What is the determinant of A={-2 2 -5
{4 -1 -2 }
{ 1 3 -5

Answer:

Option a is "False".

Option b is "True".

Step-by-step explanation:

In point a:

Prove AB=BA

[tex]A=\left[\begin{array}{cc}1&2\\4&5\end{array}\right] \\\\B= \left[\begin{array}{cc}2&1\\8&5\end{array}\right][/tex]

Solve L.H.S part:

[tex]AB= \left[\begin{array}{cc}1&2\\4&5\end{array}\right] \times \left[\begin{array}{cc}2&1\\8&5\end{array}\right][/tex]

      [tex]= \left[\begin{array}{cc}2+16 &1+10\\8+40&4+25\end{array}\right]\\\\\\= \left[\begin{array}{cc}18 &11\\48&29\end{array}\right][/tex]

Solve R.H.S part:

[tex]BA= \left[\begin{array}{cc}2&1\\8&5\end{array}\right] \times \left[\begin{array}{cc}1&2\\4&5\end{array}\right][/tex]

      [tex]= \left[\begin{array}{cc}2+4 &4+5\\8+20&16+25\end{array}\right]\\ \\ \\= \left[\begin{array}{cc}6 &9\\28&41\end{array}\right][/tex]

So, [tex]AB \neq BA[/tex]

In point b:

[tex]A^{*} =A\\\\(Ak)^{*} =A^k[/tex]

if [tex]k= 1[/tex]it holds the trivially [tex]A^{*}=A ...........(1)[/tex]

by assuming that if it is true for [tex]k=n-1[/tex]

that is

[tex](A^{n-1})^{*}= A^{n-1}............(2) \\\\ if \ k=n\\\\\to (A^{n})^{*} = (A^{n-1} \cdot A^1)^{*} = A^{*}(A^{n-1})^{*} \\\\\to A(A)^{n-1}[/tex] use above equations

[tex]\to A^{n-1+1} \\\\ \to A^{n}[/tex]

that's why it is true.

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  0.78b

Step-by-step explanation:

The sale price will be ...

  b - 22% × b = b(1 -22%) = b(1 -0.22)

  = 0.78b . . . . single-term expression for sale price

With original price $249.99 and 15% off,

Final price: $212.49

Saved amount: $37.50

Answer:

nah

Step-by-step explanation:

asdddddddddddddddddddddddddddddddddddddddddddddd

Answer:

whats the other questions? that's what we need

Step-by-step explanation:

Answer:

yes you can because $63 is the answer for 2a so 2b would have to be a part of that so its going to help you solve it by you know the answer you just have to figure out how else to do it because you have to divide

Step-by-step explanation:

sorry if i got it wrong i don't really understand the question :(

Answer:

C) The amount of money in his lunch account

Step-by-step explanation:

Answer:

Then solution as long as n ≥ 56

Step-by-step explanation:

The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:

n*p₀ > 10

n*q₀ > 10

As  p₀ = 0,82      q₀ = 0,18       n  = 13      30     56    and  100

We test:

A) n = 13        n*q₀  =  13*0,18 = 2,34       2,34 < 10  

B) n = 30       n*q₀  =  30*0,18 = 5,4         5,4 < 10

C) n = 56       n*q₀  =  56 * 0,18 = 10,08

                      n*p₀  = 56 * 0,82 = 45,92

D) n = 100      n*q₀  = 18

                      n*p₀  = 82

If we test 55  we find that  55*0,18  =  9,9

Then solution as long as n ≥ 56

Answer:

Step-by-step explanation:

1. 20

2. 150

3. 56

4. 60

hope this helps. i am in algebra two so you can trust my answers. happy holidays and stay safe

Answer:

1/2 !

Step-by-step explanation:

Since it's going up, we know its positive, but if you use RISE/RUN, you would go up 1, then over two, from any point. That makes it 1/2! I went up from the y axis to the next point on the line. I hope that makes sense, but the answer is 1/2!

Have a nice day :D

Answer:

Yes, and if you divide x^3+3x^2-7x-21 with x+3 you will result in x^2-7

Step-by-step explanation:

Hope this helps

And I like your profile pic

The given polynomial is divisible by x+3 because f(-3)=0

So , the remainder is equal to 0

Her conclusion is correct.

