1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hoa [83]
2 years ago
7

Will give BRAINLEST :)

Mathematics
1 answer:
DiKsa [7]2 years ago
3 0

Answer:

A

Step-by-step explanation:

This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.

g + t + k = 90

g + 2t - k = 55

-g - t + 3k = 30

Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.

g + t + k = 90

-g - t + 3k = 30

____________

0 + 0 + 4k = 120

4k = 120

k = 30

No you can plug this into the first two equations

g + t + (30) = 90

g + t = 60

and

g + 2t - (30) = 55

g + 2t = 85

now use elimination again by multiplying the first equation by -1

g + 2t = 85

-g - t = -60

_________

0 + t = 25

t = 25

Now plug those both back into one of the equations. I'll just do the first one.

g + (25) + (30) = 90

g = 35

Therefore, we know that Ted spent the least amount of time on the computer.

The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.

You might be interested in
Can anyone please help me with this? i need a step by step explanation please! very appreciated:)
EastWind [94]

Answer:

Step-by-step explanation:

x and y are variables. That means they represent numbers that are unknown. When we solve for x or y, we are trying to find what number the variable represents.

Y is a number that equals both 5x-9 and 3x+7. If it is a number, it can only have one value, so we can say that 5x-9 and 3x+7 have the same value.

In other words, 5x-9 = 3x+7.

Another way of thinking about this step is substitution. y=3x+7, so in the equation y=5x-9, we can replace the y with 3x+7. It will give 3x+7 = 5x-9.

In either case, we have this new equation

5x-9 = 3x+7.

From here it's just simple algebra- subtract 3x from each side

2x -9 = 7

and add 9 to each side

2x = 16

and divide each side by 2.

x = 8.

All these steps work because if two things equal each other, when you do the same thing to both of them (such as add 9), the new values will still equal each other.

Now that we know that x = 8, we can take one of the original equations

y=5x-9

and put 8 in for x.

y=5*(8) -9.

If x represents the value 8, we can obviously switch out x for 8.

Now simplify

y=40 -9

y = 31

Now we know that x = 8 and y = 31.

5 0
2 years ago
Read 2 more answers
Find the thirtieth term of the following sequence.
Nikolay [14]
You are adding 2 each time.

You are trying to find the 30th term, in which 4 are shown. 

Subtract 4 from 30

30 - 4 = 26

Multiply 26 with 2

26 x 2 = 52

Add 52 to the last number given (0)

0 + 52 = 52

52 is your answer

hope this helps
4 0
3 years ago
PLZ HELP!!!!!!!!! AAAAAAAAAAAA
blagie [28]

Answer:

15) 20.4

16) 40.4

17) 2.5

18) 32

Step-by-step explanation:

15) Use the calculator: 42.7/11.1*5.3

16) Use the calculator: 121.1/3

17) Use the calculator: 32.5/ (42.9/3.3)

18) 28.8/ (1.8/2)

3 0
3 years ago
Read 2 more answers
Which of the following expressions can be factored by grouping? (Select all that apply.)
Greeley [361]

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

  = a(a - 9) + 7b(a + 9)

  Now we can not solve this problem further.

  Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

   = a(3 + 4b) - 1(b - 12)

   We can't solve it further.

   Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

   = b(a + 6) - 2(a + 6)

   = (b - 2)(a + 6)

  We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

   = x²(x + 9) + 7(x + 9)

   = (x² + 7)(x + 9)

   Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

  = a(y² + 1) - 1(y² + 1)

  = (a - 1)(y² + 1)

  This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

3 0
3 years ago
Which function listed below represents a greater rate of change, and what is the slope of the function?
Flauer [41]

Answer:

B

Step-by-step explanation:

i cant explan for this quasion but i am not understand this quation

8 0
2 years ago
Other questions:
  • Simplify the expression.<br> (2.9)2 =
    12·2 answers
  • The annual rainfall (in inches) in a certain region is normally distributed with mean 43.2 and variance 20.8. Assume rainfall in
    8·2 answers
  • Which of the following is an equation of the line through (-4, 12) parallel to the line y= - 4x - 4?
    12·1 answer
  • H - 16 ≤ - 24
    13·1 answer
  • What is 2x-40y=73 and 7x+65y=332?
    10·2 answers
  • Please help!!<br>fully simplify<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B300%7D%2B%5Csqrt%7B27%7D-%5Csqrt%7B
    7·2 answers
  • -13+12p - 4 = 6(2p-1)​
    14·2 answers
  • What is the length of the altitude to the longest side of a triangle, if the lengths
    8·1 answer
  • en un colegio mixto hay x estudiantes distribuidos en c cursos. Si hay m niños por curso, ¿Cuantas niñas hay en el colegio?
    9·1 answer
  • Can y’all please help, it’s gradpoint. 30 points and brainliest with explanation ! :(
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!