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konstantin123 [22]
3 years ago
11

Solve this quadratic equation using the quadratic formula. 3x2 + 5x + 1 = 0

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0
Solve for x over the real numbers:
3 x^2 + 5 x + 1 = 0
Hint: | Using the quadratic formula, solve for x.
x = (-5 ± sqrt(5^2 - 4×3))/(2×3) = (-5 ± sqrt(25 - 12))/6 = (-5 ± sqrt(13))/6:
Answer: x = (-5 + sqrt(13))/6 or x = (-5 - sqrt(13))/6
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Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a h
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Missing Part of Question

Explain which rules of inference are used in the above

Answer:

Universal instantiation, Modus ponens and Existential generalization

Step-by-step explanation:

Splitting the Statement into two, we have

"Doug knows how to write program is Java"

and

"Doug can get a high paying job"

Represent Doug with x. Then the statements is rewritten as

P(x) = "x knows how to write program is Java"

and

Q(x) = "x can get a high paying job"

In logic, A premise is a statement in an argument that provides reason or support for the conclusion.

So, Statement 1 can be written as

1. P(x) ---- Premise

Then, we have

2. Vx(P(x) --> Q(x)) -- Premise. This mean that P(x) for all values in the domain.

The universal instantiation of (2) leads to

3. P(Doug) --> Q(Doug)

The modus ponens of the above gives

4. Q(Doug)

The existential generalisation from above gives

5. ƎxQ(x)

Which means someone in this class can get a high paying job.

PS:

Universal Instantiation is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class; it is represented by VxP(x).

Existential Generalisation is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.

It is represented as ƎxP(x)

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3 years ago
After 2/3 of an hour, the tightrope walker has traveled 1/6 of a mile across Niagara Falls. How many miles will he have to trave
Jlenok [28]

Answer:

1/4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
BRAINLIEST FOR AN ACTUAL ANSWER
Andreyy89

Answer:

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Step-by-step explanation:

Example:  If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Note:  the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.

3 0
3 years ago
The school that Julia goes to is selling tickets to the annual dance competition. On the first day
ollegr [7]

We have a system of equations in two variables, namely, a and c. Use the substitution to find a and c.

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Since r is parallel to s,<br>determine the<br>measure x indicated<br>in the figure below​
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Answer:

x =s

Step-by-step explanation:

42 9 x 143 x r

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