Solve a One-Step Matrix Equation
Solve the matrix equation:
[X1
X2]
+
[-2
5]
=
[8
15]
X1 =?
X2 =?

Solve A One-Step Matrix EquationSolve The Matrix Equation:[X1X2]+[-25]=[815]X1 =?X2 =?

Answers

Answer 1

Answer: 10 , 10

Step-by-step explanation:

Answer 2

By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].

What is one-step matrix equation?

A matrix equation is an equation of the form Ax = b , where A is an m × n matrix, b is a vector in R m , and x is a vector whose coefficients x 1 , x 2 ,..., x n are unknown.

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

Given one-step matrix equation

[tex]\left[\begin{array}{c}x_{1} &x_{2} \end{array}\right]+\left[\begin{array}{c}-2 &5 \end{array}\right] =\left[\begin{array}{c}8 &15 \end{array}\right][/tex]

By adding the matrix the respective equations are:

[tex]x_{1} +(-2)=8[/tex].....(1)

[tex]x_{2} +(5)=15[/tex].....(2)

By solving [tex]x_{1} +(-2)=8[/tex]

⇒ [tex]x_{1} -2=8[/tex]

Add 2 on the both sides of the equation

⇒ [tex]x_{1}-2+2 =8+2[/tex]

⇒ [tex]x_{1} =8+2[/tex]

⇒ [tex]x_{1} =10[/tex]

Solving equation 2

[tex]x_{2} +(5)=15[/tex]

⇒ [tex]x_{2} +5=15[/tex]

Subtract 5 on both sides of the equation

⇒ [tex]x_{2} +5-5=15-5[/tex]

⇒ [tex]x_{2}=10[/tex]

By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].

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Related Questions

I need help asappp!!!

Answers

For number 1 it’s -2 in.a half Bc it’s infront of 2 but closer to it

14.
Find the sum of the expression: 87.75 – 7.25 =
A. 80.50
B. 79.25
C. 80.25
D. 80.80

Answers

Answer:

A

Step-by-step explanation:

87.75-7.25=80.50

Answer:

A. 80.50

Step-by-step explanation:

How much warmer is 82 than -40?

Answers

Answer:

-42 degrees

Step-by-step explanation:

-40-82=-42

convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32

Answers

Answer:

59

9/5(15)+32 =59

Step-by-step explanation:

Use the Distributive Property to write an equivalent expression. 20 + 24g A. 4 (5 + 6g) B. 20 (1 + 4g) C. 5 (4 + 6g)

Answers

Answer:

A.

Step-by-step explanation:

4(5+6g)

4*5+4*6g

20+24g

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

The given expression is 20+24g.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression can be simplified as follows:

20+24g

= 4(5+6g)

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

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The perimeter of a square is 52 cm.
Calculate the area of the square.

Answers

Answer:

A = 169cm²

Step-by-step explanation:

Answer:

A=169cm²

Or

A=26.2in²

or

A=0.18ft²

Step-by-step explanation:

The owner of an apartment building can rent all 50 apartments if she charges $600 per month, but she rents one fewer apartment for each $20 increase in monthly rent. Identify the maximum revenue for this function?

Answers

Answer:

30,000

Step-by-step explanation:

If she gets all 50 at 600 per month, 50x600 is 30,000.

I hope this helped!

If f(x) = 3x + 2, what is f(5)?

Answers

Answer:

The 5 in the () is what the x is

Step-by-step explanation:

3(5)+2=17

Answer:

Step-by-step explanation:

Replace the X with 5

3(5)+2

Follow PEMDAS

so multiplication goes first

15+2

Then add

17

70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there​

Answers

Answer:

21 moats

Step-by-step explanation:

.70 x 30 = 21

21 moats because you change the percentage to a decimal and multiply by the whole number so it would be .70 times 30 wich equals 21 moats

Help plz that would be great

Answers

Answer:

-8

Step-by-step explanation:

I got 8 from my calculations so im sure thats the anwser

In 2011, Japan experienced an intense earthquake with a magnitude of 9.1 on the Richter scale. In 2003, Japan experienced another intense earthquake that measured 8.3 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.

Answers

Answer:

The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.

Step-by-step explanation:

To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.

Convert the magnitudes to intensities and write them in exponential form.

