Solve the equation:
[3 2
5 5]

[x1
x2]+
[1
2]=
[2
-3]

Answers

Answer 1

9514 1404 393

Answer:

  (x1, x2) = (3, -4)

Step-by-step explanation:

As with any 2-step linear equation, subtract the constant, then multiply by the inverse of the coefficient of the variable.

  [tex]\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}1\\2\end{array}\right]=\left[\begin{array}{c}2\\-3\end{array}\right]\\\\\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}1\\-5\end{array}\right]\\\\\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{5}\left[\begin{array}{cc}5&-2\\-5&3\end{array}\right]\left[\begin{array}{c}1\\-5\end{array}\right][/tex]

Performing the multiplication of the matrix by the vector gives the solution.

  x = ((5)(1) +(-2)(-5))/5 = 15/5 = 3

  y = ((-5)(1) +(3)(-5))/5 = -20/5 = -4

Using your variables, x1, x2, the solution is ...

  (x1, x2) = (3, -4)


Related Questions

Advanced Calculation Question:
Your patient weighs 150 kg. The ordered dose is 3 mEq/kg/hour to be given over 1 hour. The available
the medication is 1 mEq/mL. Over a one hour period _mL will be administered.

Answers

Your answer: 450mL will be administered

150 kg, and 3mEq for each kg every hour. We can ignore the hour part, since it’s only 1 hour they’re looking for.

3mEq for each kg means 3 x 150 = 450 mEq total.

Since the concentration is 1mEq/1mL, we need 450mL.

Does that all make sense? Let me know if you have any questions.

A cube or cuboid has _______ sides .​

Answers

Answer:

6 sides

Step-by-step explanation:

4. What type of sequence is this? *
6.6, 7.2, 7.8, 8.4, 9, ...
lArthimetic
Geometric
Neither

Answers

Answer:

Arithmetic

Step-by-step explanation:

We are given the sequence :

6.6, 7.2, 7.8, 8.4, 9, ...

We need to determine whether it is arithmetic, geometric, or neither.

Arithmetic sequences are a bunch of numbers that gradually increase or decrease through equal amounts of adding or subtracting.

Geometric are the same thing but the numbers are gradually increasing or decreasing through multiplication or dividing.

Looking at the sequence, we notice that 0.6 is added into every single number to reach the one next to it.

It fits the description of an arithmetic sequence, therefore the sequence is arithmetic.

Arithmetic hhhhhffrtujbvc

5.23 - 22x2 – 177 + 17
T5​

Answers

Answer:

-198.77

Step-by-step explanation:

don't know what the t5 mean though here is your answer not including the T5

Can someone please help me I will mark u brilliant

Answers

Answer:

The volume is : 63

Step-by-step explanation:

Volume = Length x width x height

The volume for this rectangular prism is : 8 x 2 1/4 x 3 1/2 which equals 63

Answer:

C, 63 cm cubed

Step-by-step explanation:

To the the volume of a rectangular prism you do this equation: l x w x h = v

fill in the measurements:

8 x 2.25 x 3.5 = 63

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels 21 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

the probability is 18/67

Answer:

19/67

Step-by-step explanation:

I think this would be the answer. You add up 17,10,19, and 21, and then use the PROBABILITY of drawing the nickels which would be 19/67, im not sure tho, let me know if it works

Which is the graph of the inequality? 3y−9x≥9

Answers

Answer:

Which is the graph of the inequality? 3y−9x≥9

Step-by-step explanation:

Which is the graph of the inequality? 3y−9x≥9

someone help me answer this

Answers

Answer:

c = 53 yd is the answer.

Step-by-step explanation:

a = 45 yd

b = 28 yd

c = ?

According to the Pythagorean Theorem,

a² + b² = c²

45² + 28² = c²

2025 + 784 = c²

c² = 2809

c = 53 yd

∴ The dog runs 53 yd

The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

Step-by-step explanation:

Let the null and alternate hypothesis be

H0:  u ≤ 9.75   against the claim Ha: u > 9.75

Here

Population mean= u= 9.75

Standard deviation= 0.27 ounces

Sample mean= x`= 9.85

Significance level [tex]\alpha[/tex]= 0.05

Using z- test

z= x`-u/s/√n

z= 9.85-9.75/0.27/√25

z= 0.1/5.4

z= 0.0185

The critical region for 1 tailed test at 0.05= z > ±1.645

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

PLEASE ANSWER ILL GIVE BRAINLY

Answers

Answer:

Step-by-step explanation:

A


What is the answer no links please

Answers

9514 1404 393

Answer:

  B  550 tickets

Step-by-step explanation:

50% of 1100 tickets were sold the first two days.

  0.50 × 1100 = 550

550 tickets were sold the first two days.

