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
solong [7]
3 years ago
8

Which matrix equation can be used to solve the system? (2x+ 5y = 15 X + 3y = 18

Mathematics
2 answers:
Gnesinka [82]3 years ago
8 0

Answer:

option 3

Step-by-step explanation:

AX = B\\X = A^{-1}B\\\\A = \left[\begin{array}{CC}\\2&5\\1&3\end{array}\right]\\\\\\B =\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\X =\left[\begin{array}{C}\\x&y\end{array}\right]

det A = 1\\\\adj A = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]

A^{-1} = \frac{1}{det A} \times Adj A

      = 1 \times \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\\\\\\=  \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]

Therefore,

      X = A^{-1}B\\\\\\\left[\begin{array}{C}\\x&y\end{array}\right]  =  \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\

pychu [463]3 years ago
3 0

THE CORRECT OPTION IS A where the input data is correct

You might be interested in
Suppose that a poll finds that 31.9​% of taxpayers who filed their tax return electronically​ self-prepared their taxes. If thre
Aneli [31]

Answer: 0.0325

Step-by-step explanation:

Binomial probability distribution formula for x successes in n trials:-

P(X=x)=^nC_x\ p^x\ (1-p)^{n-x}, where n is the number of trials , p is the probability of success.

Given : The probability that taxpayers who filed their tax return are electronically​ self-prepared their taxes : p= 0.319

If three tax returns submitted electronically are randomly​ selected, then the probability that all three were​ self-prepared is given by :-

P(X=3)=^3C_3\ (0.319)^3\ (1-0.319)^{3-3}\\\\=(1) (0.319)^3(1)\\=0.032461759\approx0.0325

Hence, the probability that all three were​ self-prepared =0.0325

6 0
3 years ago
Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an
gogolik [260]

Answer: 1. 10

2. an = an - 1 + 7 where a1 = -10

Step-by-step explanation:

6 0
2 years ago
Solve each equation and check your solution <br> -3w-4=w+3
denpristay [2]

Answer:

\boxed  {w =  -  \frac{7}{4} }

Step-by-step explanation:

We want to solve the linear equation -3w-4=w+3

We group like terms to get

- 3w - w = 3 + 4

- 4w = 7

Divide both sides by -4

w =  -  \frac{7}{4}

Now let us check

- 3 \times  -  \frac{7}{4}  - 4 =  -  \frac{7}{4}  + 3

\frac{21}{4}  -  \frac{16}{4}  =  -  \frac{7}{4}  +  \frac{12}{4}

\frac{5}{4}  =  \frac{5}{4}

This is true

6 0
3 years ago
Each side of a cube is 3.1 cm long. Find the volume of the cube.
tensa zangetsu [6.8K]
D. 29.791cm^3 Volume= l×h×w 3.1×3.1= 9.61 9.61×3.1= 29.791
6 0
3 years ago
Use a grid to create a rectangle that has an area of 63 square units and a length of 9 units
Over [174]
It would be 9 x 7 units
4 0
4 years ago
Read 2 more answers
Other questions:
  • Simplfy the expression 2(p + 4)^2-3+5p​
    13·1 answer
  • What two numbers can be multiplied to be -6 and added to be -5
    13·2 answers
  • V/2+u/3=w solve for u​
    14·1 answer
  • How to write all real numbers less than -1 or greater than 1 as an inequality
    5·1 answer
  • Can someone help meh x= 1/2 and y= -5
    9·2 answers
  • What is the sum of 121/4+5 5/6 reduced to lowest terms thanks
    11·1 answer
  • Solve for the indicated information. solve for x.
    11·1 answer
  • Bret’s bill for dinner is $40.25 including tax. He leaves a 20% tip. How much tip does Bret leave in dollars and cents?
    10·1 answer
  • Danielle earns an 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salar
    15·1 answer
  • The zebra mussel, Dreissena polymorpha, filters particulate organic carbon (POC) from water
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!