The correct answer is the inverse matrix: [ 1 -3 2]
[ 2 -5 3]
[-1 3 -2]
To find the inverse matrix that can be used to solve the given system of equations, we need to represent the system in matrix form as AX = B, where A is the coefficient matrix, X is the column matrix of variables, and B is the column matrix of constants.
The given system of equations can be written as:
[1 -1 -1] [x] [ 4]
[-1 2 3] * [y] = [-2]
[ 1 1 4] [z] [10]
To find the inverse matrix, we'll set up the augmented matrix [A | I], where I represents the identity matrix:
[1 -1 -1 | 1 0 0]
[-1 2 3 | 0 1 0]
[1 1 4 | 0 0 1]
Using Gaussian elimination, we'll perform row operations to transform the left side into the identity matrix, while applying the same operations to the right side. The resulting matrix on the right side will be the inverse matrix.
After performing the row operations, the augmented matrix becomes:
[1 0 0 | 1 -3 2]
[0 1 0 | 2 -5 3]
[0 0 1 | -1 3 -2]
Therefore, the inverse matrix is:
[ 1 -3 2]
[ 2 -5 3]
[-1 3 -2]
Hence, the correct answer is the inverse matrix:
[ 1 -3 2]
[ 2 -5 3]
[-1 3 -2]
Learn more about matrix here:
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Using the following figure, determine the measure of.
Answer:
x=36
Step-by-step explanation:
Assuming both shapes are the same, we know the entire angle is 108. Basically we just divide 108 with 3 and you have your answer (36).
Rewrite the equation so that it does not have fractions
2-3/4x = 5/12
Do not use decimals in your answer.
Answer:
[tex] \frac{2 - 3}{4x} = \frac{5}{12} \\ 4x(5) = 12(2 - 3) \\ 20x = 24 - 36 \\ 20x = 12[/tex]
hope it helps you<318% of cats who like
Cat food A' also like
Cat food 'B'. If there
are 500 cats who like
Cat food 'A', how many
like Cat food B?
Answer
-
95
28
90
Answer: 90
Step-by-step explanation:
To easily solve this, just take .18 x 500. We know we can convert a percent to a decimal by moving the decimal point two places to the left. This allows us to multiply .18 x 500 to get a final answer of 90
The amount of money invested or borrowed is known as
Answer:
Principle
Step-by-step explanation:
An amount borrowed or invested is a principle
128.15 equals 11 (6.4 + 4.8 + x) pls urgent I'm in big trouble
Help, help, help pips!! Thanks!!
Irrelevant answers will be deleted.
Answer:
see explanation
Step-by-step explanation:
(3)
the values of q decrease as the values of p increase.
this indicates an inverse relationship between the quantities, that is
q = [tex]\frac{k}{p}[/tex] ← k is the constant of variation
to find k use any ordered pair from the table.
using q = 16 when p = 3 , then
16 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )
48 = k
q = [tex]\frac{48}{p}[/tex] ← equation of variation
(4)
the values of q increase as the values of p increase.
this indicates the quantities are in direct variation, that is
q = kp ← k is the constant of variation.
to find k use any ordered pair from the table.
using q = 2 when p = 6 , then
2 = 6k ( divide both sides by 6 )
[tex]\frac{2}{6}[/tex] = k , that is
k = [tex]\frac{1}{3}[/tex]
q = [tex]\frac{1}{3}[/tex] p ← equation of variation
Karen jogs at a steady pace up a hill in her neighborhood. She then runs down the hill, and her speed increases. Which graph best describes this
situation?
Answer:
The last one
Step-by-step explanation:
its literally just up and down
Can Someone Help Me With This Please!
Answer:
x is greater than or equal to 11
Step-by-step explanation:
Don't have explanation!! Extremely sorry!
Distribute to create an equivalent expression with the
fewest symbols possible.
(7 - 4n) - 6
Answer:
24n-42
Step-by-step explanation:
by factoring, you take whatever is on the outside and multiply by each of the inside, so.
7x-6=-42
and
-4nx-6= 24n (since we multiply 2 negatives, it becomes positive)
Answer:42-24n
Step-by-step explanation: the other answer switched it around
Beth and Jose went to dinner at a restaurant and their entire meal costed $30.75. If they want to give their server a 20% tip, about how much money should they leave on the table for the tip?
Answer:
$6.15
Step-by-step explanation:
30.75×20%
...........................
[tex](3x+5)(2x+4)+2x^{2}[/tex]
Answer:
can you take picture for the question?
16w+2 simplified
Factor the expression by the greatest common factor
Answer:
2(8w + 1)
Step-by-step explanation:
Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.
2 appears on both sides of the plus sign.
2(16w/2 + 2/2)
Hello.
Remember that factoring is the opposite of distributing.
Factoring looks like this:
ab+ac=a(b+c) [tex]\longmapsto[/tex] factor out the greatest common factor
In this case, the Greatest Common Factor is
2
Now, divide both terms of the expression by 2.
2(8w+1)
Is this right? We can easily check by using the Distributive Property and distributing 2. Then, we can compare both expressions and see if we ended up with the original expression.
16w+2
See? We have the original expression.
I hope it helps.
Have an awesome day.
[tex]\boxed{imperturbability}[/tex]
Can someone answer this for me?
