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
Ede4ka [16]
2 years ago
14

If the parent function is y=1/x describe the change in the equation y=5/x

Mathematics
1 answer:
Misha Larkins [42]2 years ago
3 0
Vertical stretch by 5
You might be interested in
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
kodGreya [7K]

We're looking for a scalar function f(x,y) such that \nabla f(x,y)=\vec F(x,y). That is,

\dfrac{\partial f}{\partial x}=2x-6y

\dfrac{\partial f}{\partial y}=-6x+6y-7

Integrate the first equation with respect to x:

f(x,y)=x^2-6xy+g(y)

Differentiate with respect to y:

-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7

Integrate with respect to y:

g(y)=3y^2-7y+C

So \vec F is indeed conservative with the scalar potential function

f(x,y)=x^2-6xy+3y^2-7y+C

where C is an arbitrary constant.

6 0
2 years ago
A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

3 0
3 years ago
Marisa's car gets an average of 28 miles per gallon of gas. She plans to drive 200 miles today and 220 miles tomorrow. How many
nadezda [96]

Answer:

15

Step-by-step explanation:

Add the total of miles Marisa is going to drive; 200 + 220 = 420

Next, divide the total miles by the average miles Marisa can travel on one gallon of gas; 420 / 28 = 15

(Hope this helps!)

5 0
2 years ago
I-Ready
Alex Ar [27]

Answer:

23/7 or 3 2/7

Step-by-step explanation:

it might be the mixed number

4 0
2 years ago
What’s the probability of drawing one blue marble from a bag which contains 4 red marbles , 6 green marbles , 1 white marble and
Gemiola [76]

Answer:3/14

Step-by-step explanation:

The probability that it is a blue marble is 3 out of total marbles of 14

8 0
3 years ago
Other questions:
  • Conduct an Internet search for information on careers that require geometry. Make a list of professionals who routinely apply ge
    5·2 answers
  • HELP PLEASE!!!!!!!!!!!
    7·1 answer
  • A gallon of paint will cover 144 square feet of floor space. What are the dimensions of the largest square floor that the gallon
    11·1 answer
  • Which of the graphs below correctly use Kurshal's Algorithm to determine a minimum spanning tree?
    10·1 answer
  • Help with functions?
    10·1 answer
  • Vanessa wants to buy a new iPod that costs $239.25. She earns $7.25 per hour at work.
    6·1 answer
  • Microsoft Excel might be useful when establishing relationships involving vertex-edge graphs.
    7·2 answers
  • Find the measure of angle y. Round your answer to the nearest hundredth.
    6·2 answers
  • What is the volume of the composite figure? Don’t mind the 6 and 4 that was written with my handwriting.
    11·1 answer
  • Which of the following is not a quadratic function
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!