solve the matrix equation below. What is the value of x in the new matrix?

Solve The Matrix Equation Below. What Is The Value Of X In The New Matrix?

Answers

Answer 1

The new matrix that is formed by the 3A + B is given below. Then the value of x is 102.

[tex]\begin{bmatrix} w & z \\y & z \\\end{bmatrix} = \begin{bmatrix} 46 & 102 \\15 & -2 \\\end{bmatrix}[/tex]

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]a_{ij }[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrices are given below.

[tex]\rm A = \begin{bmatrix}9 & 27 \\0 & 6 \\\end{bmatrix}\\\\\\B = \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}[/tex]

Then the new matrix is given as 3A + B. Then we have

[tex]\rm 3A + B =\begin{bmatrix} w & z \\y & z \\\end{bmatrix}\\\\\\3A + B =3 \times \begin{bmatrix}9 & 27 \\0 & 6 \\\end{bmatrix} + \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}\\\\\\3A + B = \begin{bmatrix}27& 81\\0 & 18\\\end{bmatrix} + \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}\\\\\\3A + B = \begin{bmatrix} 46 & 102 \\15 & -2 \\\end{bmatrix}[/tex]

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Related Questions

Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.

What does the median say about Grace's data set?
Answer options with 4 options
A.
Everyone Grace surveyed has two pets.
B.
More of Grace's friends have two pets than any other number.
C.
Two is the middle number when the number of pets in the data set is ordered from least to greatest.
D.
Two is the difference between the greatest and least number of pets Grace's friends have.

Answers

The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.

What is the median of a data set?

The median of the data is the middle value of the data set when it arrange in ascending or descending order.

Grace collected data from twenty of her friends about the number of pets they have.  The median number of pets is two.

Median=2

By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.

Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.

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The swim team is sharing 6 pizzas. There are 36 players on the team. If each member has 1 slice, and each pizza has 8 slices, how much pizza in fraction form is left over?

Answers

First I did 8*6 which is 48 ( meaning there is 48 slices total)
Then take 36 and subtract that from 48 getting 12.
So there is 12 slices of pizza left over.

The amount of pizza left over in the fraction form will be 1/4.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the swim team is sharing 6 pizzas. There are 36 players on the team. If each member has 1 slice, and each pizza has 8 slices.

Total slices = 8 x 6 = 48

Total players = 36

Left slices = 48 - 36 = 12

The portion in fraction left is,

L = 12 / 48

L = 1 / 4

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A cube has a volume of 0.215ft³. What is te length of each side of the cube?

Answers

Answer:

length ≈ 0.599 feet

Step-by-step explanation:

volume = length³

0.215ft³ = length³

cube root both sides to isolate the length

∛(0.215ft³) = length

length ≈ 0.599 feet

The orbit of a planet around the sun is not circular; it is an ellipse with
the Sun at one focus. The aphelion of a planet is the greatest distance
from the sun and the perihelion is its shortest distance. The mean
distance of a planet from the sun is the length of the semimajor axis of
the elliptical orbit. The perihelion of Pluto is 4551 million miles, and the
distance from the center of its elliptical orbit to the sun is 897.5 million
miles. Find the aphelion of Pluto. What is the mean distance of Pluto
from the Sun? Write an equation to represent the orbit of Pluto around
the Sun.

Answers

The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.

How to compute the equation?

The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:

= 5448.5 + 897.5

= 6346 million miles

The equation of ellipse will be:

x²/a² + y²/b² = 1

x²/4659.42 + y²/4566.31 = 1

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Find the area of the composite figure below

Answers

Answer:

the answer is 25 hope it helps

The product of the polynomials (3x 2) and (-x^3 – 3) is . when this product is multiplied by (3 x), the coefficient of x4 in the result is

Answers

Answer:

(3x + 2)(-x^3 - 3) =

3x(-x^3 - 3) + 2(-x^3 - 3) =

-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)

now multiply that by (3+x)...