R=logI

2011 earthquake:

9.1I=logI=109.1

2003 earthquake:

8.3I=logI=108.3

Form a ratio of the intensities.

intensity for 2011intensity for 2003

Substitute in the values and divide by subtracting the exponents to find

109.1108.3100.8≈6.

The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.

Your answer:

The intensity of the 2011 earthquake was about 15 times the intensity of the 2003 earthquake.

The intensities of the two earthquakes will be 6.3095.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

In 2011, Japan encountered a serious quake with an extent of 9.1 on the Richter scale. In 2003, Japan encountered another extraordinary seismic tremor that deliberate 8.3 on the Richter scale.

The intensity of the earthquake is given as,

㏒ (I₁ / I₂) = M₁ - M₂

㏒ (I₁ / I₂) = 9.1 - 8.3

Simplify the equation, then we have

㏒ (I₁ / I₂) = 9.1 - 8.3

㏒ (I₁ / I₂) = 0.8

Take anti log, then we have

(I₁ / I₂) = 6.3095

The intensities of the two earthquakes will be 6.3095.

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The amount of money in Mark's bank account after x months is given by the function
f(x) = 1000 - 200x. Select all the true statements.
Pick up to 2 answers.
A. The account began with $1000.
B. The account began with $200.
C. Mark withdraws $1000 each month.
D. Mark withdraws $200 each month.
E. Mark deposits $200 each month.

Answers

Y=mx+b
Mx is the rate of change
B is your starting point
Started with 1000, A
-200 is the rate of change, D

can someone please help me with this question??

Answers

Answer:

2nd one

Step-by-step explanation:

-25+t/z greater these or =to 50

Answers

Answer:

=to 50

Step-by-step explanation:

GIVING BRAINLIEST PLEASE HELP!!!!!!!!!!!!!!!! Calculate the correlation coefficient of the following data: (1,1) (2,3) (3,6) (4,2) (7,9) (8,6) (10,7)

Answers

Answer:

The value of R is 0.7482.

Step-by-step explanation:

X Values

∑ = 35

Mean = 5

∑(X - Mx)2 = SSx = 68

Y Values

∑ = 34

Mean = 4.857

∑(Y - My)2 = SSy = 50.857

X and Y Combined

N = 7

∑(X - Mx)(Y - My) = 44

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 44 / √((68)(50.857)) = 0.7482

r = 0.7482

Sorry if I get this wrong Because not for sure how you need the awnsers I dont know if this is the right way

Mx: 5.000

My: 4.857

Sum: 68.000

Sum: 50.857

sum: 44.000

X Values

∑ = 35

Mean = 5

∑(X - Mx)2 = SSx = 68

Y Values

∑ = 34

Mean = 4.857

∑(Y - My)2 = SSy = 50.857

X and Y Combined

N = 7

∑(X - Mx)(Y - My) = 44

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 44 / √((68)(50.857)) = 0.7482

Meta Numerics (cross-check)

r = 0.7482

A barrel of 20 apples has 2 rotten apples and 18 good apples. 7 apples are selected at random from the barrel. What is the expected number of good apples selected

Answers

Answer:

Expected value = 7 x 0.9 = 6.3

Step-by-step explanation:

Probability of getting a good apple is 18/20 = 0.9

Probability of getting a bad apple is 2/20 = 0.1

This follows a binomial distribution because either you get a good apple or a bad apple.

The expected value of a binomial distribution is given as n*p where n is number of trials and p is the probability of success.

In this case our number of trials is 7 and the probability of success is 0.9, since the trials are for getting good apples.

Hence

n = 7

p = 0.9

Expected value = 7 x 0.9 = 6.3

PLEASEEEEE HELP ME IF YOU GET THIS QUESTION!!

Answers

Answer:

one and a quarter mile

please can i have brainliest

find the slope please help!

Answers

Answer:

-3/4

Step-by-step explanation:

Get the coordinates of the two points and use the slope formula to find the slope.

We'll call the points point A and point B.

Point A's coordinates are (-3,1) and point B's coordinates are (1,-2)

Now, plug the numbers into the slope formula

Slope formula is: y2-y1/x2-x1

-2-1/1--3

-3/4

Let v(t) = 1/π + sin(3t) represent the velocity of an object moving on a line. On the interval [π/2, π], what is the velocity when the acceleration is 3?

