Given the system:
(3x - 2y +z = -4
-x + y - 2 = 2
2x -y + 2z = 2
The determinant of the coefficient matrix is equal
to:
Answers
Answer:
it's 2 and one unique solution
Step-by-step explanation:
The determinant of the coefficient matrix is equal to 2.
What is determinant of a matrix?The determinant of a matrix is the scalar value computed for a given square matrix. Linear algebra deals with the determinant, it is computed using the elements of a square matrix.
According to question,
3x - 2y +z = -4
-x + y - 2 = 2
2x -y + 2z = 2
[tex]\left[\begin{array}{ccc}3&-2&1\\-1&1&-1\\2&-1&2\end{array}\right][/tex]
Expanding the matrix,
3(2-1) + 2(-2+2) + 1(1-2)
=3+0-1
=3-1
=2.
Hence the determinant of the coefficient matrix = 2.
To learn more on determinant of matrix line click :
https://brainly.com/question/4470545
#SPJ2
Related Questions
A parallelogram has a base of 7 inches and a height of 11 inches. What is the area?
Right answer gets 25 points
Answers
Answer:
The answer is 77 that is the area :)
Step-by-step explanation:
Ms. Bailey is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $6 for each child ticket. Ms. Bailey spends $46.00 at the movies. Write and solve an equation to determine the number of child tickets Ms. Bailey purchases.
Answers
Equation
10+6x=46
subtract both sides by 10
10-10 46-10
to get 6x=36
divide both sides by six to isolate the variable
6x/6 36/6
which gives you
x=6
6x + 10 = 46 is the equation to determine the number of child tickets Ms. Bailey purchases and Ms. Bailey purchases 6 child tickets.
Let's assume that Ms. Bailey purchases "x" child tickets.
The cost of each child ticket is $6, so the total cost of child tickets would be 6x dollars.
Ms. Bailey also purchases one adult ticket for $10.
The total cost spent by Ms. Bailey at the movies is $46. Therefore, we can write the equation:
6x + 10 = 46
To solve for "x," we can start by subtracting 10 from both sides of the equation:
6x = 46 - 10
6x = 36
Divide both sides of the equation by 6 to isolate "x":
x = 36/6
x = 6
Therefore, Ms. Bailey purchases 6 child tickets.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ6
A marathon is 26.2 miles long. There is a water station every 114 miles along the race route and at the finish line. How many water stations are needed for this marathon?
Answers
Answer: 21 water stations
Step-by-step explanation:
From the question, we are informed that a marathon is 26.2 miles long and that there is a water station every 1 1/4miles along the race route and at the finish line.
To get the number of water stations that are needed for this marathon, we divide 26.2 miles by 1 1/4miles. This will be:
= 26.2miles/1 1/4 miles
= 26.2 miles/1.25 miles
= 20.96
= 21 water stations
( will give brainliest to the first person who answers)
Answers
Answer:
1.5 hours
Step-by-step explanation:
20,000 goes into 30,000 twice and the birds top speed is 20,000 so it must have flown for an hour and a half in order to fly 30,000 meters.
Answer:
Step-by-step explanation:
the top speed of bird is 20000 meters per hour
he flew 30000 meters with no stop
to find how may hours the bird flew use cross multiply method:
20000 m 1 hour
30000 m ???
30000 meters* 1 hour / 20000 meters per hour= 1.5 hours
one hour and a half
Which quotient is greater than 3? 36 ÷ 15 32 ÷ 14 30 ÷ 12 28 ÷ 8
Answers
Answer:
28 divided by 8 = 3.5
Step-by-step explanation:
36 divided by 15 is 2.4, 32 divided by 14 is 2.29, 30 divided by 12 is 2.5, and 28 divided by 8 is 3.5. The greatest quotient comes from 28 divided by 8 which is 3.5
Find the X intercept show work
Answers
i’m not sure how to explain it, sorry!
Can someone Please help me on 4,5,6,7,8
Answers
Answer:
4)7 5)-9 6)18 7)-54 8)11
Step-by-step explanation:
Which three values are greater than 1/2?
1/3
45%
0.62
59%
0.315
3/4
Answers
these are all more than 50% which is what 1/2 is.
Answer:
value 315 3/4 value 59 1/3
HELP WILL MARK YOU BRAINLIEST
Answers
Answer:
(10,6)
Step-by-step explanation:
if a is (0,0) and the midpoint is (5,3) you just double the 5 and the 3, which gives you (10,6).
what is the answer pls
Answers
Answer:
-5 × -5 × -5
Step-by-step explanation:
-5^3 = -5 × -5 × -5
which one is false?!!
Answers
Answer:
I think it is D
Step-by-step explanation:
64 4
27 3
16 2
so.
give another name for plane n
Answers
...........................
Simplify √3b (√10 + √3)
Answers
Answer:
√30b+3b
Step-by-step explanation:
Multiply
√3×√10b+√3×√3b
√30b+√9b
√30b+3b
Alex, Toby and Samuel are playing a game together.
At the end of the game, they will make a classification with one of them in First
place, one of them in Second place and one of them in Third place.
Work out how many possible outcomes there could be at the end of their game.