(3+x)(-3x^4 - 2x^3 - 9x - 6) =

3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =

-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =

-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)

the coefficient of x^4 = -11 <==

Step-by-step explanation:

Answer:

(3x + 2)(-x^3 - 3) =

3x(-x^3 - 3) + 2(-x^3 - 3) =

-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)

now multiply that by (3+x)...

(3+x)(-3x^4 - 2x^3 - 9x - 6) =

3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =

-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =

-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)

the coefficient of x^4 = -11 <==

Step-by-step explanation:

$6300 at 5% annual rate, compounded semi- annually, for 2 years

Answers

Answer:

$6954.02.

Step-by-step explanation:

The formula is

A = P(1 + 0.05/n)^2n   where A is the amount compounded, P = initial investment and n is the number of years.

A = 6300(1 + (0.05)/2)"(2*2

=  6954.02

As of 2016, Illinois has a population of 12, 801,539 people and has a land area of 55,519 square miles. Texas has a population of 27,862,596 people and a land area of 261, 232 square miles. Based on this data, which state has the greater population density? Move the correct state to the first blank, and move numbers into the remaining blanks to justify the answer. The state with the greater population density is because Illinois Texas 107 231 55,519 261, 232 12,801, 539 27,862, 596​

Answers

Using it's concept, it is found that the state with greater population density is Illinois.

What is population density?

Population density is the number of habitants divided by the area.

Considering the data given, for Illinois, the density is given by:

Di = 12,801,539/55,519 = 230.58 habitants per square mile.

For Texas, the density is given by:

Dt = 27,862,596/261,232 = 106.66 habitans per square mile.

Di > Dt, hence the state with greater population density is Illinois.

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What is the sum of the first five terms in this series?
6 - 6/3 + 6/9 - 6/27 + . . .?

Answers

Answer:

4 14/27

Step-by-step explanation:

The first five terms

6

-6/3

6/9

-6/27

+6/81

The first thing to do is change all the fractions denominators to 81.

Sum = 6*81/81 - 6(27)/81 + 6*9/81 - 6*3/81 + 6/81

Now add

Sum = 366/81

Sum = 4 14/27

Sum = 4.5185

Note the first term. It has been multiplied by 6*81/81. The 81 over 81 does not change the value of anything 6 * 81/81 is still 6. It just makes it easier to combine with the other members of the series.

PLEASE HELP WILL MARK BRAINLIEST 45 POINTS

Answers

Answer:

I got 58.5

I multiplied 3x9 to get 27

then 3x6 to get 18

then 3x9/2 to get 13.5 and added them all together.

Area of bottom triangle = 27/2= 13.5
Area of bottom rectangle = 9x3=27
Area of upper rectangle = 6x3=18

Hope I helped!

Which graph correctly shows point A as the sum of the complex numbers z1 and z2?
Which graph correctly shows point A as the sum of the complex numbers z1 and z2?
A.

B.

C.

D.

Answers

The graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.

What is complex number?

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,

a+bi

Here, (a) is the real part while (b) is the imaginary part.

To add the two complex number on the graph, the addition as transition method is used.

In this one complex number is translated to the tip of the other graph. The resultant of addition is equal to the distance between them.

On the graph 4, the transition method of addition is applied.Thus, the graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.

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22. Which of the following is the equation of the circle shown below? .2 = a. x2 + (y + 3)2 = 3 b. x2 + (y - 3)2 = 3 c. x2 + (y + 3)2 = 9 d. x2 + (y - 3)2 = 9 = --13 2​

Answers

Answer:

23456789-123456789

Step-by-step explanation:

es la cuadricula

The list 11, 20, 31, 51, 82 is an example of a list of five strictly positive integers
arranged in ascending order and of which we obtain the third integer by adding the
first and second integers, the fourth by adding the second and third
integers, and the fifth by adding the third and fourth integers. How much
such lists of five positive integers have 124 as the fifth integer?