Answer:
for this you can use online calculator
Step-by-step explanation:
complete the table below to give the outcomes and the corresponding probabilities
Solve the equation for the variable x: mx + 5w = 6w
Answer:
x=w/m
Step-by-step explanation:
x = w/m, this is the answer its really no explanation brainly police dont take this down you can check for yourselves.
find the area of circle having radius 14cm.
Answer: 1231.50 cm^2
Step-by-step explanation:
Area of a circle: A=2pir^2
A=2(pi)(14)^2
A=1231.50 cm^2
3.785 to whole number
Answer: 4
Step-by-step explanation: with rounding the 7 bumps the 3 to a 4
Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=3
Answer:
I think the answer is y = 3x - 10
Step-by-step explanation:
What is the solution set of an inequality? Use the inequality x > 10 as an example.
Answer:
The set of all solutions.
Megan added two numbers and the resulting sum was an irrational number. The first number was 2/3, which of the following could be the second number? Select TWO that apply
Answer:
[tex]A.\ 2\sqrt7\ \ \ \ \ \ \ \ \ \ C\bullet3\pi[/tex]
Step-by-step explanation:
[tex]\frac{\left(Basic\ Calculation\right)}{\frac{6}{5}+\frac{2}{3}=\frac{18}{15}+\frac{10}{15}=\frac{28}{15}}[/tex]
[tex]5+\frac{2}{3}=5\frac{2}{3}[/tex]
[tex]\sqrt9+\frac{2}{3}=3+\frac{2}{3}=3\frac{2}{3}[/tex]
[tex]So\ 2\sqrt7\ and\ 3\pi\ is\ the\ answer[/tex]
I hope this helps you
:)
A scientist observes that an initial population of 750 endangered turtles triples each year.
If p represents the population of turtles, write an equation for p in terms of y, the number years since the scientist began observing
Answer:
3p+750=y
Step-by-step explanation:
This submarine starts at zero units we want to move our submarine to six units the submarine can only move by adding two floats or 2 inches at a time how many groups of floats or interest we have to add to get to six units
Answer:
You can use simple math formulas and equations to solve this problem, so instead of going onto brainly for free answers try using your brain for once
oh wait you dont have one
Answer:
If you mean 2 inches per unit then it is 12 floats
Step-by-step explanation:
PLEASE HELP! One year, the population of a city was 109,000. Several years later it was 126,440. Find the percent increase.
Answer:
16% Increase
Step-by-step explanation:
I don't really know how to explain
what is 6 divided by 131.4
SHOW WORK please
will give brainliest
Answer:
21.6
Step-by-step explanation:
131.6÷6
One just needs to go to his/her calculator and solve it
Answer:
0.04566210...(8-digit repeat)
Step-by-step explanation:
The quotient of 6 ÷ 131.4 is shown in the attachment. The remainder at the bottom matches the original dividend, so the quotient will be repeating:
[tex]\dfrac{6}{131.4}=0.\overline{04566210}[/tex]
The division process starts by rewriting the problem to integer division:
60/1314
(If you like, you could further reduce this to 10/219 by removing a common factor of 6 from numerator and denominator.)
At each stage, the quotient digit is multiplied by the divisor and the result subtracted from the dividend to get a new dividend. Careful attention to the vertical alignment of digits will help ensure that quotient digits have their proper place value.
a: b = 7:4
b: c= 2:5
Work out а: c
Give your answer in its simplest form
Find a polynomial that represents the area of the
square.
Answer:
16x² + 72x + 81
Step-by-step explanation:
The area of a square is [tex]s^2[/tex], where s = side. In this case, we're given the side length as 4x + 9.
[tex](4x+9)^2 = (4x+9)(4x+9)[/tex] [tex](4x+9)(4x+9)=(4x)(4x)+(4x)(9)+(9)(4x)+(9)(9)[/tex] [tex]16x^2+36x+36x+81[/tex] [tex]16x^2+72x+81[/tex]Therefore, the answer is 16x² + 72x + 81.
geometry due tonight
Answer:
A: 5 CM
B: 2.5 CM
C: ABC approx. equal to EDC (I'm not 100% sure on this one, but it makes most sense.)
I can't help you with number four, I'm sorry. I hope someone else comes along and helps with that!
Step-by-step explanation:
The symbol being used means "approximate equality" meaning that the two angels are alike. So in A, the two sides on the shapes are both 5 cm. On B, since it is half of that side, it would be half of five, making it 2.5 cm. For C, the middle letter is the one touched second. Therefore when you draw the shape it makes the most sense that it's ABC approx. equal to EDC. Not to mention that ABC and the next angel has to match, so since the C is last, it also matches in that spectrum.
For D, I don't know the terminology, I'm sorry.
What is solving inequalities
An inequality is a comparison of expressions by either "less than" (<), "less than or equal to" (<=), "greater than" (>), or "greater than or equal to" (>=). Note that Html does not support the standard symbols for "less than or equal to" and "greater than or equal to", so we use <= and >= for these relations.
Giving right answer branleist
Answer: y= -3/5x+2.8
Mr. Hawkins bought 2 shirts for $40 each. The store was have a Buy One, Get One 50% Off sale. Mr. Hawkins also had a 10% off coupon to apply to his subtotal. He then paid 6% sales tax on that amount. How much did he spend?
Answer:
50.4
Step-by-step explanation:
2x40=80
40/2=20
80-20=60
60x10/100=6
60x6/100=3.6
3.6+6=9.6
60-9.6=50.4