Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.

f(x) = (x-b)(x-c)^2(x-d)^3

Consider The Graph Of The Sixth Degree Polynomial F. Replace The Values B, C And D To Write Function

Answers

Answer 1

Answer:

f(x) = (x - 2)(x + 1)²(x - 4)³

Step-by-step explanation:

Multiplicity of a polynomial:

1). If the multiplicity is odd, the graph will cross the x-axis at that zero.

2). If the multiplicity is even, the graph will touch the x-axis at that zero.

Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.

Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.

So, the function will be,

f(x) = (x - 2)(x + 1)²(x - 4)³

Answer 2

Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3

Step-by-step explanation:

Consider The Graph Of The Sixth Degree Polynomial F. Replace The Values B, C And D To Write Function

Related Questions

Will mark brainliest if correct!!!
Evaluate 8a + 3b - 10 + c² when a = 2, b = 5, and c = 4.

Answers

Answer:

37

Step-by-step explanation:

8(2)+3(5)-10+c^2=37

Complete the equation.
X 2 = 2 x 10

Answers

Answer:

2√5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

10x2=20

20x2=40

Which statement represents the parallel postulate in Euclidean geometry, but not elliptical or spherical geometry?

1 .Through a given point not on a line, there exists no lines parallel to the given line through the given point.

2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

3.Through a given point not on a line, there exists more than one line parallel to the given line through the given point.

4.Through a given point not on a line, there exists exactly three lines parallel to the given line through the given point.

Answers

Answer:

2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

Step-by-step explanation:

The object of "Euclidean geometry" (more commonly called "plane geometry") is, in principle, the study of the shapes and properties of natural bodies. However, geometry is not an experimental science since its object is not to study certain aspects of nature but a necessarily arbitrary reproduction of it.

After the definitions, Euclid then poses his famous postulates (his requests), the fifth of which has remained Euclid's postulate, often called axiom (or postulate) of parallels and which was the subject of much research and controversy as to its necessity:

Given two points A and B, there exists a line passing through A and B. Any segment [AB] can be extended into a straight line passing through A and B. For any point A and any point B distinct from A, we can describe a circle with centre A passing through B. The whole right angles are always equal to each other. By a point outside a line, we can draw a parallel and only one to this line.

From the above explanation, we could deduce that the correct option is Option 2.

Answer:

The answer is B, Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

Step-by-step explanation:

The data in the table were recorded during an investigation in which a paramecium was placed in a hypertonic salt solution.

A 2-column table labeled Paramecium Contractile Vacuole Contractions has 5 rows. The first column is labeled salt concentration outside paramecium with entries very high, high, medium, low, very low. The second column is labeled contractions per minute with entries 2, 8, 15, 22, 30.

Which statement correctly describes the bars on a bar graph representing the data?

Answers

Answer:

B. Line graph

Step-by-step explanation:

got it right on edge :) have a nice day!!

HURRY PLS You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute
deviation of at most 5 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.
Race times (minutes)
74 65 57 62
63 72 78 58
60 70 68 62

Answers

I think it’s 74 but I’m not so sure

10 POINTS
Find intercepts and interpret their meaning.
Assignment

What is the x-intercept?

Answers

Answer:

-4

Step-by-step explanation:

The x- intercept is -4 because it is where the line crosses the x-axis.

-4
Step by step explanation

Calculate the distances from the origin to points A(11, –2, –6) and B(–3, 7, –5). Round to the nearest tenth. The distance from the origin to point A is units. The distance from the origin to point B is units. Now determine how much farther from the origin point A is than point B. Round to the nearest tenth. Point A is units farther from the origin than point B.

Answers

Answer:

Step-by-step explanation:

A(11, –2, –6) and B(–3, 7, –5) are located away from the origin (0,0,0), the points from the origin to this points is expressed as OB - OA where;

OB is the distance from the origin to the point B

OA is the distance from the origin to the point A

Using the formula for calculating distance between two points

OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²

OA = √(-6-0)²+(-2-0)²+(11-0)²

OA = √(-6)²+(-2)²+(11)²

OA = √36+4+121

OA = √161

OA = 12.688

Similarly;

OB = √(-5-0)²+(7-0)²+(-3-0)²

OA = √(-5)²+(7)²+(-3)²

OA = √25+49+9

OA = √83

OA = 9.110

Distance from the origin to the points = 12.688 - 9.110 = 3.577

Distance from the origin to the points  ≈ 3.6 (to the nearest tenth)

Answer:

The distance from the origin to point A is 12.7 units.

