What is the solution to the system of linear equations represented by the matrix equations below. Please help!!!!!

What Is The Solution To The System Of Linear Equations Represented By The Matrix Equations Below. Please

Answers

Answer 1
Answer: c no solution
Explanation I did the test and got it right
Answer 2

The system of equations has infinite solutions.

Option D is correct.

What is matrix multiplication?

Matrix multiplication is a binary operation whose output is also a matrix when two matrices are multiplied.

To multiply one matrix with another, we need to check first, if the number of columns of the first matrix is equal to the number of rows of the second matrix. Now multiply each element of the column of the first matrix with each element of rows of the second matrix and add them all.

Given

Matrix equations

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

L.H.S:

Using Matrix multiplication

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right][/tex]

R.H.S:

[tex]\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right]=\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

Writing equation from above matrix

2x + 4y = 6

x + 2y = 3

or

2x + 4y = 6

2x + 4y = 6

Because there are two unknown number, but the two equations are consistent.

So, the system of equations has infinite solutions.

Option D is correct.

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Related Questions

Which of the following relations is a function?
A.
(5, 10), (-8, 2), (-1, 8), (-5, 10)

B.
(10, 5), (2, -8), (8, -1), (10, -5)

C.
(5, 10), (-8, 2), (-1, 8), (-1, -5)

D.
(-1, 10), (-8, 2), (-1, 8), (-8, -5)

Answers

Answer:

A. (5, 10), (-8, 2), (-1, 8), (-5, 10)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches.

Answers

length = 3 + width

perimeter = 34

34 ÷ 2 = 17

width = x

3 +x + x = 17

3 + 2x = 17

2x = 14

x = 7

width = 7

help me and please tell me how did you get the answer​

Answers

Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

the answer is 10
how i got the answer was buy adding all the 2s together to get 8 and then i added all the half’s witch made 2 and all there was left to do was add the 2 and the 8 to get 10

udent
You roll a number cube two times. Which of the theoretical probabilities are accurate?
Check all that apply.
OP(1 then 0) = }
Pleven number then odd number) = 4
P(6 then 2) = 36
Pleven number then 5) = 12
ook
ons
ative
Plodd number then 2) =
HELP

Answers

Answer:

B ; C ; D

Step-by-step explanation:

Number of faces on a number cube = 6

Sample space = (1, 2, 3, 4, 5, 6)

P(1 then 0)

P(1) = 1/6 ; P(0) = 0

P(1 then 0) = 1/6 * 0 = 0

P(even number then odd number) :

P(even number) = 3/6 = 1/2

P(odd) = 3/6 = 1/2

P(even number then odd number) = 1/2 * 1/2 = 1/4

P(6 then 2) :

P(6) = 1/6 ; P(2) = 1/6 = 1/2

P(6 then 2) = 1/6 * 1/6 = 1/36

P(even number then 5) :

P(even) = 3/6 = 1/2

P(5) = 1/6

P(even number then 5) = 1/2 * 1/6 = 1/12

P(odd number then 2) :

P(odd) = 3/6 = 1/2

P(2) = 1/6

P(odd number then 2) = 1/2 * 1/6 = 1/12

please help me with this question ​

Answers

Answer:

-3x^2+16x+64

Step-by-step explanation:

First, you need to find the area of both areas (the total area and the area of the unshaded part). Let's find the total area.

(x+8)(x+8)=x^2+16x+64

The total area is x^2+16x+64

(2x)(2x)=4x^2

The area of the unshaded part is 4x^2

Now we have to subtract to find the area of the shaded part.

x^2+16x+64-4x^2

-3x^2+16x+64

That is the answer

Hope this helped!! :D

can someone help me with this???

Answers

Answer:

it's 47 degree answer of your question

It would be 47 degrees

Expand and simplify
2(2a - b) + 5(3a - 2b) pls quick​

Answers

Answer:

19a - 12b

Step-by-step explanation:

2(2a - b) + 5(3a - 2b)

4a - 2b + 15a - 10b

19a - 2b - 10b

19a - 12b

plz help urgent so easy will give brainliest mark for the first answer given!!

Answers

Answer:

Step-by-step explanation:

6). Equation of the line has been given as,

    4x + 9y = -9

    By converting this equation into y-intercept form,

    9y = -4x - 9

    [tex]y=-\frac{4}{9}x-\frac{9}{9}[/tex]

    [tex]y=-\frac{4}{9}x-1[/tex]

    By comparing this equation with y = mx + b

    Here, m = Slope of the line

    b = y-intercept

    Slope of the equation (m) = [tex]-\frac{4}{9}[/tex]

    y-intercept (b) = -1

8). Equation of the line is,

    5x + 3y = 12

    3y = -5x + 12

    [tex]y=-\frac{5}{3}x+\frac{12}{3}[/tex]

    [tex]y=-\frac{5}{3}x+4[/tex]

    Slope of the line = [tex]-\frac{5}{3}[/tex]

    y-intercept = 4

This drawing shows a human body system. What is the primary function of this body system?

