Solve the system of linear equations using the matrix method.


What do X and Y equal?

Solve The System Of Linear Equations Using The Matrix Method.What Do X And Y Equal?

Answers

Answer 1
Algebra - Basic Definitions

A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y. A number on its own is called a Constant.
Answer 2

Answer:

The matrix method is basically making the matrix in the picture equal to

{1   0 = x}

{0   1 = y}

To do this you must multiply reciprocals and add opposites to make 2x = 1, 7y = 0, 3x = 0, and -12y = 1.

I used the simple way of solving linear equations:

3(2x + 7y = 48)

-2(3x - 12y = 27)

6x + 21y = 144

-6x + 24y = -42

       45y/45 = 102/45

y = 34/15 or 2.26667

Plug in y-value to get x-value:

2x + 7(34/15) = 48

     - 7(34/15)     -7(34/15)

2x = 482/15

2x/2 = 482/15/2

x = 241/15 or 16.06667


Related Questions

is the following table Proportional or Non proportional?

HELP PLS:(

Answers

Answer: proportional

Step-by-step explanation: I took the test and looked it up on 3 different websites like duh

Please help don’t give link if your right you get brainliest

Answers

it rotates and it’s dilation so it should be C

Answer:

rotation, dilation

Step-by-step explanation:

On the question it shows how it is supposed to be ordered, triangle LMN is similar to triangle PQR which means LM and PQ are similar sides and MN and QR are similar, etc.

it is rotation because the P is facing the left side while L is facing upward.

it is dilation because triangle PQR shrunk into a smaller triangle.

Please help easy
A) 30/40
B)22/40
C)18/40
D)10/40

Answers

Answer:

D

Step-by-step explanation:

The answer is D MARK ME BRAINLY

Khalil's birthday party costs $11, plus an additional $9 for each guest he invites. Is the total cost directly proportional to the number of guests?​

Answers

Answer:

20, yes

Step-by-step explanation:

11+9=20

If he is charged $9 for each guest then it will make a huge impact to the number of guests.

write as the opposite of a square root: -2 times square root of 3

Answers

the answer would be -144

you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144

We take a sample of 80 observations from a large population with a mean of 1460 and a standard deviation of 270. The probability that the sample mean is between 1300 and 1400 is:

Answers

The probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

We can use the Central Limit Theorem and the standard normal distribution to calculate the probability that the sample mean is between 1300 and 1400. The Central Limit Theorem states that as the sample size increases, the distribution of the sample means will approach a normal distribution, regardless of the distribution of the population.

Since we have a sample of 80 observations, we can assume that the sample mean follows a normal distribution with a mean of 1460 (the population mean) and a standard deviation of:

Standard deviation of the sample mean

= population standard deviation ÷ [tex]\sqrt {sample size[/tex]

[tex]= 270 \div \sqrt{80} = 27[/tex]

So the standard deviation of the sample mean is 27.

We can now standardize the interval between 1300 and 1400 by subtracting the mean and dividing it by the standard deviation of the sample mean.

[tex]Z_1[/tex] = (1300 - 1460) / 27 = -2.59

[tex]Z_2[/tex] = (1400 - 1460) / 27 = -2.22

We need to find the area under the standard normal distribution curve between Z1 and Z2.

Using a standard normal table or a calculator with the standard normal distribution function, we can find the probability that a random variable from the standard normal distribution is between -2.59 and -2.22. This probability is approximately 0.0134 or 1.34%.

Therefore, the probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

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In a closed system, an object with a mass of 1.5 kg collides with a second object. The two objects then move together at a velocity of 50 m/s. The total momentum of the system is 250 kg⋅m/s. What is the mass of the second object?

Answers

The mass of the second object will be 3.5 kg.

What is momentum?

In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has both a magnitude and a direction, making it a vector quantity.

According to the collision theory, for a chemical reaction to take place, the reacting particles must come into contact with one another. The frequency of collisions affects the reaction's rate. According to the idea, responding particles frequently encounter without reacting.

The final momentum will be calculated by the expression given below,

(m₁ + m₂ ) V=250

( 1.5 + m₂ 0 x 50 = 250

1.5 + m₂ = 5

m₂ = 5 - 1.5

m₂ = 3.5 kg

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Are 3 4 5 triangles always right?

Answers

No, three 4 5 triangles are not always right triangles.

A right triangle is a triangle in which one of the angles is a right angle (90°). Therefore, in order to be a right triangle, the following criteria must be met: a^2 + b^2 = c^2, where c is the longest side and a, b are the other two sides. In a 3 4 5 triangle, the longest side is 5, so a^2 + b^2 = c^2 becomes 3^2 + 4^2 = 5^2. Using simple algebra, this equation becomes 9 + 16 = 25, which is true. Therefore, a 3 4 5 triangle is a right triangle. However, if one of the sides is different, for example a 3 4 6 triangle, the equation becomes 9 + 16 = 36, which is not true. Therefore, a 3 4 6 triangle is not a right triangle. To summarize,3 4 5 triangles are right triangles, but three 4 6 triangles are not.

