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GrogVix [38]
2 years ago
15

f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 uni

ts downward.
Mathematics
1 answer:
Harman [31]2 years ago
8 0

Answer:

-7/(x-5) - 3

Step-by-step explanation:

First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.

Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.

Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.

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Solve.<br> +<br> Х<br> )<br> =<br> - 1/2 + ( 3/4 x 4/9)
gregori [183]

Steps to solve:

-1/2 + (3/4 * 4/9)

~Simplify

-1/2 + 14/36

~Simplify

-1/2 + 7/18

~Find common denominators

-9/18 + 7/18

~Add

-2/18 or -1/9

Best of Luck!

5 0
2 years ago
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What is the solution to the equation sqrt5X-7= sqrt3X+5?<br> x = 1<br> x = 6<br> x = 12<br> x = 24
IgorC [24]

Answer:

X=6

Steps are in the picture

4 0
3 years ago
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
In-s [12.5K]

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)

4 0
3 years ago
Maria, a biologist, is observing the growth pattern of a virus. She starts with 100 of the virus that grows at a rate of 10% per
Leni [432]
<h3>Answer: 985</h3>

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

Work Shown:

A = amount after t hours

P = initial amount = 100

r = growth rate in decimal form = 0.10

t = number of hours = 24

--------

A = P*(1+r)^t

A = 100(1+0.10)^24

A = 100*(1.10)^24

A = 100*9.84973267580762

A = 984.973267580762

A = 985

5 0
3 years ago
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Firlakuza [10]

Answer:

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Step-by-step explanation:

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