Answer:

B. 550 Tickets

Step-by-step explanation:

#CarryOnLearning

How could you design an experiment to support the claim that people who watch television for at least 2 hours every night have lower energy in the evening than people who do not watch as much television Include any factors or steps that should be considered .​

Answers

Step-by-step explanation:

Several ways in which television can disrupt or alter sleep patterns:

The blue light emitted by screens can interfere with your brain’s production of melatonin at night, making it harder for you to fall asleep. Exciting or disturbing content can switch your mind into high gear, making it harder to wind down, and harder to sleep deeply. The timing of television viewing may push back bedtime and contribute to sleep disturbances -- including sleep-related anxieties and difficulty falling asleep. Having a television in the bedroom can undermine your ability to sleep well. Extended viewing may lead to sleep loss, poor quality sleep, and daytime tiredness.

People who don't watch Television won't have these problems.

Tiffany has a 30% chance of winning a game. She uses random numbers to simulate a series of 7 games. In her simulation, the numbers 0–2 represent a win, and the numbers 3–9 represent a loss. Select all the trials whose results show 3 wins in 7 games played. A. 8531905 B. 4963184 C. 7269108 D. 0689271 E. 7042351 F. 9094562​

Answers

Answer:

C. 7269108

D. 0689271

E. 7042351

Step-by-step explanation: If the number is 0,1 or 2, it is a win.  Otherwise, it is a loss.  Each number is a match.

What is 1/2 + 2/3?, what is 2/3 multiplied by 3/4?

Answers

Answer:

Hi! The answer to your question is 1. [tex]7/6[/tex] and 2. [tex]1/2[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Solve for x.
-7/8x=-5
Ox= 4 3/8
Ox=-4 3/8
Ox=5 5/7

Help please

Answers

Answer: [tex]x=5\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]-\frac{7}{8} x=-5[/tex]

multiply both sides by [tex]-\frac{8}{7}[/tex]

[tex](-\frac{8}{7})( -\frac{7}{8}) x=-5(-\frac{8}{7} )\\x=\frac{40}{7\\}\\x=5\frac{5}{7}[/tex]

6. Find the distance between the points (-2,-3) and (-4,4).

Answers

Answer:

Step-by-step explanation:

Sonya measured her pet mouse from the tip of its nose to the tip of its tail. Her mouse is fourteen hundredths of a meter long. Which of the following expresses this length as a decimal? A 0.014 0.14 C1.4 14.00​

Answers

Answer:

A 0.014

Hope this helps!!!!

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

x = (90° - 16°)/4

x = 18.5°

someone anwser this please​

Answers

486/6 = 81
Square root 81 = one side length = 9m volume = 9^3 = 729

Cancel
Done
LESSON 6 SESSION 1
Rectangular paintings hang on the wall of an art gallery.
One painting has an area of 24 ft. Another painting has an
area of 32 ft. The paintings have whole-number side lengths
and have one pair of side lengths in common.
a. What could the common side length be? Show your work.
C
SOLUTION
b. Check your answer to problem 3a. Show your work

Answers

Step-by-step explanation:

I don't really understand. Comment the question without "lesson/session/cancel/done" bc it's ALL confusing

The common side length of the rectangular paintings on the wall that having area of 24ft and 32ft  is 8 feet.

How to find side length ?

There are numerous methods for calculating the length of a rectangle. If you have an area A and a width w, the length w is calculated as h = A/w. If you know the perimeter P and the width w, you can calculate the length h = P/2w.

The area of any quadrilateral can be calculated by multiplying its base length by its height. We know that all sides are equal length because the shape is square. Working backwards, we can find the length of one side by taking the square root of the area.

The given parameters are

Area of painting 1 = 24 square feet

Area of painting 2 = 32 square feet

Express the areas as the product of their factors

So, we have

24 = 2 * 2 * 2 * 3

32 = 2 * 2 * 2 * 4

Multiply the common factors

Common factors =2 * 2 * 2

Evaluate the product

Common factors = 8

This represents the common side length

Hence, the common side length of the paintings is 8 feet

To learn more about Side length refer :

https://brainly.com/question/24487155

#SPJ2

AC || BD||AB||CD and AC | CD

Answers

Answer:

Ac

i dont know i need points

so hope it helps

Trey measured the mass of some pebbles what is

Answers

I think it will be 5 because as soon as you past 4 it goes to half, so you count all the dots in the area because it is a dot plot and that is how you get 5. Hope this helps! Mark brainly please!

Please help very urgent

Answers

Answer:

all sides are equal so the x is 50.1 degree and nearest 100 will be 100

please mark me as brainliest

Solve each system by eliminating one of the variables by addition or
subtraction.

Answers

Answer:

(=^w^=) hope this helps

Step-by-step explanation:

1. (10,2)

2. (2,0)

3. (6,2)

4. (0.5,7.5)

5. (3.3, 0.36)

6. (3.5, 2.5)


10. Type in the correct Inequality

Answers

Answer:

x > 8

Step-by-step explanation:

The open circle means that 8 is not included in the solution.

All values greater than 8 are included.

Answer: x > 8

Which of the following best describes ABC – DEF?

