MATHEMATICS MIDDLE SCHOOL

What is it’s determinant?Does the determinant depend on the variables?
Make a conjecture.
What is it’s determinant? Does the determinant depend on the - 1

Answers

Answer 1
Answer:

The determinant of the given matrix is 8+4xz-8y. Therefore, the determinant depends on the variable.

What is determinant?

Determinants are considered as a scaling factor of matrices. They can be considered as functions of stretching out and the shrinking in of the matrices. Determinants take a square matrix as the input and return a single number as its output.

The given matrix is

\left[\begin{array}{ccc}1&x&y\n0&2&z\n0&0&4\end{array}\right]

The determinant of 3×3 matrix can be find using

|C|= a₁(b₂c₃−b₃c₂)−b₁(a₂c₃−a₃c₂)+c₁(a₂b₃−a₃b₂)

Now, 1(2×4-z×0)-0(x×4-y×0)+4(x×z-y×2)

= 8+4xz-8y

The determinant of the given matrix is 8+4xz-8y. Therefore, the determinant depends on the variable.

Learn more about the determinant here:

brainly.com/question/29574958.

#SPJ5
Answer 2
Answer:

Answer:

det = 8

Step-by-step explanation:

1(8 - 0) - x(0 - 0) + y(0 - 0)

= 8

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Jen wants to buy a dress that originally had the price of $33, but now it is on sale 10% off. How much will Jen pay for the dress?

Answers

you multiply 33 by 0.9 because it's minus 10% (0.1) and the answer is $29.7
You would multiply 33 by 0.9, because you're taking 10% away and 100%-10% is 90% which is 0.9. And that equals 29.7 So the answer is: Jen will pay $29.7!

the science club sponsor is ordering caps and shirts for the boys and girls in the science club.There are 45 science club members.If the caps come in packages of 3 and the shirts come in packages of 5 what is the least number of packages of caps and shirts that will need to be ordered?

Answers

Answer:

They need to at least 9 packs of shirts and 15 packs of caps in order to meet their needs.

Step-by-step explanation:

Given that

Total members of club = 45

Total caps needed = 45

Total shirts needed = 45

Number of caps contained by each pack of caps = 3

Number of Shirts contained by each pack of caps = 5

Now we have to find the least number of packs of caps and shirts that they need to buy in order to fulfill the needs of each member.

Total packs of shirts needed = Total shirts needed/ Shirts in each pack

= 45/ 5 = 9

Total packs of caps needed = Total caps needed/ caps in each pack

= 45/ 3 = 15

So, they need to at least 9 packs of shirts and 15 packs of caps in order to meet their needs.
The shirts because if the caps come in packs of 3 then there will have to be more cap packages than shirt packages

Karyn proofreads 15 pages in 2 hours for $40 What is her proofreading rate in pages per hour

Answers

Answer:

7.5, and the fraction for it is 7 1/2.

Step-by-step explanation:

15 / 2 = 7.5 = 7 1/2

Karyn's proofreading rate is 7.5(7 1/2) pages per hour.

Hope this helps!

Write an expression for the calculation 34 minus 5 times the difference of 11 and 6

Answers

34-5x(11-6)
Hope this helps
the expression is 34-5(11-6)

Is that better for you guys please hurry

Answers

The answer to the question

Find the missing value for each rectangular prism. 1. Volume = 6 cu in Length = 3 in Width - 2 in Height = ____
2. Volume = 96 cu yd Length = ____ Width = 6 yd Height = 8yd
3. Volume = 125 cu ft Length = 5 ft Width = ____ Height = 5 ft

Answers