Answers

Answer:

c

Step-by-step explanation:

yw

This shows the cardiovascular system.

The answer is: The transport of nutrients, water, and oxygen to body cells.

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

I believe it is D

Step-by-step explanation:

We can first multiply the 2 and 4 together to get 8.

Wow we already eliminated A.

When you have negative powers, you can just replace it with their inverse and turn the power positive.

For example, 2 to the power of -3  (2 ^ -3) can be replaced by 1/2 to the power of 3 (1/2^-3).

So we now have 8  (x^4 / yx^2

We can then just subtract the x's power of 2, because when dividing exponents with the same variable or base, we can just subtract them.

For example, x^5  divided by x ^ 2 has the same base/ variable of x, and you can subtract the 5 by 2 to get x^3.

So we have 8 ( x^2y)

So 8x^2 y

D.

Please help with this one too??

Answers

Answer:

21979

Step-by-step explanation:

21979 = 11(1997)+12

Which scatter plot could have
A trend line with the equation below?
Y=x+4

Answers

Answer:

you're correct the second one

Step-by-step explanation:

What do you used to find perimeter

Answers

Answer:

Perimeter = 2 ( l + w )

if u r given for rectangle thats the formula

Step-by-step explanation:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width).

On day 2, Jonathan fills water bottles at a constant rate after 1 day of filling up a few
water bottles. If B(m) = 3m + 12 represents this scenario where m represents the number
of minutes he spent filling up water bottles, how many minutes did he take to fill 552
water bottles?

Answers

Answer:

Step-by-step explanation:

. Simplify: (2 x 2 + 6-10 ÷

2)​

Answers

Answer: 5

Step-by-step explanation:

You see 2x2 = 4 right and since this is operation 2 / 10 = 5  and 6-5 = 1 so add 1 and that gives you 5

2x2 = 4 /  10/2 = 5 /  6-5 = 1 +4 = 5

Answer:

= 4x + -4

Step-by-step explanation:

Let's simplify:

[tex]2x(2) + 6 -10 \\ = 4x + 6 - 10[/tex]

Combine Like Terms:

[tex]=4x+6+−10

\\ =(4x)+(6+−10) \\ =4x+−4[/tex]

Question 5 (1 point) 5 The Cool Shirts company prints personalized designs on T-shirts. The cost y for x shirts with the same design is shown in the table below. y 10 $105 20 $185 30 $265 4:0 $345 Which equation represents the relationship between x and yo! A y = 10x - 55 By = 80x + 105 C y = 8x + 25 D y = 25x + 8 a А B od​

Answers

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

Amelia randomly selects two cards, with replacement, from a normal deck of cards. Calculate the probability that: the first card is a 9 of Clubs and the second card is a 10 of Clubs.

Answers

Answer:

1 / 2704

Step-by-step explanation:

Number of cards in a deck = 52

9 of clubs in a deck = 1

10 of clubs in a deck = 1

Probability = required outcome / Total possible outcomes

P(9 of club) = 1 / 52

With replacement ;

Then ;

P(10 of club) = 1 / 52

Hence,

P(9 of club, then 10 of club) = 1/52 * 1/52 = 1 / 2704

What is the vertex of the absolute value function below?

Answers

Answer:

B (-3,2) sorry i wish i would've answered sooner

Step-by-step explanation: took the test

Find the measure of angle b.

Which is the answer?

A.79
B.101
C.169
B.11

Can you help me, I would appreciate it very much:)

Answers

The answer is C k hope u got it right

aeo
What is the surface area of the cylinder with height 3 km and radius 6 km? Round
your answer to the nearest thousandth.

Answers

Answer:

339.290

Step-by-step explanation:

by using the formula for surface area of cylinder that is 2πrh+2πr^2

hello please help i’ll give brainliest pls

Answers

Answer:

iqiquwieueoeukr jffjfk

Step-by-step explanation:

iwiwi3uurueu3u bb fnwowjdk italiano

In a classroom, there are 5 girls and 7 boys. What is the chancethat the teacher will choose a girl to answer a question?

Answers

Answer:

5/12!