A. ABC is a dilation of DEF.
B. ABC is similar to DEF.
C. ABC is a reflection of DEF.
D. ABC is congruent to DEF

Please help I will give brainliest.

Answers

A. ABC is a dilation of DEF
Hope it helps!

Answer:

A. ABC is a dialtion of DEF

Simplify:


8x4 - 3x - 7 = [?]


x=1



AND FOR GOD SAKE NO BOTS NO PEOPLE WANTING POINTS AND NO TROLLS!!!

Answers

The answer is 4 just substitute

Answer:

[tex]8( - 1) {}^{4} - 3( - 1) - 7 = ( - 8) {}^{4} + 3 - 7 = - 4096 + 3 - 7 = - 4100[/tex]

-4100

what is the volume of the pyramid shown below? 6 11 11
A. 363 cu. units
B. 396 cu. units
C. 726 cu. units
D. 242 cu. units​

Answers

The answer is C I had that same test question

What is the solution to the system of equations?
y = 1/3x-10
2x + y = 4

Answers

Answer: x = 6, y = -8

Answer:

y=-8, x=6

Step-by-step explanation:

Hope this helped!!!

A coin is flipped 50 times and lands on heads 28 times. What is the theoretical probability that the coin will land on heads on the next flip?
A) 32%
B) 50%
C) 56%
D) 64%

Answers

C, because half of 50 is 25 therefore since it has landed on the head 28 which is a little bit more means the answer is gonna be a little more than 50%
Other Questions
what type of poem is ''Jabberwocky'' Why did the destruction of the animals have the opposite effect of what was intended? the great plague The ______ system helps us to break down our food. A. digestiveB. muscularC. circulatory Here are the prices (in thousands) for 10 houses for sale in a local neighborhood: 285,288,289,290,299,300,308,309,312,314 . Which measure should be used to summarize the data 5. In "From Emperor to Citizen," which of the following word pairs best describes P'u Yi's shiftin attitude toward Pu Chieh after they finish playing hide-and-seek?A from playful to solemnB from friendly to incensedC from brotherly to indifferentD from lighthearted to disapproving Which of the following is NOT a unit of volume?quartcubic inchsquare inchliter Edwin Hubble was an American astronomer who played a crucial role in collecting evidence to support the theory that the universe is constantly expanding outward and is not simply static. He used light from distance stars to calculate their movement. Meanwhile, around this same period of time, a Russian physicist by the name of Mikhail Lomonosov worked tirelessly in his lab studying different chemical reactions. Lomonosov would later help in developing the Law of Mass Conservation which states that during a chemical reaction the total mass of the substances before the reaction is equal to the total mass after the chemical reaction. How are the methods used in the pursuit of a scientific explanation different between Edwin Hubble and Mikhail Lomonosov?A) Edwin Hubble carefully identified and manipulated variables to answer questions; Mikhail Lomonosov made observations about the natural world.B) Edwin Hubble made observations about what he studied; Mikhail Lomonosov did notC) Edwin Hubble and Mikhail Lomonosov both used scientific equipment and collected evidenceD) Edwin Hubble made observations about the natural world; Mikhail Lomonosov carefully identified and manipulated variables to answer questions. Using the line AB, name two line segments. 1. AB, CB 2. AB, C 3. CB, B 4. A, B Hurry Please help me Due 12:00 Pm thanks Which statement correctly completes this timeline?A The president ordered the Public Health Service to deal with environmental pollutionB The Centers fro Disease Control petitioned Congress to eliminate treatment plantsC The federal government created the Environmental Protection Agency to oversee environmental issuesD The automobile industry began researching alternative energy resources If you change the sign of a point's x-coordinate, how does the location of the point change? CLEAR CHECK The point moves down and to the left. The point crosses over the x-axis. The point crosses over the y-axis. Not enough information is provided. find the value of x and y in the parallelogram Please do correctly! I will mark you Brainliest! If a tennis ball has a diameter of 14.6, and is cut in half. What is the volume of the half of the tennis ball? Use 3.14 for pi. Choose three characteristics of enhancers and silencers. Select the three correct statements. Select the three correct statements. Their orientation may be inverted without significant effect. They can act only at a little distance from the promoter. An enhancer can regulate many different genes, while a silencer regulates only one gene or group of closely related genes. They can regulate only one gene or group of closely related genes. They can act at a great distance from the promoter. They can regulate other genes when inserted. They can only act if they are placed downstream from the promoter. Should a Firefighter act the same on and off duty? pls help! you don't have to do all of them (but if you can pls help me on all) You pay $22 for a pair of shorts after a 15% discount. What is the original price of the shorts? Round to nearest cent. There are 60 students in the gym, and there are an equal number of students in each class. If five classes are gym how many students are in each class need help, someone !!!!!!! 4. Marcy plans to save $3 in January, 54 in February, S6 in March, and $9 in April. If she continues this pattern, how much money will she save in December?