The distance from the origin to point B is 9.1 units.

Point A is 3.6 units farther from the origin than point B.

Margie order 120 pizzas for the school pizza party one tenth of the pizzas were cheese how many cheese pizzas she ordered

Answers

Answer:

12

Step-by-step explanation:

Hope This Helps!

20 points!!
(5x-19)^2 < (x-23)^2
please someone help me with this inequality :c​

Answers

Answer:

[tex]x (-1,7)[/tex]

Step-by-step explanation:

We need to square a binomial.

The following rule is applied:

[tex](5x)^2+2*5x(-19)+(-19)^2<x^2+2x(-23)+(-23)^2[/tex]

In our example,

[tex]A^2+2AB+B^2=(A+B)^2[/tex]

   A is equal to 5x,

    B is equal to -19 and

   N is equal to 2.

[tex]5^2*x^2-2*5x*19+19^2<x^2x-23+23^2[/tex]

How many real solutions are in the equation 8-4x=0

Answers

Answer:
one real solution
Step-by-step explanation:
8-4x=0
Add 4x to each side
8 = 4x
Divide by 4
8/4 = 4x/4
2 =x
There is one real solution
One real solution as they said ^

Examples:
2=2 - infinite solutions
X=2 - one solution ( variable=number)
0=2 - no solutions

I’m clueless! Can someone explain how to do this question step by step? Thanks! Extra points!! What is the average (arithmetic mean) of 4x + 5, 7x-6, and -8x+2?

Answers

Answer:

x+ 1/3 is the average

Step-by-step explanation:

To find the mean, add the terms together and then divide by the number of terms.  There are 3 terms

(4x + 5+ 7x-6 + -8x+2)/3

Combine like terms

( 3x+1)/3

x+ 1/3 is the average

Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.

Answers

Answer:

$42 per hour

Step-by-step explanation:

Well,

She got $504 in total

8 + 4 = 12 (the total number of hours worked)

To find out how much she earned per hour you'll need to divide.

$504 ÷ 12

which equals $42

Answer:

Maria earned $42 per hour.

Step-by-step explanation:

First, we need to add the total amount of hours she worked.

8 + 4 = 12

Next, we need to divide 504 and 12 to see how much she earned per hour.

504 ÷ 12 = 42.

So, Maria earned $42 per hour.

I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)

Please help I really need it​

Answers

Answer: m< MIH is 34°

M< AVM is 70°

And the angle of the obtuse angle formed at the intersection of AV and HI is 104°

Step-by-step explanation: starting with m<MIH, AH is parallel to MI, so that would make the same angle H has the same for I. (34°)

Next is m<AVM. The angle of m<LAH is 110°. So the angle of m<HAV (because it's supplementary of it) is 70 (110+70=180). Which makes m<AVM 70° since it's vertical to each other.

Since we got those answers, the next one you just plug it in, and the answer would be 104°

i am too unmotivated to do any math even if its easy please help :)

Answers

Answer:

40% increase

Step-by-step explanation:

First, find the difference:

161-115=46

Then divide by the past price to get the percent increase:

46/115=.4=40%

A race is 20 miles long . There is water station every 1 1/4 miles along the race route. How many water stations are needed for this race ?

Answers

Answer:

16

Step-by-step explanation:

just divide 20 by 1  1/4

20 divided by 1 1/4 is 16

Find the distance between the two points in simplest radical form.
n.
(6, -9) and (1,3)
Help?

Answers

[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given to points to us are :-

( 6 , -9)( 1 , 3 )

Now , we can use Distance Formula , which is :-

[tex]\boxed{\purple{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}[/tex]

Here ,

x1 = 6 .x2 = 1.y1 = (-9)y2 = 3.

→ Substituting the respective values ,

⇒ Distance = √ [ ( 6 - 1)² + ( 3 +9)² ] .

⇒ Distance = √ 5² + 12²

⇒ Distance = √ 25 + 144

⇒ Distance = √ 169 .

⇒ Distance = 13 units .

Hence the distance between two points is 13u.

The volume of a pyramid, V, is calculated using the formula V = 1/3AH, where A is the area of the base and
H is the height of the pyramid.

What is the base area of a pyramid with a volume of 72 m3 and A height of 12m?

Answers

Answer:

Step-by-step explanation:

V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Answer:

rearranged foruma: V3/H

base area:

A=18m^2

Step-by-step explanation:

Determine the percentage of increase/decrease of the following exponential equation.
y = 4(1.75)x

Answers

7 percent increase.

