators at Thompson Zoo. How many alligators weigh less than 450 pound
    5·1 answer
  • 21. Chandra is retiling her bathroom floor. Each tile is in the shape of a
    13·1 answer
  • Rhonda had a piece of ribbon that was 5 feet 3 inches long she removed a 5-inch piece to use in her art project what is the leng
    5·1 answer
  • A florist has 8 roses and 24daffodils. She wants to make as many identical bouquets as possible, with the same combination of ro
    14·1 answer
  • What is the lcm of 4 and 5
    5·1 answer
  • NO WRONY ANSWERS PLEASE
    8·1 answer
  • Write the expression 17 4/3 using radicals :)
    7·1 answer
  • This is a Doubt. Can someone tell me if it is right or wrong?
    10·1 answer
  • Samuel and Jason spent 3/4 of their combined earnings from 100 by gift. How much do they spend? Is there enough left over from W
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!