Solve the matrix equation AX=B for X.

Solve The Matrix Equation AX=B For X.

Answers

Answer 1

Answer:

I think this is the solution

Solve The Matrix Equation AX=B For X.
Answer 2

By calculating the inverse of matrix, X = [tex]\left[\begin{array}{ccc}0.5&2\\1.5&1\\\end{array}\right][/tex].

What is inverse of matrix?

The inverse of matrix is another matrix, which on multiplying with the given matrix gives the multiplicative identity.

[tex]A = \left[\begin{array}{ccc}3&1\\4&2\end{array}\right] \\\\B = \left[\begin{array}{ccc}3&7\\5&10\end{array}\right] \\\\AX = B\\\\X = A^{-1}B\\ \\A^{-1} = adjA/|A| = \left[\begin{array}{ccc}1&-0.5\\-2&1.5\end{array}\right] \\\\X = \left[\begin{array}{ccc}0.5&2\\1.5&1\end{array}\right][/tex]

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Related Questions

find the value of 5^-3 x 2^-1

Answers

Answer:

Step-by-step explanation:

5^-3 = 1/(5*5*5) = 1/125

2^-1 = 1/2

1/125 * 1/2 = 1/250

That could be the answer

So could 0.004

A scientist teacher murdered $3980 worth of microscopes and dissension kits for the new science lab a total of 38 microscopes and 47 dissension kids were ordered a microscope cost four times as much as a Ascension kit write a system of linear equations that represents the situation what is the cost of each item

Answers

Answer:

dang

Step-by-step explanation:

._.

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C=0.3X^2+8,000. How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 70 UNITS?


Costs are ___ at the rate of $___ per month at this production level.

Answers

Answer:

Costs are changing at the rate of $588 per month at this production level.

Step-by-step explanation:

From the question, we have:

C = 0.3X^2 + 8,000 ........................ (1)

Differentiating equation (1) with respect to time, t, we have:

dC/dt = (0.3 * 2) X (dX/dt)....................... (2)

Where;

X = 70

dX/dt = 14

Substituting this into equation (2), we have:

dC/dt = (0.3 * 2) * 70 * 14

dC/dt = 588

This implies that costs are changing at the rate of $588 per month at this production level.

The sum of 2 times p and 2 is 48. What is p?

Answers

Answer:

p = 23

Step-by-step explanation:

2p + 2 = 48

    -2        -2

2p = 46

/2     /2

p = 23

Hope this helps and I hope u have an Amazing day!!

Multiple choice! Pls help :) i really need help!

Answers

Answer:

A and D

Step-by-step explanation:

which relations represent functions?​

Answers

The first one and the third one represents a function beside each input has one output.

Can someone help pls !

Answers

Answer:

(B). [tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]

Step-by-step explanation:

12x - 13y = 7

17x - 22y = - 51

A = [tex]\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right][/tex]

[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right][/tex]

[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]

For any positive number b not equal to 1 and any number or variable n, evaluate the following expression. log.(b") = O A. no O B. n O c. b Б OD. "​

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Find g(-7) for g(x) = -8x+1

Answers

Answer:

Step-by-step explanation:

if we have g(x)=- 8x+1

we will replace x with -7

g(-7)=56+1=57

Write an recursive rule for the sequence 7,14,21,28

Answers

+ 7 every time......

Multiply 1 by 5 152 x 61 =

Answers

Answer:

5

Step-by-step explanation:

1*5=5

what is the equation of the line through (2,-1) and (0,5)
A. y= -3x + 5
B. y= 3x - 5
C. y= -3x - 5
D. y= 3x + 5

Answers

The answer is d y=3x+5
The answer is a I think

What basic geometric shape is always created by an actual snowflakes?

Answers

Answer:

A regular hexagon. Search up pictures of snowflakes and you can see by the symmetry.

Answer:hexagon

Step-by-step explanation:

29. The population of Minnesota is about 5.577 million people. Write Minnesota's population in standard notation (as a number).​

Answers

Answer:

5,577,000

Step-by-step explanation:

Write the ratio as a fraction lowest terms 7 days to 13 days

Answers

Answer:

The answer is: [tex]\mathbf{Ratio \ as \ fraction =\frac{7}{13}}[/tex]

Step-by-step explanation:

We need to write ratio as a fraction lowest terms 7 days to 13 days

Ratio as fraction is written as: [tex]\frac{a}{b}[/tex] if we have a to b

So, in our case 7 days to 13 days

a= 7, b= 13

Writing ratio as fraction:

[tex]Ratio \ as \ fraction =\frac{7}{13}[/tex]

The fraction cannot be further simplified as already in lowest form so, the answer is: [tex]\mathbf{Ratio \ as \ fraction =\frac{7}{13}}[/tex]

3) 15x + 4 = 106


Can someone show me the steps ? Pls :)

Answers

1) Subtract 4 from both sides to get 15x = 102

2) Divide by 15 on both sides to get x = 6.8

Answer:

x=6.8

Step-by-step explanation:

15x + 4 = 106

subtract 4 from both sides

15x=102

divide both sides by 15

x=6.8

Select the correct answer.
Find the sum of 2 1/9 + (-2/9) + 3 5/9
OA. -5
OB. 5
OC. 5 2/9
OD. 5 4/9
O E. 5 5/9

Answers

Answer:

5 4/9

Step-by-step explanation:

Convert a mixed number 2 19

to a improper fraction: 2 1/9 = 2 19 = 2 · 9 + 19 = 18 + 19 = 199

To find new numerator:

a) Multiply the whole number 2 by the denominator 9. Whole number 2 equally 2 * 99 = 189

b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19

c) Write a previous answer (new numerator 19) over the denominator 9.

