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
Savatey [412]
3 years ago
10

Prove : the graphs of the function f(x)=x4 and g(x)=x3-x2 have aunique intersection point.

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Answer:

The unique intersection point for the given functions which is at x = 0.

The intersection point is (0,0)

Step-by-step explanation:

We are given the following information in the question.

f(x) = x^4\\g(x) = x^3-x^2

We have to find the intersection point.

Equating the two equations we get,

x^4 = x^3 - x^2\\x^4 - x^3 + x^2 = 0\\x^2(x^2-x +1) = 0\\x^2 =0, x^2-x +1 = 0\\x = 0, x = 0, x^2-x +1=0

Since the quadratic equation gives complex root, thus there is a unique intersection point for the given functions which is x = 0.

The attached image shows the graph for the given function.

The red line represent f(x) and blue line represent g(x).

The intersection point is (0,0)

You might be interested in
A cube has a volume of 64 cubic feet. The surface area of the cube is?
oee [108]

Answer:

The surface area is A≈96ft²

8 0
3 years ago
Read 2 more answers
The object is made of solid plastic . it is a cylinder with indentation at the top in the shape of the cone 0.7 in 8in 4in on th
marissa [1.9K]

Answer:

its D)

Step-by-step explanation:

6 0
3 years ago
Start: 8:49pm. finish: 9:17 what is the answer calculate the duration​
tatuchka [14]

Answer:

1 minute and 8 seconds or 1:08

Step-by-step explanation:

by subtracting both at starting with 9:17-8:49 you will get a uneven decimal than you gonna have to give as much 60 seconds you can get out of it the 60 seconds equals a minute

8 0
3 years ago
What is the answer to: 20*5 thank you very much
Digiron [165]
20 times 5 is 100. We can multiply 2*5 and get 10, then add another zero to make it easier. 
3 0
3 years ago
97% of 400 is what number
love history [14]
400/1 times  97/100 = <span>38800/100 = 388

</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • What are the coordinates of the point that is 1/6 of the way from A(14, −1) to B(−4, 23)?
    13·2 answers
  • Sarah and her friends laid down two beach blankets. The blankets are the same length but of different widths. The distributive p
    14·1 answer
  • You need to order carpet for a room that has a length that is twice its width. if the area of the room is 450, find the width of
    15·1 answer
  • A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li
    10·1 answer
  • I'm doing some maths homework and need some help. It's Pythagorean
    6·2 answers
  • Frank has a batting average of .330. Write this decimal as a fraction in simplest form
    8·2 answers
  • Which piecewise function below represents the function f(x)=x?(Only have 2 hours to answer)
    6·1 answer
  • Find the area of the shaded region
    6·1 answer
  • Nancy's car travels 300 miles on 12 gallons of gas. How many gallons of gas will she need in order to drive 650 miles?
    12·1 answer
  • I need help, i have a quiz on it soon.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!