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
vagabundo [1.1K]
3 years ago
15

If $f(x)$ is a polynomial of degree 3, and $g(x)$ is a polynomial of degree 5, then what is the degree of polynomial $2f(x) + 4g

(x)$?
Mathematics
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

Degree 5

Step-by-step explanation:

Given

Degree of f(x) = 3

Degree of g(x) = 5

Required

Degree of 2f(x) + 4g(x)

<h2>Analyzing both polynomials</h2><h3>f(x)</h3>

2f(x) means 2 * f(x)

Since 2 is a constant

Multiplying f(x) by 2 will result in a polynomial with a degree of 3

Hence 2f(x) has a degree of 3

<h3 /><h3>g(x)</h3>

4g(x) means 4 * g(x)

Since 4 is also a constant

Multiplying g(x) by 4 will result in a polynomial with a degree of 5

Hence 4g(x) has a degree of 5

Having said that;

When 2 polynomials of different degrees are added together, the degree of the result will be the higher degree of both polynomials;

This means that;

Adding a polynomial of degree 3 and another of degree 5 will result in a polynomial of degree 5

You might be interested in
Find the range for the function LaTeX: f\left(x\right)=-4x-3f ( x ) = − 4 x − 3, Domain={-17,-16,-8,12}
maksim [4K]
Ooooooooooooooooooooooooooooooo
6 0
3 years ago
How do you do this i am lost
Jet001 [13]

Answer:

The solution is (-2, 4)

Step-by-step explanation:

When finding the solution of system of equations, you need to find where both lines intersect.

In the graph shown, the light purple and dark purple line meet at (-2, 4).

Hope this helps!!

8 0
3 years ago
While waiting for a video game to download, you notice that 30% of 32,000 kilobytes have been downloaded so far.
kirill [66]
9600 kilobytes...
30 x 32000 divided by 100 = 9600
hope this helps!
8 0
3 years ago
Read 2 more answers
What is the initial value of the equation shown?
hodyreva [135]
C. −6, is the best option
7 0
3 years ago
Read 2 more answers
Please help me. There are 25 students in Mrs. Benatar‘s class at the beginning of the school year, and the average number of sib
adelina 88 [10]

Answer: 3.19

Step-by-step explanation:

So to find the average I used a simple but pretty effective method

3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+8/26=3.1923

So the new average is 3.19

8 0
3 years ago
Other questions:
  • The area of a circle is 196 pi square inches. what is the exact length of the circle's radius?
    5·1 answer
  • I suck at fractions, can someone help me please
    6·2 answers
  • Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
    7·1 answer
  • Answer the following questions using always, sometimes, or never true.
    15·1 answer
  • PLEASE HELP!!!!!!!!!!!!!!
    14·1 answer
  • Solve each equation 6=1-2n+5
    9·1 answer
  • Results of a survey conducted in 15 large cities within the U.S. finds that the average commute time one way to/from work is 25.
    14·1 answer
  • In the equation below, solve for x:<br> a + 12x = m
    15·1 answer
  • What is the length of the hypotenuse
    14·2 answers
  • Describe what probability is and how it is used in the real world. Explain how to calculate probability of an event. Explain the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!