What is the solution to the system of linear equations represented by the matrix equations below. Please help!!!!!
Answers
Explanation I did the test and got it right
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.
Find out more information about matrix multiplication here
https://brainly.com/question/14490203
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Related Questions
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
Is algebra.
PLEASE HELP NO LINKS OR FILES.
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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.
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:
(x2 + 12x + 14) = (x + 1).
Answers
Answer:
x=-1.34
Step-by-step explanation:
x=-1.34
Determine which statements are true or false
Answers
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
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
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
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
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:
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
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).
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.
. 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]
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
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
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
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
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
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Please help with this one too??
Answers
Answer:
21979
Step-by-step explanation:
21979 = 11(1997)+12
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:
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.
can someone help me with this???
Answers
Answer:
it's 47 degree answer of your question
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.
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.
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
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
hello please help i’ll give brainliest pls
Answers
Answer:
iqiquwieueoeukr jffjfk
Step-by-step explanation:
iwiwi3uurueu3u bb fnwowjdk italiano
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
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
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!!!