Determine the truth value of each of these statements if the domain of each variable consists of all real numbers.a) ∀x∃y(x2 = y)

Answers

Answer 1
Answer:

The statement ∀x∃y(x² = y) is true for all real numbers, as for each real number x, there exists a real number y such that x² = y.

How to determine the truth value of a statement?

The statement ∀x∃y(x² = y) is true as explained below:

For every real number x, there exists a real number y such that x² = y.

For example:

If x = 2, then y = 4 because 2² = 4.

If x = -3, then y = 9 because (-3)² = 9.

Since you can always find a real number y that satisfies the equation x² = y for any real number x, the statement is true for all real numbers in its domain.

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Answer 2
Answer:

The statement is true. If x and y are both real numbers, the statement is:

"for every x, there exist y such that x^2=y"

This is true, because you can pick any real number, square it, and obtain another real number, y. The relation is not surjective, i.e. we will not use all possible values for y, but it doesn't matter. The statement is only asking to find a value for x^2, which we can always do.


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What is x2 + 2x + 9 = 0

Answers

Answer:

x has no real solution

Step-by-step explanation:

Our equation is qudratic equation so the method we will follow to solve it is using the dicriminant :

  • Let Δ be the dicriminant
  • a=1
  • b=2
  • c=9
  • Δ= 2²-4*1*9 =4-36=-32
  • we notice that Δ≤0⇒x has no real solution

emanuel played a game where he got a point if he drew s red marble out of a bag and flipped a coin that landed on heads. what is the probability that he will get a point on his first turn​

Answers

Answer:

30%

Step-by-step explanation:

Write each decimal in figures.1) five hundred forty-four and four-tenths
2) three and twenty-five hundreds
3) twenty-five and one-tenth
4) fifty-two and seventy-six hundred
5) eight hundred seventy-two and one tenths

Answers

Step-by-step explanation:

1 544.4

2. 3.025

3. 25.1

4. 52.076

5. 872.1

for your information

1 tenth is equal to 0.1

1 hundredth is equal to 0.01

1 thousandth is equal to 0.001

Why is the following an equation? 4(52 − 1) = 96 A. It contains a variable. B. It contains parentheses. C. It contains more than one operation. D. It contains an equals sign.

Answers

Answer:

C.

Step-by-step explanation:

Thirty 7th graders were surveyed and asked their favorite sport. The results showed that 15 liked football, 7 liked baseball, 5 like basketball, and 3 like soccer. What generalization can not be made?Soccer is the least favorite sport.
Half of the students like football.
The students would prefer to play sports over going to school.
None of the students like tennis.

Answers

Answer:

C. The students would prefer to play sports over going to school

Step-by-step explanation:

Hope this helps :)

can u brainlist

James has $20.00 in his checking account. He goes to the bank and withdraws $20.00. How much money does James have in his account immediately after withdrawing the $20.00?

Answers

Answer:

$0.00

Step-by-step explanation:

$20.00-$20.00=$0.00