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Given: (↔AB) ║ (↔CD)
If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of (↔AB) is (?) . If the coordinates of point D are (5 , 5), the equation of line (↔CD) is y =(?) x +(?).

can someone please help me figure out what the (?) is.

Answers

1) m = y2 - y1/x2 - x1
y = mx + b
m = 7 - 0/3 - 8
y = -7/5x + 11.2
2) y= -7/5x + 12
(the slope or m stays the same because the two equations are parallel)

Answer:

1. 56/5

2. -7/5

3. 12

Step-by-step explanation:

A scuba diver is at a depth of -14 ft. Her
elevation changes -2 ft per second. How many
seconds will it take her to reach a depth of
79ft? Write and solve an equation.

Answers

On solving the provided question, we can say that - by the help of unitary method seconds will it take her to reach a depth of 79ft is = 39.5

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

scuba diver is at a depth of  = -14 ft

elevation changes  = -2 ft per second.

seconds will it take her to reach a depth of 79ft is = 39.5

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help meh...............

Answers

Answer:

Angles 6, 4, and 2 are congruent to angle 8.

Step-by-step explanation:

By the Opposite Angles Theorem, angle 6 is congruent to angle 8.

By the Corresponding Angles Theorem, angle 4 is congruent to angle 8.

By the Corresponding Angles Theorem, angle 2 is congruent to angle 6, and angle 6 is congruent to angle 8, so angle 2 is congruent to angle 8 by the Transitive Property.

Which value is an exact solution of the equation

Answers

Answer:

it's B

Step-by-step explanation:

becaus the exact form of m is the square root of 14

pls mark as brainliest lol

Answer:

[tex]\sqrt{14}[/tex]

Step-by-step explanation:

m is squared, so it would have to be the square root.

Write the equation of the line, that passes through the points (- 6, 1) and (10, 0)

Equation:

Now, write an equation of a line that is parallel to the above line and passes through point (-7, 2) in all three forms below.

Point-Slope Form

Slope-Intercept Form

Standard Form

Answers

The equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is that the line passes through the points (- 6, 1) and (10, 0).

The slope of the line will be -

{m} = (0 - 1)/(10 + 6) = -1/16

{m} = -1/16

We can write the equation as -

y = - (1/16)x + c

For the point (10, 0), we can write -

0 = - (1/16) x 10 + c

0 = - (10/16) + c

c = 10/16

c = 5/8

So, we can write the equation as -

y = - (1/16)x + (5/8)

The equation of a line that is parallel to the above line and passes through point (-7, 2) is as follows -

y = - (1/16)x + c

2 = - (1/16) x - 7 + c

c = 2 - 7/16

c = 25/16

y = - (1/16)x + (25/16)

Therefore, the equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).

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Solve = 3/5k + 7/10 = 11/15k – 2/5​

Answers

i get 11/2 is this wright answer??

11a + 12b = does it equal 23ab or not

Answers

Answer:

no it doesn’t.

Step-by-step explanation:

Help help help help help

Answers

Answer:

area = 254.5 m²

Step-by-step explanation:

area = πr² = (3.14159)(9²) = 254.46 m²

7. $5,000 was invested at a simple interest
rate. In 15 years, the account was worth
65 hundred dollars. What was the interest
rate?

A 0.2%
B 1.5%
C 2%
D 2.15%

Answers

Answer:

C. 2%

Step-by-step explanation:

(6500-5000) / 15 / 5000 x 100% = 1500 / 15 / 5000 x 100% = 100 / 5000 x 100% = 0.02 x 100% = 2%

what is the value of x?

Answers

Answer:119

Step-by-step explanation:

because it's on oppisite sides on the outside

Answer:

C) 119°

------------------------------

The two given two angles are alternate exterior angles and therefore  congruent according to alternate exterior angles theorem:

x = 119°

Definition:

Alternate exterior angles are the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.

The times taken by 25 people to complete a puzzle are shown. Draw a frequency polygon for data.

Answers

To create a frequency polygon calculate the midpoint,  locate the midpoints and connect them with lines.

What is a frequency polygon?

A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.

So, we must determine the midpoint or average of the range for each category.

0 < t < 10 = 5

10 < t < 20 = 15

20 < t < 30 = 25

30 < t < 40 = 35

2. Add a point where the data of the axis Y and X form an intersection.

3. Connect the points.

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At the gift shop entrance, fans go
through security at a rate of 15 people in
25 seconds. At that rate, approximately
how many people will go through security
in 135 seconds?

Answers

81 people because if you divide 135 seconds by 25 seconds you get 5.4 which you would multiply by 15 to get 81.

A straw is placed inside a rectangular box that is 9 inches by 5 inches by 4 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form?

Answers

Answer:

sq rt 122

Step-by-step explanation:

if the box is 9 inches length (base) then this applies

First find the base diagonal then find the furthest top to base diagonal after.