Answers
find the distance of a chord 8cm long from the centre of a circle radius 5cm
Answers
Answer:
3 cm
Step-by-step explanation:
Multiply the following expression. Show work
(3y - 8)(-2+ y)
Answers
3y^2-14y+16
Process:
(3y-8)(-2+y)
Use the FOIL on the parentheses
=3y(-2+y)-8(-2+y)
Use the distributive property
=-6y+3y^2+16-8y
Combine like terms
=3y^2-8y-6y+16
=3y^2-14y+16
I hope this helps! Please comment if you have any questions.
-3(2x - 1) + 8x = 15
Answers
Answer:
x = 6
Step-by-step explanation:
use distributive property to multiply the -3 with the numbers inside the parentheses
-6x + 3 + 8x = 15
combine like terms
2x + 3 = 15
subtract 3 from both sides
2x = 12
x = 6
Answer:
x=6
Step-by-step explanation:
Distribute -3 through the parentheses
Collect like terms
Move constant to the right hand side and change it sign
Subtract the numbers
Divide both sides by 2
Boom
PLEASE HELP!!!!!!
Determine if the following statement is true or false and explain how you know: The sum of a rational number and another rational number is always rational
Answers
Answer:
Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.
Step-by-step explanation:
:)
Answer: True, because 8 + 0.5 = 8.5, which is a rational number since fractions and decimals are counted as rational numbers.
A pair of angles whose sum is 90 degrees.
Answers
Answer: Complementary angles are pair angles with the sum of 90 degrees
Step-by-step explanation: When talking about complimentary angles, always remember that the angles appear in pairs. One angle is the complement of the other angle.
Hope this helps :)
Please mark me as Brainliest
Which shows 0.23 as a fraction?
A
2
33
B
7
33
23
99
D
7
30
Answers
0.23 as a fraction would be 23/100 or roughly 2/10
Answer: 7/30
2/33 = 0.060...
7/33 = 0.2121...
23/99 = 0.232...
7/30 = 0.233...
The answer is 7/30.
Hope it helps!
what is the solution to the equation 1/3(x-2)=1/5(x+54)+2
Answers
Answer:
x=101
Step-by-step explanation:
3.) Select the FALSE statement:
Vertical angles are congruent
O Supplementary angles are congruent
O Alternate interior angles are congruent
The three angles in a triangle add up to 180 degrees
Answers
Answer:
o supplementary angles are congruent
Step-by-step explanation:
Elaina was selling doughnuts for a school fundraiser. She sold 66 doughnuts and has 32 left. How many doughnuts did she have to begin with?explain your answer
Answers
Q. You are working on an air conditioning system. A
roll of cylindrical copper tubing has an outside
diameter of 7/8 inch and an inside diameter of 3/4
inch. How much refrigerant can 12 feet of the tubing
hold?
A. 0.037 cubic feet
B. 0.065 cubic feet
C. 0.147 cubic feet
D. 5.30 cubic feet
Answers
Answer:
I think it should be B. 0.065
If you start at Parking B and take the elevator to the fourteenth floor, how many levels have you gone up? [Type your answer as a number.]
Answers
Answer:
15 or 14
Step-by-step explanation:
I hope you meant Parking B as in Basement bcoz that's what i got
If you are in the US you should probably choose 14 since ground floor is not considered a floor.
For 15, I added plus ground floor.
PLEAsE HELP! I have been working on this question for a bout 3 hours. equation is in the middle and answer options are on the side.
Answers
Answer:
[tex]\frac{1}{z}[/tex]
I hope this helps!
[tex] \frac{ {z}^{3} {x}^{6} }{ {z}^{4} {x}^{6} } \\ = {z}^{3 - 4} x ^{6 - 6} \\ = {z}^{ - 1} \\ = \frac{1}{z} [/tex]
Answer:
[tex]c. \: \frac{1}{z} [/tex]
Hope you could understand.
If you have any query, feel free to ask.
the solution of -6+a=22
Answers
Answer:
a=28
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
a−6=22
Step 2: Add 6 to both sides.
a−6+6=22+6
a=28
(x+8)(x+11)=0 solve the following equation using the zero product property
Answers
Answer:
x = -8 x = -11
Step-by-step explanation:
(x+8)(x+11)=0
Using the zero product property
x+8 =0 x+11 =0
X+8-8 =0-8 x+11-1 = 0-11
x = -8 x = -11
3. Which of the following has a value that is
less than zero?
a. (-6)
b.
2
c. 0.52
d. -72
Answers
Answer:
The answer is c-0.52
Step-by-step explanation:
i hope this helps
Answer:
(-6), -72
Step-by-step explanation:
-6 and -72 are negatives. The sign in parenthesis (-) shows the number is negative. -1 and any other number that has a negative sign will always be less than zero. 2 and 0.52 are positive numbers and they will always be bigger than zero. 0.52 can be tricky though. But always know that 0.1 and any other number is always bigger than 0.
Match the sentences below to the correct vocabulary word.
1. 0.7 is a ___.
2. A decimal that ends in zero is a ___.
3. x is a terminating decimal, so it must also be a ___.
4. If x is not a rational number, it must be a(n) ___.
__repeating decimal
__irrational number
__rational number
__terminating decimal
Answers
Answer:
2134
Step-by-step explanation:
beacuse that is the wright answer