Given :

Angie divides the polynomial function

[tex]f (x)=x^3+3x^2-7x-21[/tex] by (x+3)

Apply remainder theorem to check whether the remainder is equal to 0

If a polynomial p(x) is divisible by  (x-a), the remainder obtained is P(a)

x+3 is the divisor

Lets set the divisor =0 and solve for x

[tex]x+3=0\\x=-3[/tex]

Now we plug in -3 for x in given f(x) and see whether f(-3) =0

[tex]f (x)=x^3+3x^2-7x-21\\f (-3)=(-3)^3+3(-3)^2-7(-3)-21\\f(-3)=-27+27+21-21\\f(-3)=0[/tex]

So, f(-3)=0 and hence the remainder is 0

Her conclusion is correct

Learn more :  brainly.com/question/19908280

Answer:

48 in²

Step-by-step explanation:

if it's a right triangle you can multiply your sides like uts a rectangle and then divide it by 2. look at the triangle like its half a rectangle

                                                 Question # 14

Given the numbers

10     11     12     13     14     15     16     17     18     19     20

Let 'x' be the number

The condition breakdown:

I am less than 20.

I am more than 13.

I am less than 17.

Finally:

I am 4 more than 12

i.e. 12+4 = 16

Thus, the number is x = 16

                                               Question # 15

Part a)

Given the numbers

10     11     12     13     14     15     16     17     18     19     20

Let 'x' be the number

The condition breakdown:

I am more than 10.

I am less than 20.

I am more than 12.

I am less than 15.

As the numbers left after all the conditions are fulfilled are 13 and 14.

So, from the remaining number 13 and 14;

14 > 13

Thus, the number x = 14

Part b)

Drawing the number 14 in the place value:

          Chart

Tens                Ones

1                         4

Answer:

(a) Denise received $640.

(b) The total amount the bank charged Denise was £11

Step-by-step explanation:

Proportions and Percentages

The exchange rate between the American Dollar ($) and the British Pound(£) is $1.60= £1.

(a) Denise changed £400 into dollars. Applying the exchange rate:

£400 = 1.60*400 = $640

Denise received $640.

(b) To change the money, we need to add both fees the bank charged Denise:

A fixed amount of £3

2% of £400 = £8

The total amount the bank charged Denise was £11

Answer:

boooooooooomnhbhikbn

Step-by-step explanation:

Answer:

Yards Squared

Step-by-step explanation:

Because multiplication it ends up as squared yards!

Answer:

1.5 cookies per friend

Step-by-step explanation:

if you have 6 friends and 4 cookies you can divide the amount of cookies by the amount of people it ends up being 1.5 cookies per person

Answer:

SSS theorem

Step-by-step explanation:

SSS theorem

Answer:

so 3×2 is 839 and 828 equal to pie 111+×÷ equals for the equation is the awnser to 444 which is 344

Answer:

Answer: 75 milligrams

Step-by-step explanation:

The medication contains 5 milligrams/milliliter.

The patient is given 1 teaspoon of the medication 3 times a day. Since 1 teaspoon is approximately equal to 5 milliliters, then the patient takes 3*5 = 15 milliliters of the medication per day.

Each milliliter contains 5 milligrams, thus the patient receives 15*5 = 75 milligrams of medication per day.

Answer: 75 milligrams

Answer:

Please check the explanation.

Step-by-step explanation:

We know that

2)

Given the expression

f(x) = 3x + 4/3 x³ - 7

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

3)

Given the expression

g(x) =- 5x³ + x - 3/x

The given expression is NOT a polynomial as any term of a polynomial can not have exponent as -1.

For example, the term 3/x or 3x⁻¹ has negative exponent -1.

Thus, g(x) =- 5x³ + x - 3/x

4)

Given the expression

h(x) =x³√5 + x - 3

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

5)

Given the expression

k(x)=25x²-x³+x⁵

The given expression is a polynomial with a degree of 5 (highest power of any variable) and having 3 terms.

Answer:

Let Alina share be 2x and asking share be 5x

then, 2x+5x =210 dollars

7x =210 dollars

x=30 dollars

then share of Alina = 2x = 2 * 30 = 60 dollars

and share of asim= 5x = 5 * 30 = 150 dollars

Answer:

I hope the above pic will help you I have done it in word

I will always help you understanding your assingments

have a great day

#Captainpower:)

Answer:

c

Step-by-step explanation:

Answer:

it's "b"

Step-by-step explanation:

Step-by-step explanation:

REALLLYYY???!!!!!!

JK

thx 4 the points..

Answer:

te puedo responder pero debes hacer primero tu tarea

Step-by-step explanation: