Mathematics High School

Create a polynomial function in standard form with a leading coefficient of 2 and zeros at 0 1 and 3 brainly

Answers

Answer 1

Answer:

[tex]P(x) = 2x^3 - 8x^2 + 6x[/tex]

Step-by-step explanation:

Given

[tex]p =2[/tex] -- Leading coefficient

[tex]Zeros: 0, 1\ and\ 3[/tex]

Required

Determine the polynomial

Represent the zeros with a, b and c.

Such that

[tex]a = 0[/tex]

[tex]b = 1[/tex]

[tex]c = 3[/tex]

The polynomial is:

[tex]P(x) = p * (x - a) * (x - b) * (x - c)[/tex]

[tex]P(x) = 2 * (x - 0) * (x - 1) * (x - 3)[/tex]

[tex]P(x) = 2x * (x - 1) * (x - 3)[/tex]

Open bracket

[tex]P(x) = (2x^2 - 2x) * (x - 3)[/tex]

[tex]P(x) = 2x^3 - 6x^2 - 2x^2 + 6x[/tex]

[tex]P(x) = 2x^3 - 8x^2 + 6x[/tex]

Related Questions

help asap!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 sq un, and 9 sq un

Step-by-step explanation:

can someone help please ill give Brainlist ​

Answers

Answer:

-1/3

Step-by-step explanation:

The common difference is how much it goes up by with each new number, so you can see that each time it goes down by 1/3. This means that the common difference is -1/3.

in science class vicky did an experiment with an unknown soild. she started with 21 grams of the solid. During the experiment , the change in the mass of the solid was -4 grams. what was the final mass of the solid ?

Answers

Answer:

17 grams

Step-by-step explanation:

21grams-4=17grams

Answer:

17 grams

Step-by-step explanation:

Since the starting mass was 21 and the change was -4, you would do 21-4, which gives you 17 grams (or the final mass).

There are 107 coins in a jar, all dimes and nickels. The coins are worth $6.70. How many of each kind of
coin is in the jar?

Answers

d = number of dimes

n = number of nickels

The jar contains a total of 107 coins, so

d + n = 107

Each dime is worth $0.10 and each nickel is worth $0.05, and the jar contains a total value of $6.70, so

0.10d + 0.05n = 6.70

Multiply both sides of the second equation by 100 to eliminate the decimal points:

10d + 5n = 670

Multiply both sides of the first equation by -5:

-5d - 5n = -535

Add the corresponding sides of these two equations to eliminate n and solve for d :

(10d + 5n) + (-5d - 5n) = 670 + (-535)

(10 - 5)d + (5 - 5)n = 670 - 535

5d = 135

d = 135/5 = 27

Then

n = 107 - d = 80

so the jar contains 27 dimes and 80 nickels.

Tom's earnings vary directly with the number of hours he works. Suppose that he worked 9 hours yesterday and earned $126. How much will he earn today if he works 8 hours?

Answers

Answer: $112

hope this helped :)

the number of subscribers f(t) to a newspaper after t years is shown by the equation below f(t) = 75(.95)^t

Answers

The number of subscribers y to a newspaper after t years is shown by the equation , where 75 is the initial number of subscribers to a newspaper and t is the time period is years.
The above equation can be rewrite as
which is equivalent to the exponential decay function with rate r=0.05=5%
⇒ The number of subscribers to a newspaper decreased by 5% every year.

HELPPP PLEASEEEEE


Which graph shows the solution for the system of equations?
y = 5x +4
y = 5x - 2

Answers

The second one...maybe, honestly just needed points wait for someone else to anwser

Help me on this because I am so confused

Answers

I have no clue what the answer is but if it’s asking for a solution there is no solution because they don’t cross at any point.

a circular park has a circumference of 36 yd. find its diameter​

Answers

Answer:

412.53 inches

or

11.45916 yards

Step-by-step explanation:

Answer: 11.46yd

Step-by-step explanation:

The formula for the circumference is dπ.

So using the formula you would have to do the inverse so 36/π=11.46 (2 decimal places)

The endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?

A.
2 units

B.
7 units

C.
9 units

D.
12 units

Answers

Answer:

c. 9 units

Step-by-step explanation:

I want the answer fast plz

Answers

Answer:

y=-x/3+2

Step-by-step explanation:

If you graph out 3x-y-7=0, you will get a line that goes through the points (0, -7), and about (2.3, 0). If you graph out y=x/3+2, you have to make sure that this line forms a 90 degree angle on the previous line, thus making this line perpendicular to the previous line.

16x2-1
O A. (2x - 1)(8x - 1)
O B. (4x - 1)(4x + 1)
O C. (2x - 1)(8x + 1)
O D. (4x - 1)(4x - 1)
Help

Answers

Answer:

D is the answer  (4x - 1)(4x + 1)

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

What story does the graph tell about the turtle's
journey?
Need fast

Answers

Where’s the graph ??

х
4.8 ft
6.5 ft
3.8 ft
The illustration models a shadow cast by a palm tree and the shadow of an individual at 5 o'clock each day. To the nearest tenth,
how tall is the palm tree?

Answers

Answer:

8.2FT

Step-by-step explanation:

Answer:

The answers 8.2!!

Step-by-step explanation:

I just guessed on the usatestprep and got it lol

Two different counting numbers from 1 to 10 were randomly chosen. What is the probability that the larger one is a multiple of the smaller one?

Answers

Answer:

7/10

Step-by-step explana

7/10 was the answer

Answer:

7/10

Step-by-step explanation:

What is the quotient of 2.262 and 0.13? Select one: A. 11.5 B. 12.3 C. 15.9 D. 17.4

Answers

When it’s written the way it is, you divide 2.262 by 0.13, = 17.4

A rectangle has an area of 18 cm², with a perimeter of 18 cm. Find the length and breadth
of the rectangle​

Answers

Answer:

suppose length is x

breadth is y

now,

      x.y=18

      2(x+y)= 18

x= 3

y=6

Step-by-step explanation:

Mr. Burns organized the grades for 11 students in the boxplot below. None of the students earned the same grade. What percent of grades are between 79 and 84?

A. 100%

B. 25%

C. 50%

D. 75%​

Answers

Answer:

C

Step-by-step explanation:

Answer: 25%

Step-by-step explanation: Sorry this is late

What is the value of y in the parallelogram below?
5y"
654
O A. 110
O B. 60
O c. 13
D. 23

Answers

Answer:

D. 23

Step-by-step explanation:

5y = [360 - (65 x 2)] / 2

5y = [360 - 130] / 2

5y = 230 / 2

5y = 115

y = 23

Hope that helps!

Can someone please check if it’s correct??

Answers

Answer:

these both are ture

Step-by-step explanation:

I need help with this please

Answers

Answer:

polygons

Step-by-step explanation:

this is a hexagon so the sum of interior angles is 720. so add all of those angles and expressions and set it equal to 720. collect like terms and solve for x

once you have x, evaluate and get the exact angle measurements.

7. In a bay the time between high tide and low tide is approximately 6 hours. The first low tide is at 7 a.m. followed by a hide tide at 1 p.m. The depth of the water in the bay at low tide is 5 fathoms which rises to 9 fathoms at high tide. a) Sketch a graph of the depth of the water in the bay over time. Start your graph at 7 a.m. and graph at least on complete cycle. b) Write a function equation for your curve. Let t represent the number of hours after 7 a.m. c) How deep will the water be at 11 a.m?
​

Answers

THIS IS MS NEISES PLEASE SEE ME AFTER CLASS

THIS IS MS NEISES I AM REALLY MS NEISES

after a teacher handed out m packs of notebooks with c notebooks in each pack

Answers

I need more information maybe a picture or something

Answer:

M/C

Step-by-step explanation:

So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.The number of packs is m/c

Help please one more time -

Answers

Answer:

18.85

Step-by-step explanation:

If the midpoint of the line segment is AB has coordinates (3, -1) and A (-5,0) then:
B=​

Answers

the point b of line segment AB is (11,2)

What is the area of this shape?

A. 42 cm squared
B. 35 cm squared
C. 26 cm squared
D. 14 cm squared

Answers

Answer:

A. 42 cm²

Step-by-step explanation:

Rectangle Area: lw

Put the measurements into the expression

(7)(5)

7•5 = 35

Triangle Area: 1/2bh

1/2(7)(2)

1/2(14)

7

Add them together: 35 + 7 = 42 cm²

PLS HELP!!!!
Why are the x-values nonnegative ?

Answers

Answer:

Because the slope is going up and not down?

Step-by-step explanation:

Answer:

because the y -values is nonnegative so the x-values are the opposite of the y-values

QUICK PLEASE!!!
answer this question and show work or have an explanation.

Answers

Answer:

70

Step-by-step explanation: Triangle angle sum theorem states the interior angles of a triangle sum to 180 degrees. We know one angle is 40 degrees and the two remaining angles are equal in measure.

Since angle J and angle L are equal in measure we can substitute 2x for angles J and L into the equation.

40 + 2x = 180. Subtract 40 from both sides.

2x = 140. Divide both sides by 2.

X = 70

Which function is equivalent to y=3(x−2)^2+6?

y=3x^2−12x+30

y=3x^2+10

y=3x^2−4x+10

y=3x^2−12x+18

Answers

it would be the second one... y=3x^2+10

Please help
Find the are of the trapezoid given the following

Answers

9514 1404 393

Answer:

  A = 8x³ +4x² -4x

Step-by-step explanation:

Put the given values into the area formula and simplify.

  [tex]A=\dfrac{1}{2}h(b_1+b_2)\\\\A=\dfrac{1}{2}(4x)((x^2+2)+(3x^2+2x-4))\\\\A=(2x)(4x^2+2x-2)\\\\\boxed{A=8x^3+4x^2-4x}[/tex]

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