Answers

Zero integers will be 124 the closet you can get is 123

What is the volume of a right circular cylinder with a base radius of 6 feet and a height of 10 feet? 900 cubic meters 120 cubic meters 180 cubic meters 360n cubic meters​

Answers

Step-by-step explanation:

the volume of a cylinder is

base area × height = pi×r² × height

with r being the radius.

so, we get

pi×6² × 10 = pi×36 + 10 = 360pi =

= 1,130.973355... ft³

now we need to look at the conversion rate between feet and meters :

1 ft = 0.3048 m

1 ft² = 0.3048² m² = 0.09290304 m²

1 f³ = 0.3048³ m³ = 0.028316847... m³

1,130.973355... ft³ = 1,130.973355... × 0.028316847... =

= 32.025599... m³

so, something is not right with your answer options. it looks like you put maybe the answer options of a different question in here.

but none of them get even close to the actual solution of the given question.

Figure A is a scale image of figure B

Answers

Answer:

x = 7.5 units

Step-by-step explanation:

10   *   .75    = 7.5

solve the system using elimination. show all work. write your answer in the form (x,y) 2x-3y=18 x+y=14

Answers

Answer:

x=12 y=2

Step-by-step explanation:

Due to fractions have screen shorted the steps in the image above

please help me solve this solve the triangle round to nearest tenth​

Answers

Answer:

the measurement of the angle A is 39.17°

Please help brainliest who answer's first and correct

Answers

Answer:

just start at like 220 i am pretty sure

Step-by-step explanation:

Identify the Pre-Image in the diagram below. EXPLAIN your answer.

Answers

A transformation's preimage is the shape before the change. The image that is a pre-image is A'B'C', which is in blue colour.

What are an image and pre-image?

We have a term for the shape before the transformation and another one for the shape after the transformation. The shape after a transformation is the image of the transformation. A transformation's preimage is the shape before the change.


In maths, the pre-image is the original figure. Therefore, the image that is a pre-image is ABC, which is in red colour.

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Write and solve an equation to find the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

By the property intersecting chords:

x(16) = (10)(8)

-> x (16) = 80

-> x = 80/16

-> x = 5

NEED ANSWER ASAP
Analyze the graph below to identify the key features of the logarithmic function. (6 points)

The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6.
The x‐intercept is y = −5, and the graph approaches a vertical asymptote at y = −6.
The x‐intercept is x = 5, and the graph approaches a vertical asymptote at x = 6.
The x‐intercept is y = 5, and the graph approaches a vertical asymptote at y = 6.

Answers

The x intercept is lies at the midpoint of (-6 and -4

so

x=-5 is the x intercept

And it's translation of logx

translated equation

y=log(x+6) as log x has x intercept at 1

Now the vertical asymptote is at

(x+6)=0x=-6

Option A

Answer:

The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6

Step-by-step explanation:

From inspection of the graph:

x-intercept is where the curve intercepts the x-axis → x = -5

y-intercept is where the curve intercepts the y-axis → y ≈ 0.75

An asymptote is a horizontal or vertical line which the curve gets infinitely close to, but never touches.

From the portion of the curve in the graph, it appears that the curve gets very close to but never touches:

the vertical line x = -6the horizontal line x = 1

(However, without seeing a large portion of the graph, we cannot be sure, particularly for the horizontal asymptote).

Therefore, from the given solution options:

The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6

FIND THE EXACT AREA PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Check the picture below.

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} r=\stackrel{smaller}{radius}\\ R=\stackrel{larger}{radius}\\[-0.5em] \hrulefill\\ r=2\\ R=3 \end{cases}\implies \begin{array}{llll} A=\pi (3^2-2^2)\implies A=5\pi \\\\\\ A\approx 15.71 \end{array}[/tex]

what's the answer?? please help me

Answers

The answer is

-5/2

explanation:

PLEASE HELP ME I GIVE BRAINLIEST

Answers

Answer:

[tex]\frac{2\pi }{3} \ ,\ \pi \ ,\ \frac{4\pi }{3}[/tex]

Step-by-step explanation:

suppose cos(x) = y

Then

[tex]2\cos^{2} \left( x\right) +3\cos x+1=0\Longleftrightarrow \begin{cases}2y^{2}+3y+1=0&\\ y=\cos \left( x\right) \ \ \text{and} &0\leqslant x\leqslant 2\pi \end{cases}[/tex]

2y² + 3y + 1 = 0 ⇒ y = -1 or y = -1/2  (because 2-3+1=0)

y = -1 ⇔ cosx = -1 ⇒ x = π  (because x∈[0,2π] )

y = -1/2 ⇔ cosx = -1/2 ⇒ x = 2π/3 or x = 4π/3

Final answer :

x = π or x = 2π/3 or x = 4π/3

Help Please. Solve for x.​

Answers

Answer:

x = 16

Step-by-step explanation:

sec(60) = 32 /x

2 = 32/x

x2 =32

x = 16

What is the area of this right triangle?

