A polynomial function has roots of -5,2 and 7

Answers

Answer 1

Answer:

P(x) =x³-4x²-31x+70

Step-by-step explanation:

The function is expressed as:

P(x) = (x+5)(x-2)(x-7)

P(x) =(x²-2x+5x-10)(x-7)

P(x) = (x²+3x-10)(x-7)

P(x) = x³-7x²+3x²-21x-10x+70

P(x) =x³-4x²-31x+70

Hence the polynomial is P(x) =x³-4x²-31x+70


Related Questions

Solve this quadratic equation by completing the square.

x^2 + 6x = 18

Answers

Step-by-step explanation:

Use formula

[tex] (\frac{b}{2} ) {}^{2} [/tex]

To add a third new term and factor to find the answer. Example

[tex]x {}^{2} + 6x = 18[/tex]

[tex]( \frac{6}{2} ) {}^{2} [/tex]

Which equal 9. so our equation look like

[tex] {x}^{2} + 6x + 9 = 18 + 9[/tex]

The only number that multiply to 9 and add up to 6 is 3. So we write our equation like this.

[tex](x + 3) {}^{2} = 27[/tex]

Take the sqr root of both sides

[tex]x + 3 = \sqrt{27} [/tex]

Subtract 3 from both sides

[tex]x = \sqrt{27} - 3[/tex]

Since a sqr root of a number can be positive or negative, the answer is

[tex] \sqrt{27} - 3[/tex]

or

[tex] - ( \sqrt{27} ) - 3[/tex]

27 deliveries in 3 hours = ___ deliveries per hour

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

27÷3=9

(hope this helps can i plz have brainlist :D hehe)

Someone please help me on this and show work I need help I’ll give brainliest

Answers

A.

F(10)= (10)^2-3(10)-5
F(10)=100-30-5
F(10)=65

B.

F(-3)=(-3)^2-3(-3)-5
F(-3)=9+9-5
F(-3)=13

C.

G(2)= -6(2)+1
G(2)= -12+1
G(2)=-11

D.

G(10)=-6(10)+1
G(10)= -60+1
G(10)= -59


Please please please help! Fast

Answers

2nd and 3rd ones! :)

¿cuántos metros tiene cada lado de un terreno cuadrado que tiene 2 hectáreas?

Ayuda!​

Answers

Answer:

2000 metros hola y de su comadre

I need help pls:) and if u need help just tell me

Answers

The answer is 28

84/3 =28

No question but can you help me with Finding PI lol I don’t really get it. I will mark brainliest 60 points 30 for each person that answers.

Answers

Answer:

Make sure you are using a perfect circle. This method won't work with ellipses, ovals or anything but a real circle. A circle is defined as all the points on a plane that are an equal distance from a single center point. The lids of jars are good household objects to use for this exercise.You should be able to calculate pi roughly because in order to get exact results of pi, you will need to ...

Measure the circumference of a circle as accurately as you can. The circumference is the length that goes around the entire edge of the circle. Since the circumference is round, it can be difficult to measure (that's why pi is so important). Lay a string over the circle as closely as you can. Mark the string off where it circles back around, and then measure the string length with a ruler.

Measure the diameter of the circle. The diameter runs from one side of the circle to the other through the circle's center point.

Use the formula. The circumference of a circle is found with the formula C= π*d = 2*π*r. Thus pi equals a circle's circumference divided by its diameter. Plug your numbers into a calculator: the result should be roughly 3.14.[3] X Research source

Repeat this process with several different circles, and then average the results.

Step-by-step explanation:

Answer:

To find the area of a circle the equation is pir^2

To find the circumference of a circle it is 2pir

The pictures show you visually what they look like

r=radius

If this answer helped you then please consider making this brainliest and thank this response :)

help,for,points and brainliest math easy math hi a b c d e f g h i j k l m n o p q r s t u v w s y and z

Answers

The answers are
D. 21
E. 30

125% of blank is 85

Answers

Answer:

68

125 percent (calculated percentage %) of what number equals 85? Answer: 68.

