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GenaCL600 [577]
3 years ago
7

I need help on my math

Mathematics
2 answers:
bekas [8.4K]3 years ago
8 0
The answer is the second choice I believe
vova2212 [387]3 years ago
4 0
On that problem you were correct! K B E L D and J were the only people who did more push-ups!
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Solve the system of equations.
Xelga [282]

Answer:

  b.  x=1, y=2, z=3

Step-by-step explanation:

The system of equations ...

  • 3x +2y +z = 10
  • 9x -6y +z = 0
  • x -y -3z = -10

has solution (x, y, z) = (1, 2, 3) . . . . matches choice B.

_____

While it is convenient to solve this using a graphing calculator or web site, one can easily solve the system by hand.

Subtract the second equation from 3 times the first:

  3(3x +2y +z) -(9x -6y +z) = 3(10) -(0)

  12y + 2z = 30 . . . . simplify

Dividing this result by 2 gives ...

  6y +z = 15 . . . . . . [eq4]

Subtract 3 times the third equation from the first:

  (3x +2y +z) -3(x -y -3z) = (10) -3(-10)

  5y +10z = 40 . . . . simplify

  y + 2z = 8 . . . . . . . divide by 5 . . . . . [eq5]

The two equations [eq4] and [eq5] can be solved any of the ways you usually solve two equations in two variables. Here, we'll use the first equation to write an expression for z that we can substitute into the second equation.

  z = 15 -6y . . . . . subtract 6y from [eq4]

  y + 2(15 -6y) = 8 . . . . . substitute for z in [eq5]

  -11y +30 = 8 . . . . . simplify

  -11y = -22 . . . . . . . subtract 30

  y = 2 . . . . . . . . . . . divide by the coefficient of y

  z = 15 -6(2) = 3 . . . . substitute for y in our equation for z

Substituting these values for y and z into the third original equation gives ...

  x - 2 -3(3) = -10

  x -11 = -10 . . . . . . . . simplify

  x = 1 . . . . . . . . . . . . add 11

The solution to the above system of equations is (x, y, z) = (1, 2, 3).

_____

<em>Comment on the problem statement</em>

Math is generally unforgiving of imprecision. The given system of equations has no variable "z", and some other typos are apparently involved. That is why we rewrote the system to the equations shown above.

It is very easy to mistake z for 2, or g for 9, or o for 0, or 1 for 7. There are other confusions that are possible, as well. Letters I (eye) and l (ell) are easily confused, and may be confused with 1 (one) as well. Sometimes y and 4, or 4 and 9, can also be written so as to be difficult to tell apart. Great care must be taken when handwriting these symbols.

7 0
3 years ago
Does anyone know how to change their username for Brainly????? If so HELP!!!!!!!!!! Will give 20 points to anyone I really don't
Len [333]

Answer:

no I don't is it not in the user settings?

8 0
3 years ago
Read 2 more answers
How many times can 10 go into 44
Nitella [24]
4 times because if you count 10, 20, 30, 40, so it has to be 4
5 0
3 years ago
Read 2 more answers
1. Find the value of
spin [16.1K]

9514 1404 393

Answer:

  1. -√5
  2. 3/5
  3. -4/5

Step-by-step explanation:

The relevant relations are ...

  sec = ±√(tan² +1)

  cos = 1/sec

  csc = 1/sin = ±1/√(1 -cos²)

Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.

__

1. sec(θ) = -√((-2)² +1) = -√5

2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5

3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5

8 0
2 years ago
Marisa took a survey and discovered that 38 out of 152 students in the seventh grade at her school have more than one pet. What
mamaluj [8]

Answer:

<h3>25%</h3>

Step-by-step explanation:

Total number of student in the school = 152 students

Number of student that have more than one pet = 38

percentage of the students have more than one pet will be expressed as

% of student with more than 1 pet = number of student with more than one pet/total number of student * 100%

% of student with more than 1 pet = 38/152 * 100

% of student with more than 1 pet = 3800/152

% of student with more than 1 pet = 25%

Hence 25% of the students in the school have more than one pet.

3 0
2 years ago
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