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
Elina [12.6K]
3 years ago
6

A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, an

d a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?
Mathematics
2 answers:
klasskru [66]3 years ago
7 0

The answer is A for Edge

vitfil [10]3 years ago
4 0
Based on the given roots and their multiplicities, the function is made of the following factors:
f(x) = x (x + 3)^2 (x - 1) (x - 3)^2

The roots represent the point in the graph where they touch the x-axis. With the given condition that the function has a positive leading coefficient and is of even degree, the group of the function touches the x-axis at the roots and is curved upwards.
You might be interested in
A truck covers a distance of 150 km at a certain average speed and then covers another 200 km at an average speed which is 20 km
frosja888 [35]

Answer:

Since the speed can't be negative it was 60 km/h for the first stage and 80 km/h on the second stage, averaging 70 km/h for the whole course.

Step-by-step explanation:

The speed of the truck for the first stage of the route is "x" km/h, while on the second one it raises to "x + 20" km/h. The time it takes to complete each stage is shown below:

t_{stage 1} = \frac{150}{x}\\t_{stage 2} = \frac{200}{x + 20}

The sum of these times must be equal to the total time of the trip, therefore:

t_{stage1} + t_{stage2} = 5

\frac{150}{x} + \frac{200}{x + 20} = 5\\\frac{150*(x + 20) + 200*x}{x(x + 20)} = 5\\150*x + 3000 + 200*x = 5*x*(x + 20)\\5*x^2 + 100*x - 350*x - 3000 = 0\\5*x^2 - 250*x - 3000 = 0\\x^2 - 50*x - 600 = 0\\x_{1,2} = \frac{-(-50) \pm \sqrt{(-50)^2 - 4*1*(-600)}}{2*1}\\x_{1,2} = \frac{50\pm \sqrt{2500 + 2400}}{2}\\x_{1,2} = \frac{50\pm \sqrt{4900}}{2}\\x_{1,2} = \frac{50 \pm 70}{2}\\x_{1} = 60\\x_{2} = -10

Since the speed can't be negative it was 60 km/h for the first stage and 80 km/h on the second stage, averaging 70 km/h for the whole course.

6 0
3 years ago
On a coordinate plane, points are at (negative 5, 5), (0, 5), (0, negative 1), and (negative 5, negative 1).
cricket20 [7]

Answer:

22 feet

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
740,000=________ten thousands
sweet-ann [11.9K]
= 40 ten thousands.
3 0
2 years ago
Cuántas aristas tiene un cilindro​
Dominik [7]
Un cilindro tiene dos bordes
3 0
3 years ago
What is the answer for this question please
diamong [38]

Answer:

2.7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  •  Question Help When converting verbal statements into mathematical​ statements, the word​ "is" often translates into what mathem
    13·1 answer
  • 1 / ( √ 2 )^ 3 = 2^ n find n
    12·2 answers
  • Write 31/6 as a mixed number
    8·2 answers
  • A florist used the equation Y=KX to determine how many
    9·1 answer
  • Hi can u guy help me plz
    12·2 answers
  • At least 40 pounds of fertilizer is needed to adequately cover your backyard. Let f = the amount of fertilizer needed.
    12·1 answer
  • Rochelle picked 30 bags of apples on Monday and sold them at her fruit stand for $3.45 each.
    11·1 answer
  • Please help me, Thank you
    7·1 answer
  • 3. How
    5·1 answer
  • What is
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!