Two different linear functions are shown below with two points given from each function Use slope-intercept form Function A has The equation of line A is or point-slope form to find the equation of each.

Linear Function A

Points : (-5, -2), (-5, 7)

Linear Function B

Points : (7, -5), (-2, -5)

Which is true about the following:

1. Function A has...

A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope

2. The equation of line A is :

A: X= -5
B: Y= -5
C: X= -2
D Y= 7

Function B has...

A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope

The equation of Line B is :

A: X= -5
B: Y= -5
C: X= -2
D: Y= 7

Answers

Answer:

This answer is option 1

Step-by-step explanation:

The awnser is No slope,x=-5,A slope of 0,and y=-5

convert 8/3 to a mixed number​

Answers

Answer:  2 & 2/3

============================================

Work Shown:

8/3 = (6+2)/3

8/3 = 6/3 + 2/3

8/3 = 2 + 2/3

8/3 = 2 & 2/3

The whole part is 2. The fractional part is 2/3.

-----------

Another way you could do the problem is to use long division as shown in the diagram below.

The result of the long division is

8/3 = 2 remainder 2

The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.

So that's another way to get 2 & 2/3

​ Select all the ratios that represent unit rates.
A.
7 days
1 book

B.
15 gallons
350 miles

C.
1 year
$30,000

D.
1 minute
90 words

E.
5 students
5 teachers

Answers

Answer:

The answers to this problem are B, D, and A.

Step-by-step explanation:

I just did the problem. I always get 100% on these quizzes.

If the equation 9y2 + 6ky + 4 = 0 has equal roots, then the value of k a) ±1 b) ±2 c) ±3 d) ±4 ​

Answers

Given:

• The equation 9y² + 6ky + 4= 0 has equal roots .

To find :

• The value of k.

Solution:

• As we know that , For equal roots :

• Discriminant must be equal to zero.

D = b²- 4ac = 0

Here ,

a= 9 , b = 6k , and c = 4 .

=> b²-4ac= 0

=> (6k)² - 4 (9)(4)=0

=> 36k² - 144=0

=> 36k²= 144

=> k²= 144/36

=> k²= 4

=> k = ±2.

Hence ,the option b is correct .

I hope it will help you.

Regards.

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

D

Step-by-step explanation:

The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
How many times bigger is Neptune than Earth?
Give your answer in standard form to the nearest whole number.

Answers

Neptune is about four times wider than Earth.

4x10^-6 + 6.8x10^7=

Answers

I typed it in a calculator and got 68,000,000, so just correct me if im wrong.

Amber is 11 years younger than Adrianna. The sum of their ages is 17. How old are Amber and
Adrianna?
Amber is
years old and Adrianna is
years old.

Answers

x+11 + x = 17

2x = 6

x =3

Amber is 3 years old and Adriana is 14 years old.

#2: Tell whether the function below is linear or exponential.
y = 4 • 2^x


Answers

O Linear
O Exponential

Answers

Answer:

Exponential

Step-by-step explanation:

For this question you need to understand what is a linear function and what is an exponential function.

Linear function is a function where any variable x,y,z has the power of maximum 1 for example

x+y=1

7x+2y=10

1000x+9999y=40000

The numbers look too big but its the same category as linear function because all the variable in the equation are to the power of 1

Whereas, An exponential function is a mathematical function of the following form: [tex]y=a^x[/tex] where x is a variable, and a is a constant called the base of the function. Most commonly exponential functions are involved with mathematical symbol [tex]e[/tex].

So in your question [tex]y=4.2^x[/tex] where x the variable has become the power/degree the fucntion is an exponential function.

Barry and Michael lifted and moved a television that weighed 45 pounds. About how much did the television weigh in kilograms? (1 pound ≈ 0.454 kilograms)

Answers

Answer:

I NEED HELP WITH THIS TWO

Step-by-step explanation:

? i need help two

help me I will give brainiest ​

Answers

Answer:

the first one is .... X = - 25/2

the second one is .... X= -3

Step-by-step explanation:

have a nice day!!!

Answer:

the second one is .... X= -3

But the other guy was wrong, the first one is -25/2 not -25/5

Step-by-step explanation:

"Sonia had band practice 2 _1/3 hours on Saturday and 1_3/4 hours on Monday. How many total
hours did she practice those two days? *

Answers

Answer:

3_5/6 hours

Step-by-step explanation:

2_ 1/3 = 2_ 4/12

1_3/4 = 1_6/12

2_4/12 + 1_6/12 = 3_10/12

3_10/12 = 3_5/6

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