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
vesna_86 [32]
3 years ago
12

The domain for variables x and y is the set {1, 2, 3}. The table below gives the values of P(x, y) for every pair of elements fr

om the domain. For example, P(2, 3) = F because the value in row 2, column 3, is F. Select the statement that is false. P 1 2 3 1 T T T 2 T F F 3 F T F Group of answer choices ∀y∃xP(x,y) ∃y∀xP(x,y) ∀x∃yP(x,y) ∃x∀yP(x,y)
Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

Option B and C are correct answers.

Step-by-step explanation:

Option B and C are the correct options.

Option a is true since row 1 has all T.

so for X=1, P(x,y) is true for all y.

Option b is false since no column has all F.

Option C is false since no column has all F.

Option D is true since 1st row has all T.

hence option B and C are correct answers.

You might be interested in
Need help with this question
photoshop1234 [79]
y = 3/4 x + ( - 2)
4 0
2 years ago
Read 2 more answers
Use Cramer Rule to solve the following system: 8x−5y=70 and 9x+7y=3
nlexa [21]

Answer:

(x,y) = (5,-6)

Step-by-step explanation:

\underline{\textbf{Determinant of a matrix.}}\\\\\text{For a}~ 2 \times 2 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2\\b_1&b_2 \end{vmatrix} = a_1b_2 - a_2b_1\\\\\\\text{For a}~ 3 \times 3 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3 \end{vmatrix} = a_1\begin{vmatrix} b_2&b_3\\c_2&c_3 \end{vmatrix} - a_2 \begin{vmatrix} b_1&b_3\\c_1&c_3 \end{vmatrix}+ a_3 \begin{vmatrix} b_1&b_2\\c_1&c_2 \end{vmatrix}\\\\\\

                     ~~~~~~~~~~~~~~~~~~=a_1(b_2c_3-b_3c_2) -a_2(b_1c_3-b_3c_1) +a_3(b_1c_2-b_2c_1)

\underline{\textbf{Cramer's Rule to solve a system of two equations.}}\\\\\text{Consider the system of two equations:}\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_1x + b_1 y= c_1\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_2x +b_2 y = c_2\\\\\text{Here,}\\\\x = \dfrac{D_x}{D}= \dfrac{\begin{vmatrix} c_1&b_1\\c_2&b_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\\\ y= \dfrac{D_y}{D}= \dfrac{\begin{vmatrix} a_1&c_1\\a_2&c_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\

\underline{\textbf{Solution:}}\\\\~~~~~~~~~~~~~~~~~~~~~~~8x-5y = 70~~~~~~...(i)\\\\~~~~~~~~~~~~~~~~~~~~~~~9x +7y = 3~~~~~~~...(ii)\\\\\text{Applying Cramer's rule:}\\\\x = \dfrac{D_x}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 70& -5 \\3&7 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{70(7) -(-5)(3)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{490+15}{56+45}\\\\\\~~=\dfrac{505}{101}\\\\\\~~=5

y = \dfrac{D_y}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 8& 70 \\9&3 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{(8)(3) -(70)(9)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{24-630}{56+45}\\\\\\~~=-\dfrac{606}{101}\\\\\\~~=-6

\textbf{Hence, the solution to the system of equation is}~ (x,y) = (5,-6)

7 0
1 year ago
it takes Renaldo 8 hours to make 7 carvings. how many many hours will it take him to make 63 carvings?
OLEGan [10]
It will take 72 hours to make 63 carvings
5 0
2 years ago
Geometry help please show work due soon !
Thepotemich [5.8K]
R is 4 if I'm wrong sorry
4 0
3 years ago
Use the Law of Sines to find the length of AC
ddd [48]
<h3>Answer:  30.78181 meters</h3>

The value is approximate. Round that however you need to.

========================================================

Explanation:

  • lowercase a = side opposite angle uppercase A
  • lowercase b = side opposite angle uppercase B
  • b = AC

Using the law of sines, we can say:

a/sin(A) = b/sin(B)

45/sin(30) = b/sin(20)

b/sin(20) = 45/sin(30)

b = sin(20)*45/sin(30)

b = 30.78181 approximately

You'll need to make sure your calculator is in degree mode.

3 0
2 years ago
Other questions:
  • Which situation ONLY describes a purchase made with a debit card? A) Jackie loves using her card to make purchases because it is
    10·2 answers
  • A jar of peaches weighs 13 ounces. There are 16 jars in a crate. How many Ounces does a crate weigh?​
    14·2 answers
  • Which statements about opposites are true?
    8·1 answer
  • What is 2/5÷4 i need help on my khann
    8·2 answers
  • Which equation can be used to find 42 x 51?
    12·2 answers
  • the formula F=9/5C + 32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperatur
    14·1 answer
  • Maria purchased a prepaid phone card for $15. Long distance calls cost 9 cents a minute using this card. Maria used her card onl
    13·1 answer
  • You and your friends compare how many
    7·1 answer
  • Desde la parte más alta de un edificio a 25 m una persona lanza hacia la base un objeto de 150 g con una velocidad de 0.8 m por
    9·1 answer
  • How do you graph y = x + 2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!