30 mm²

39 mm²

60 mm²

78 mm²

Answers

Answer:

30

Step-by-step explanation:

since we are looking for the area of a right triangle you want to use the legs of the triangle. Basically 5x12 over 2= 30, I think I am correct if not I apologize/

Answer:

the answer is 78

Step-by-step explanation:

12x 5= 60

60x13=180

180+600=780

the answer equals up to 78

find four consecutive whole numbers whose sum is 74​

Answers

Answer:

17, 18, 19, 20

Explanation:

Let the numbers be x, x + 1, x + 2, x + 3

Their sum is equals to 74

x + x + 1 + x + 2 + x + 3 = 74     (group the variables)

x + x + x + x + 1 + 2 + 3 = 74    (simplify)

4(x) + 6 = 74                             (subtract both sides by 6)

4x = 68                                     (divide both sides by 4)

x = 17

Other numbers:

x + 1 = 17 + 1 = 18

x + 2 = 17 + 2 = 19

x + 3 = 17 + 3 = 20

Answer:

17, 18, 19, 20

Step-by-step explanation:

Let four consecutive whole numbers be x, (x + 1), (x + 2) and (x + 3)

According to the given condition:

x + (x + 1) + (x + 2) + (x + 3) = 74

-> 4x + 6 = 74

-> 4x = 74 - 6

-> 4x = 68

-> x = 68/

-> x = 17

-> x + 1 = 17 + 1 = 18

-> x + 2 = 17 + 2 = 19

-> x + 3 = 17 + 3 = 20

Thus, the four consecutive whole numbers are 17, 18, 19 and 20

jackson bought 3 pounds of candy for 9.60. What was the price of this candy in cents per ounce? PLS HELP

Answers

Answer:

The price of candies in cents per ounce is 20 cents per ounce.

Step-by-step explanation:

960 cents/(48 oz) = 20 cents/oz

Write a second degree polynomial with real coefficients and the given root; -2i

Answers

Answer:   x^2+4

Work Shown:

x = -2i

x^2 = (-2i)^2

x^2 = 4i^2

x^2 = 4(-1)

x^2 = -4

x^2+4 = 0

Side note: Since -2i is one root, this means 2i is the other conjugate root.

[tex]\text{For quadratic equations, if one root is complex, the other root will be its conjugate.}\\\\\text{So, the roots of the second degree polynomial are}~ \alpha = -2i ~~ \text{and}~~ \beta =2i \\\\\text{The equation is,}\\\\~~~~~~~x^2-(\alpha + \beta) x +\alpha \beta = 0\\ \\\implies x^2 -(-2i+2i)x +(2i)(-2i)=0\\\\\implies x^2 -0\cdot x -4i^2 =0\\ \\\implies x^2 -4(-1)=0\\\\\implies x^2 +4=0[/tex]

Please help.
fiona asked 150 students to select their favorite fruit and then recorded the results in the bar graph below. fiona will ask another 45 students to select their favorite fruit. based on the information in the bar graph, how many more students from the next 45 are likely to select oranges rather than bananas their favorite fruit?

Answers

The number of students that are more likely to select oranges rather than bananas their favorite fruit from the next 45 is; 3.

What no. of students from the next 45 are likely to select oranges rather than bananas their favorite fruit?

It follows from the task content that the number of students surveyed initially is 150 and only, 30 -20 = 10 students preferred orange to bananas.

On this note, it follows that the number of students who prefer oranges rather than bananas from the next 45 is; = (45 × 10)/150 = 3.

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