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Semenov [28]
3 years ago
13

HELP ME PLEASE!!!!

Mathematics
1 answer:
kykrilka [37]3 years ago
5 0

Answer:

option A

(1.5,1.2)

Step-by-step explanation:

Given in the question two equations

Equation 1

y = √x

Equation 2

y = x²- 1

Equate both equations

√x = x²- 1

<h3>1 method </h3><h3>by plotting graph</h3>

We can see from the graph that both meets when x =  1.5 and y = 1.2

<h3>2 method </h3>

we can plug the options given one by one to see which points satisfy

one thing we know is that x ≠ any negative value since

y = √x and square root of negative value is not possible

so option b and c are rejected

  option A

√1.5 = y = 1.2

1.5²- 1 = y = 1.2

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Use a truth table to show that P Qand (~PV Q) A (~QV P) are equivalen
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Answer:  The given logical equivalence is proved below.

Step-by-step explanation:  We are given to use truth tables to show the following logical equivalence :

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We know that

two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.

The truth table is as follows :

P     Q      ∼P     ∼Q     P⇔ Q    ∼P ∨ Q     ∼Q ∨ P        (∼P ∨ Q)∧(∼Q ∨ P)

T     T         F        F             T            T                   T                       T

T     F         F        T             F             F                   T                       F

F     T         T        F             F            T                   F                       F

F     F         T        T             T            T                   T                       T

Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.

Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).

8 0
4 years ago
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You can cross multiply
-11(-9) x *( 1)
99=1x
99=x
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3 years ago
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