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
hoa [83]
3 years ago
11

What is the leading coefficient of a third degree function that has an output of 221 when x=2, and has zeros of −15, 3i, and −3i

?
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer:

  1

Step-by-step explanation:

The function with the given zeros will factor as ...

  f(x) = a(x +15)(x^2 +9) . . . . with leading  coefficient 'a'

You have ...

  f(2) = 221 = a(2+15)(2^2+9) = a(17)(13) = 221a

Then a = 221/221 = 1

The leading coefficient is 1.

_____

<em>Additional comment</em>

As you know, a function with zero x=p has a factor of (x -p). The given zeros mean the function has factors (x -(-15)), (x -3i). and (x -(-3i)). The product of the last two factors is the difference of squares: (x^2 -(3i)^2) = (x^2 -(-9)) = (x^2 +9). This is how we arrived at the factorization shown above.

You might be interested in
Help me!! pls math question
Doss [256]

Answer:

a) 33

Step-by-step explanation:

triangle inequality theorem

- the sum of any two sides of a triangle must be greater than the third

7 0
3 years ago
Read 2 more answers
Which is greater 2/8 or 5/8
Radda [10]
2/8 is greater because 5/8 is lesss
7 0
3 years ago
Read 2 more answers
BRAINLIEST WILL BE GIVEN TO 1ST ANSWER THAT IS RIGHT
Anna [14]

The given info is sufficient to warrant the conclusion that both triangles are 45-45-90 triangles.

The measure of angle B is 45 degrees, or pi/4 radians.

The cosine of this angle B is 1/√2, or √(2)/2. This is approx. 0.707.

3 0
3 years ago
Read 2 more answers
What is the difference between 1089 and 4445​
Ad libitum [116K]

Answer:

If it is:

1,089-4,445= -3,356

but if it is the other way:

4,445-1,089= 3,356

Hope it helped!

5 0
3 years ago
Read 2 more answers
The table shown at the right gives y as a function of​ x, that​ is, y​f(x). Use the table to answer parts a through d below.
vovikov84 [41]

Step-by-step explanation:

Relations can be written as ordered pairs of numbers or as numbers in a table of values. By examining the inputs (x-coordinates) and outputs (y-coordinates), you can determine whether or not the relationship is a function. Remember, in a function, each input has only one output.

A function is a relationship where there is only one output for every input. In other words, for every value of x, there is only one value for y. A functioning rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.

The phrase "y is a function of x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ). If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .

7 0
2 years ago
Other questions:
  • Is there a solution too 4(b-1)=-4+4b
    11·2 answers
  • PLEASE HELP!
    5·2 answers
  • Find the slope of the line
    12·1 answer
  • Mark's Bikes rents bikes for $11 plus $2
    13·1 answer
  • Please Help Quickly!!!<br><br> If lim x--&gt; 4 f(x) = 5
    9·1 answer
  • in a game of tug of war your team changes -1 3/10 feet in position every 10 seconds. What is your change in position after 30 se
    11·1 answer
  • Pleaseeeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
    10·2 answers
  • What is the answer to 4^8/4^3 in 4^n form
    11·2 answers
  • If the composition of two functions is:
    10·1 answer
  • Caroline is tiling her bathroom floor. each tile is a square, with 25cm sides. The bathroom floor is in the same of rectangle,4.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!