Step-by-step explanation:

So, imagine the denominator as the whole classroom, i.e. rephrase __ out of 12 to __/12. To get the total class, just add up both groups, which gets you 12! now, 5 out of the 12 kids are girls, so, put 5 in the last sections blank! i hope this helped!!!

yeah i really need help i have been at it for hours o btw u get brainly if u get it right

Answers

Answer:

(-5,-5)

Step-by-step explanation:

Connect The points H and F so it forms a right angle

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

G = (-5,-5)

Step-by-step explanation:

d = sqrt (x^2 - x^1)^2 + (y^2 - y^1)^2

Let's use the coordinate pairs: (6,4) and (6,-5).

Input.

d = sqrt (6 - 6)^2 + (-5 - 4)^2

Solve.

d = sqrt 0 + (-9)^2

d = sqrt 0 + 81

d = sqrt 81

d = 9

Count 9 places back from (6, -5) , then you will arrive at (-5,-5).

Thus, the fourth vertex of the rectangle "EFGH" is (-5,-5) for G.

Determine which statements are true or false

Answers

First one false, second one true, third one false

help me asap please I will mark brainliest and give extra points

Answers

Answer:

3/32

Step-by-step explanation:

prob greater than 5

that would be 6,7 or 8

p = 3/8

prob purple

p = 1/4

Prob of both

p = 3/8 * 1/4

p = 3/32

Simplify: 2³ + 8 – 16 ÷ 8 ⋅ 2

Answers

Answer:

12

Step-by-step explanation:

PEMDAS

FILLER FILLER FILLER

Answer:

15

Step-by-step explanation:

2x2x2=8

8x2=16

16/16=1

8+8=16

16-1=15

can anyone help me solve this​

Answers

Answer:

B

Step-by-step explanation:

THIS IS HOW YOU CAN FIND ANY MISSING ANGLE - ALSO SOLVES FOR X IN THIS QUESTION.

So, a traingle is 180 degrees.

A line is also 180 degrees.

We know that the angles that make up the triangle are 46, 90, and a missing angle

We need to find the missing angle to find x

To find the missing angle, we must subtract the known angles by the 180 degrees of the traingle.

So:

180-90

=

90

90-46

=

44

So we know the missing angle is 44 degrees.

Let subtract the missing angle(44 degrees) by the 180 degrees of the line:

180-44

=

136

THIS IS WHAT ANSWERS THE OPTION METHOD THAT GIVES THE ANSWER

So x equals 136. This is the missing angle x.

So, remember, both the line and the traingle are 180 degrees.

They both need to find the missing value, which we know is 44

The rest of both the triangle and line is 136 degrees.

Well, 136 degrees on the triangle is the known 90+46 degrees.

Since this will be the same on the line, we can think of x as:

90+46

This looks like answer 1.

Hope this helps! :)

Read top part so you can understand how to do future problems, and write in comments if you are confused/need more help.

Carlos has a nail in his car tire. The tire is not flat, but he's on his way to get it fixed. He's driving at a constant speed, and the diameter of the tire is 3 feet.

Which rule could model the height of the nail from the ground?

a) f(x)=1.5cos(16πx)+1.5
b) f(x)=1.5cos(16πx)−1.5
c) f(x)=3cos(16πx)+3
d) f(x)=16πcos(1.5x)+3

Answers

Answer:

f(x)=1.5cos(16πx)+1.5

(Question on a Quiz was correct)

The trigonometric equation is f ( x ) = 1.5cos ( 16πx ) + 1.5 , when x = 3 feet , the height of the nail from the ground is 3 feet

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

f ( x ) = 1.5cos ( 16πx ) + 1.5

Let the diameter of the tire be x

Let the height of the nail from ground be f ( x )

On simplifying , we get

when x = 3 feet

f ( 3 ) = 1.5 cos ( 16π ( 3 ) ) + 1.5

f ( 3 ) = 1.5 cos ( 48π ) + 1.5

From the trigonometric relation cos ( nπ ) = 1

f ( 3 ) = 1.5 + 1.5 = 3 feet

Hence , the height of the nail from the ground is given by the equation with f ( x ) = 1.5cos ( 16πx ) + 1.5

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(x2 + 12x + 14) = (x + 1).

Answers

Answer:

x=-1.34

Step-by-step explanation:

x=-1.34

A tepee is designed to have a diameter of 10 feet and the volume of 419 ft.³ at what height the support poles crossed with some of the tepee correctly?

Answers

Answer:

The required height is equal to 5.33 feet.

Step-by-step explanation:

Given that,

Diameter, d = 10 feet

Volume, V = 419 ft.³

We need to find the height the support poles crossed with some of the tepee correctly. Let the height is h.

The tepee is in the form of a  cylinder. The volume of a cylinder is given by :

[tex]V=\pi r^2 h\\\\h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{419}{3.14\times 5^2}\\\\h=5.33\ ft[/tex]

So, the required height is equal to 5.33 feet.

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