Answers

Answer:

[tex]\displaystyle \frac{1}{\pi}\approx0.318[/tex]

Step-by-step explanation:

The velocity of an object moving on a line is given by the function:

[tex]\displaystyle v(t)=\frac{1}{\pi}+\sin(3t),\; \frac{\pi}{2}\leq x\leq\pi[/tex]

And we want to determine the velocity of the object when its acceleration is 3.

So, we will need to determine our acceleration function. Remember that acceleration is simply the derivative of speed. Therefore, our acceleration function a(t) will be:

[tex]\displaystyle a(t)=v^\prime(t)=\frac{d}{dt}[\frac{1}{\pi}+\sin(3t)][/tex]

Differentiate. We will use the chain rule on the second part. Hence, our acceleration function is:

[tex]\displaystyle a(t)=3\cos(3t)[/tex]

We want to find the velocity when the acceleration is 3.

So, let’s set a(t) equal to 3 and determine at what time t our function equals 3. Hence:

[tex]3=3\cos(3t)[/tex]

Divide both sides by 3:

[tex]\cos(3t)=1[/tex]

Take the inverse cosine of both sides.

Remember that cosine is 1 for every 2π. Hence:

[tex]3t=2\pi n[/tex]

Where n is an integer.

Divide both sides by 3. Therefore, our solutions are:

[tex]\displaystyle t=\frac{2\pi n}{3}[/tex]

However, our domain was π/2≤x≤π.

Hence, we can test values of n such that it is within our domain.

Testing for n=0, 1, and 2, we see that:

[tex]\displaystyle t=0, \, t=\frac{2\pi}{3},\, t=\frac{4\pi}{3}...[/tex]

However, the only solution that is within our domain is the second solution.

Hence, the acceleration is 3 when the t is 2π/3.

Therefore, our velocity at that time t is:

[tex]\begin{aligned}\displaystyle v(\frac{2\pi}{3})&=\frac{1}{\pi}+\sin(3(\frac{2\pi}{3}))\\ &=\frac{1}{\pi}+\sin(2\pi)\\&=\frac{1}{\pi}+0\\&=\frac{1}{\pi}\approx 0.318\end{aligned}[/tex]

Find the area of the trapezoid below.
4 cm
3 cm
8 cm

Answers

Answer:

4 + 8 / 2 * 3 = 18

4 + 8 = 12

12 / 2 = 6

6 * 3 = 18

Step-by-step explanation:

*Hope this helps*

Please answer asap. thank you
A car drives 10 m/s. How long will it take the bus to drive 70 meters?

Answers

Answer:

7 Seconds

Step-by-step explanation:

Bruhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

It will take 7 seconds

Step-by-step explanation:

The answer is 7 because 10 multiplied by 7 is 70.

Use numerals instead of words.

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left.

If there were 75 cards in all, how many cards are left to be signed?

There are
cards yet to be signed.

Answers

Answer:

25 because is the steep between card

Answer:

32

I hope this helps

I don’t get this please help me

Answers

Answer: Brand B is

Explanation
(Brand A)24 diapers is 0.29¢ per diaper
(Brand B) 50 diapers is 0.27¢ per diaper

True or False
1. We find the x-intercepts of a function fby evaluating f(0).

2. The solutions of a function are the first coordinates of the
x-intercepts of the function.

3. We can use completing the square to solve any quadratic equation.

4. The function f(x)=-3(x+4)2-5 has a maximum value.

Answers

1. True
2. True
3. True
4. True

The measurement of the complement of an angle is 40° more than the angle. What is the supplement for the angle?

Answers

The measure of the supplement is 140
I think it’s 140 correct me if I’m wrong

I need help, please
it is do tomorrow

Answers

Answer:

21 millimeters

Step-by-step explanation:

ummmm yes

5) Tyra went to the movies and bought a coke for $1.25, popcorn for $4.25 and peanut butter M&Ms for $3. How much did Tyra spend in I​

Answers

Tyra spent $8.5 i think

A poll asked 325 people whether they would support a certain amendment to the state constitution. 58% of people said they would.

Write a 95% confidence statement.

Answers

188 people said they would and 136 people said they wouldn’t.

Is there anyone here who does Calvert or Odessy?

I was quite behind on my assignments, and, somehow, I go to catch up and they've been completed or something. It says I'm 100% on pace, and I know for a fact that I wasn't. What happened?

Answers

what happen is there is a glitch probably

yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.

Help me please *an image is attached*

Answers

Answer:

the height it is at is 95 meters

the answer is y=mx+b so plug in 37 and 12
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