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]
2 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]2 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
Y = -2(x + 5)(x + 1)<br> Set the factor (x + 5) = 0 and solve
Harrizon [31]

Answer: x=-5

Step-by-step explanation:

x+5=0 \implies x=-5

7 0
2 years ago
A chef buys a 1-gallon jug of milk for a cookie recipe. He first uses 1/4 of the milk. Then he uses 2/3 of the remaining milk. H
inn [45]

Answer:

1/12 of a jug is what is left

3 0
3 years ago
What is the minimum value of h(x)?<br> h(x) = (x - 5)^2 + 6
zlopas [31]

Answer:

see in pdf the solution is there.

Step-by-step explanation:

Download pdf
3 0
2 years ago
Can someone help me here<br><br> NONSENSE=REPORT​
lys-0071 [83]

\huge \qquad \sf \: Answer

Here we go ~

1. A circle can be named by their Centre, so here in the diagram it's :

  • Circle A

2. Name 4 radii :

Radii are the line segments that joins the centre and boundary of circle.

They are :

  • FA
  • GA
  • BA
  • CA

3. 2 Major arcs :

considering two points on a circle, and joining them forms a curve ( you can say part of circumference )

When we consider two points two arcs are formed and the arc with more length is known as Major Arc

That is :

  • Major arc ECF
  • Major arc BEC

4. A Semicircle :

Semicircle is special arc which is formed when two arcs formed by the points are equals to one another... it's also half the Perimeter of circle.

that is :

  • Arc CF is a Semicircle

5. 3 minor arcs :

The arc formed by two points having lesser length is known as minor arc.

that is :

  • Arc EF
  • Arc BG
  • Arc FG

6. 3 Central angles :

Central angles are angles formed by arcs on centre of the circle ~

that is :

  • Angle FAB
  • Angle BAC
  • Angle GAB

7. A diameter :

Diameter is a chord that passes through centre of the circle.

  • CF

8. Congruent Angles :

In the given figure, there are two equal/congruent angles that are ~

  • Angle BAG and Angle GAF

9. Adjacent arcs :

The arcs that have one common end point are known as Adjacent arcs ~

that are :

  • Arc FG and Arc GB

4 0
2 years ago
Read 2 more answers
Find the volume of the pyramid.
astraxan [27]
Okay , so first you need to know what volume is. Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance or shape occupies or contains. Volume is often quantified numerically using the SI derived unit,To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. so all you need to do is 9*9*12= 972/3 = 324 so the answer is b .
6 0
3 years ago
Read 2 more answers
Other questions:
  • GRADUATING THIS WEEK NEED THIS ALL ANSWERED
    6·2 answers
  • Phythagoras was born about 582bc.issac Newton was born in 1643 ad .how many years apart were they born
    15·2 answers
  • Find the slope of the line whose equation is 5y = x - 3.<br><br> A.-3<br> B.-3/5<br> C.1/5<br> D.5
    5·2 answers
  • Which of the following is equal to the fraction below? (Apex)
    9·1 answer
  • Please help me as soon as possible No comments only the answer
    13·1 answer
  • A robot can complete 8 tasks in 5/6 hour.
    9·1 answer
  • Find the value of x.<br><br> 1/4x -2 ≥ 0
    5·1 answer
  • Mr. small has 5 crates of oranges which total of 182 1/2 lb. each crate contains an equal weight and no crate can exceed 35 lbs.
    11·1 answer
  • Please help ASAPppppppp
    14·2 answers
  • suppose the mean height for men is 70 inches with a standard deviation of 2 inches. What percentage of men are less than 74 inch
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!