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
Angelina_Jolie [31]
3 years ago
9

MATH HELP PLEASE 50 POINTS:

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

f(x)=-a(x+2)(2x-1)(x-3) where a>0.

To graph the the polynomial, begin in the left top of quadrant 2. Then draw downwards to the first real zero on the x-axis at -2. Cross the x-axis and then curve back up to 1/2 on the x-axis. Cross through again and curve back down to cross for the last time at 3 on the x-axis. The graph then ends going down towards the right in quadrant 4. It forms an s shape.

Step-by-step explanation:

The real zeros are the result of setting each factor of the polynomial to zero. By reversing this process, we find:

  • zero -2 is factor (x+2)
  • zero 1/2 is factor (2x-1)
  • zero 3 is factor (x-3)

We write them together with an unknown leading coefficient a which is negative so -a.

f(x)=-a(x+2)(2x-1)(x-3) where a>0

The leading coefficient of a polynomial determines the direction of the graph's end behavior.

  • A positive leading coefficient has the end behavior point up when an even degree and point opposite directions when an odd degree with the left down and the right up.
  • A negative leading coefficient has the end behavior point down when an even degree and point opposite directions when an odd degree with the left up and the right down.
  • This graph has all odd multiplicity. The graph will cross through the x-axis each time at its real zeros.

To graph the the polynomial, begin in the left top of quadrant 2. Then draw downwards to the first real zero on the x-axis at -2. Cross the x-axis and then curve back up to 1/2 on the x-axis. Cross through again and curve back down to cross for the last time at 3 on the x-axis. The graph then ends going down towards the right in quadrant 4. It forms an s shape.

You might be interested in
The average of 3,15, and my number is 40. What is my number?
mylen [45]

Answer:

Your number is 102.

120/3=40 (3 numbers so divide by 3)

3+15=18

120-18=102

8 0
3 years ago
A manager wants to determine if an employee training program has increased her employees’ customer satisfaction ratings. She ran
lubasha [3.4K]

Answer:

A

Step-by-step explanation:

  • The answer should be A
  • I hope that's ok if I am wrong pls correct me

6 0
2 years ago
Which equation is correct?
andrey2020 [161]

Answer:

last one is correct because it is opposite over hypotense

6 0
3 years ago
Read 2 more answers
Please someone help and stop giving me links!!! No false answers!! Explanation
enyata [817]
Use the internet it helps a lot
7 0
3 years ago
Find the gradient of the line segment between the points (0,2) and (-2,10).​
Tasya [4]

Answer:

-4

Step-by-step explanation:

Find the gradient of the line segment between the points (0,2) and (-2,10).​

Given data

x1= 0

x2= -2

y1= 2

y2=10

The expression for the gradient is given as

M= y2-y1/x2-x1

substitute

M= 10-2/-2-0

M= 8/-2

m= -4

Hence the gradient is -4

5 0
3 years ago
Other questions:
  • Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?
    9·1 answer
  • Express the number as a ratio of integers. 3.469 = 3.469469469
    10·1 answer
  • A ferry is travelling at a constant speed back to the dock, as shown in the graph. Which
    12·1 answer
  • If a car moves 640 miles in 11 hours what is the average rate of the car?
    10·2 answers
  • Leslie’s driveway is 45 meters long. About how many yards long is Leslie’s driveway?
    13·1 answer
  • Define function *it’s for math pls help asap*
    15·1 answer
  • The diagram represents a difference of squares.
    11·2 answers
  • He access code for a​ car's security system consists of four digits. the first digit cannot be 8 and the last digit must be even
    5·1 answer
  • a person on a moving sidewalk travels 24 feet in 7 seconds. the moving sidewalk has a length of 180 feet. How long will it take
    11·1 answer
  • Identify whether the given numbers belongs to the given set. Natural Numbers Whole Numbers Integers Rational Numbers − 11 2.45 1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!