Pythagoras theorem

Base diagonal

9^2 + 5^2 = c^2

(sqrt) of 81+25 = c^2

(sqrt) of 106 = c^2 =  10.29563 inches

= 10.3 inches.

larger diagonal

We note the height is 4inches and we add this again squaring all digits on calculator

10.29563^2 + 4^2 = c^2

(sqrt) 121.999997 = c^2

= 11.045361017187261 = 11.08 = 11.1 inches

Radical form = sq rt 122

The diagonal of the straw in radical form is √122 inches.

What is rectangular prism?

A rectangular prism is a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.

The rectangular box is in the shape of rectangular prism.

For the given situation,

Length of the rectangular box, l = 9 inches

Breadth of the rectangular box, b = 5 inches

Width of the rectangular box, w = 4 inches

The formula to find the diagonal of the rectangular prism is

[tex]d=\sqrt{l^{2}+b^{2}+w^{2} }[/tex]

⇒ [tex]d=\sqrt{9^{2}+5^{2}+4^{2} }[/tex]

⇒ [tex]d=\sqrt{81+25+16}[/tex]

⇒ [tex]d=\sqrt{122}[/tex]

Hence we can conclude that the diagonal of the straw in radical form is √122 inches.

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What the function?
y = 2.5x + 8

Answers

Answer:

Step-by-step explanation:

This is a linear function with y-intercept (0, 8) and slope 2.5.

ALGEBRA 2 - Exponential and Logarithmic Functions
John invests $25,000 in an account that pays 4.75% annual interest compounded continuously. How many years, to the nearest tenth, will it take for John’s investment to triple?

Answers

Answer:

The equation you would use to solve this problem is:

A = P * e^(rt)

Where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of years.

We can rearrange the equation to solve for t:

t = (ln(A/P)) / r

Plugging in the values we know:

t = (ln(3*25000/25000)) / (0.0475)

t = (ln(3)) / (0.0475)

t = 4.93 years

So it will take about 4.9 years for John's investment to triple, to the nearest tenth.

Step-by-step explanation:

yeaahhhh help please i beg for your help -^-

Answers

Answer:

48

Step-by-step explanation:

Since it is a triangle, it should add up to be a total of 180 degrees.

I took 64 + 68 = 132

Since there's a missing angle, you can take 180 - 132 = 48

All the angles should add up to 180 so 64 + 68 + 48 = 180

Your welcome !!

PLEAS EHLP ME I DONT UNDERSTAND EXTRA POINTS AND BRAINLIEST PLEASE HLEPS!!!!!!!!!!!!!!!!!!!!


Karsik borrowed $8,500 from a bank. During a period of five years, he paid a total of $2,125 in interest. What was the simple annual interest rate that the bank charged Karsik for his loan?

0.05%

0.5%

5%

7.7%

Answers

Answer:

5%

Step-by-step explanation:

Find the solutions to x² = 24.
OA. x= 16-√4
B. x = +2√6
O C.
x = +6√ √2
OD. x +4√6

Answers

Answer:

x = 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24}[/tex] = [tex]\sqrt{(2)(2)(2)(3)}[/tex]  We can pull out a pair of 2's

2[tex]\sqrt{(2)(3)\\}[/tex] = 2[tex]\sqrt{6}[/tex]

The rate of growth dP / dt of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days (0 ? t ? 10) as shown below.
dP/dt=k \sqrt{t}
The initial size of the population is 300. After 1 day the population has grown to 600. Estimate the population after 8 days. (Round your answer to the nearest whole number.)

Answers

The population of bacteria after 8 days is 7088

Here, we have been given an equation for the rate of growth of a population of bacteria

dP/dt = k√t

where P is the population size

and t is the time in days (0 ≤ t ≤ 10)

We rewrite above equation as,

dP = k√t dt

Integrating both sides, we get,

P = (2/3) × kt^(3/2) + C

We find the value of C.

For t = 0, P = 300 as the initial size of the population is 300.

Substitute t = 0 in above equation.

300 = 0 + C

C = 300

So, the above equation becomes,

P = 300 + (2/3) × kt^(3/2)                .......(1)

Now we find the value of k.

After 1 day the population has grown to 600.

substitute t = 1, P = 600 in equation (1)

600 = 300 + (2/3) × k

(2/3)k = 300

k = 900/2

k = 450

So, the equation of population of bacteria after time t is:

P = 300 + [(2/3) × 450 × t^(3/2)]

P = 300 + 300 × t^(3/2)

P = 300 (1 + t^(3/2))

To find the population after 8 days, substitute t = 8

P = 300 (1 + 8^(3/2))

P = 7088.22

P ≈ 7088

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A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a Square unit?​

Answers

Answer:

Your answer is 539.93

Step-by-step explanation:

A = pi*r²

A = pi* 13²

A = pi*169

A = 539.93

What are the coordinates of point Q?

Answers

Answer:

(4, 2.5)

Step-by-step explanation:

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Answers

Answer:

first Q . mirror

Second Q. sight and touch

Answer:    Smoothest surface: mirror

senses being used: sight and touch

hope this helps!

Step-by-step explanation:

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