Two and one ninth is nineteen ninths

Add: 19

9+ (-29) = 19 + (-2)9= 179

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nineteen ninths plus minus two ninths = seventeen ninths.

Conversion a mixed number 3 59

to a improper fraction: 3 5/9 = 3 59= 3 · 9 + 59= 27 + 51 = 329

To find new numerator:

a) Multiply the whole number 3 by the denominator 9. Whole number 3 equally 3 * 99 = 279

b) Add the answer from previous step 27 to the numerator 5. New numerator is 27 + 5 = 32

c) Write a previous answer (new numerator 32) over the denominator 9.

Three and five ninths is thirty-two ninths

Add: the result of step No. 2 + 32

9= 179+ 329 = 17 + 329 = 499

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - seventeen ninths plus thirty-two ninths = forty-nine ninths.

Answer:

D. 5 4/9

I hope this helps

Hi!

Find the approximate area of the shaded region of the figure below.

Thank you!

(P.S, Please ignore the “Below” in the picture! Sorry!)

Answers

D

Radius of the circle is the length of rectangle divided by 2 (7cm)

Area of circle: pi*r²
Pi= 22/7

(22/7)*7²
=154

Since its a half circle, divide 154 by 2 =77

Area of rectangle:14*9=126

Subtract the circle from the rectangle: 126-77=49

Which of the following coordinate points have an x-value of 4? Select all that apply.
A) (2, 4)
B) (4, 5)
C) (4,0)
D) (4,3)

Answers

B, C, and D all have an x-value of 4.

Answer:

it b

Step-by-step explanation:

2/3 x 4/5 plz help me​

Answers

8/15 I believe I’m sorry if Its wrong :/

2 divided by 1/3 pls

Answers

Answer:

6

Step-by-step explanation:

2/ 1/3= 6

Answer:

= 6

Step-by-step explanation:

you can do the keep, switch, flip strategy

keep 2/1, switch division to multiplication, and flip 1/3 to 3

2 x 3 = 6

Some marbles in a bag are red and the rest are blue. If one red marble is removed,
then one-seventh of the remaining marbles are red. If two blue marbles are removed
instead of one red, then one-fifth of the remaining marbles are red. How many
marbles were in the bag original

Pls give EXPLANATION

Answers

Answer:

22

Step-by-step explanation:

Let r be red and b be blue

1/7(r-1+b)=r-1

1/5(r+b-2)=r

r-1+b=7(r-1)

r+b-2=5r

r-1+b=7r-7

1=7r-7-5r

8=2r

r=4

1/5(4+b-2)=4

2+b=20

b=18

18+4=22

please please help me!

Answers

Answer:

Option 4

Step-by-step explanation:

It has a negative slope of -[tex]\frac{1}{5}[/tex] (move down one and to the right 5)

sharice is putting jars of jam into boxes. she puts 8 jars into each box, and she has a total of 144 jars. sharice wants to know how many boxes she needs.

Answers

18 boxes that is how many boxes she will neee

she needs 18 boxes.

What is factoring?

A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.

Given

Based on the given conditions, formulate: 8 x = 144

Divide both sides of the equation by the coefficient of variable: x = 144/8 out the common factor: x = 18

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What is the value of 4+ y if y = 18?

Answers

Answer:

22

Step-by-step explanation:

4+18 = 22

the answer is 22 because 4+18 is 22

HURRY PLEASE?!
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 13 an ounce per second. Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 23 an ounce per second.

Below is a graph of this system.


After how many seconds do both Diego and Lin have the same amount of milkshake left?
[ Select ]

How many ounces do both Diego and Lin have left of their milkshakes at that point?
[ Select ]

Answers

Answer: 24 seconds

4 ounces

Answer:

24 seconds and 4 ounces

Step-by-step explanation:

The point where both lines meet is the point where they are both equal.

The point where both lines meet is (24,4)

Since the x-axis represents seconds the x-coordinate will represent the number of seconds it takes for them to be equal which is 24.

Since the y-axis represents ounces the y-coordinate will represent the number of ounces they have when they are equal which is 4.

will name brainiest please help thank u

Answers

Answer:

C

This was one of the questions on my test.


What is the midpoint of line segment
A (-3,-5)
B (1,-9)

start overline, A, B, end overline?

Answers

I think the answer is A
the midpoint of the segment is (-1,-7) hope this helped!!!

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.

Answers

Answer:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.  

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.  

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Answer:

Yes

Step-by-step explanation:

Divide 12.75 by 3 to get the amount Machine A makes in 1 minute, 4.25 ounces.

Divide 18 by 4 to get the amount Machine B makes in 1 minute, 4.5 ounces

Multiply 4.25 by 10 for a total from Machine A, 42.5 ounces.

Multiply 4.5 by 10 for a total from Machine B, 45 ounces.

Add 42.5 to 45 totalling 87.5

Eight 9-ounce bags require 72 ounces of popcorn. So if both Machines made a total of 87.5 ounces they would have enough popcorn.

There are 18 fish in a pond. 9 carp, 8 koi,
and 1 trout. what is the probability of picking a koi if you pick a fish at random?

Answers

Answer:18/5

Step-by-step explanation:

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