Answer:

68

Step-by-step explanation:

First, let us assign a variable x, for the (blank) in the problem.

Next, converting the question into a math equation, we get:

125% * x = 85.

Solving for x, we get:

1.25x = 85

x = 68.

A sea turtie descends 28 feet from the surface of the ocean and then ascends 5 feet. Then it descends & feet and repeats this desceni 4 times. How many feet below the surface is the turtle then?

Answers

Answer:

I don't exactly know this but

Step-by-step explanation:

remeber that descend is subtraction. under

There are 609 skiers in line for the lift if each chair seats 6 people how many skiers will be on the last chair

Answers

Answer:

3 skiers will be on the last chair

Step-by-step explanation:

Divide 609 skiers by 6 people per chair:

609 ÷ 6 = 101.5 (also can write as 101 and remainder of 3)

Multiply 101 • 6 = 606

609 - 606 = 3

Please help. Will mark brainliest!

Answers

Answer: the volume would be 384 but if you want it separately it would 8*4= 32

8*12=96

4*12=48

but the total cost would be 176 after you add up the equations

and the surface area would be 352

hope this helped :D

Answer: It is 384 is for volume and  352 for surface area

Step-by-step explanation: 384 square inches for volume because you multiply all the numbers together.  V = LWH (volume=lengh+with+hight)

352 for surface area.

V = (8) x (4) x (12)

V = 384 inches squared

SA = 2(LH)+2(LW)+2(WH)

SA = 2(8x12) + 2(8x4) + 2(4x12)

SA = 192 + 64 + 96

SA = 348 inches squared

I hope this helps! =3

Make x the subject of the formula y=2x-3​

Answers

The questions is basically saying make x isolated.

First add 3 to both sides.

y+3=2x-3+3

y+3=2x

Now divide both sides by 2

(y+3)/2=x

x=(y+3)/2

Done!

Any questions just ask me in the comments.

The two-way table shows the ages of the players on different soccer teams.

Which statement is true?

Answers

A
Team A is 4, the total is 21.
This can’t be simplified.
Plus I took the quiz on edge.

HELPPPP MEEE
Find the missing measure in each triangle with the given angle measures.

x°, 90°, 16.5°
a.
83.5

b.
93.5

c.
63.5

d.
73.5

Answers

it’s d
have a good day

Which type of sampling method is being employed in the following example:

"A study was being conducted after a tsunami. The researcher was trying to assess the needs of the victims in a single
downtown high rise apartment building. So, she sent a messenger to ask one person on each floor what their needs were to
get an idea of what was needed to support the people in the building.”

Answer choice
a) Simple Random Sampling
b) Stratified Sampling
c) Clusters Sampling
d) Sampling of Convenience
e) Systematic Sampling

Answers

the answer is d ...............

can you help plz this is due soon first on to answer gets brainileist

Answers

Your equations needed are:
Area =pie times radius squared
Circumference = 2pie times radius

So the radius is half the diameters shown.

Soo Area =pie3^2
28.27inches

Circumference = 2pie3
18.85inches

Sooo now on the second question do you need to convert to inches? Or can it stay feet?

Area =pie1.05^2
3.46feet

Circumference = 2pie1.05
6.59Feet

But check if feet or inches are required for the answer to be right

Write the algebraic
expression for:
the sum of 24 and c


Hi I’m kinda confused and need some help :D

Answers

Answer:

24 + c

Step-by-step explanation:

Find the x- and y-intercepts of the graph of 2x−8y=32. State your answers as whole numbers or as improper fractions in simplest form.


PLEASE HELP

Answers

yx2=33-6
have a good day!

Answer:

x= 16    y= -4

Step-by-step explanation:

So for the x intercept we get positive 16, or (16,0). And then for the y intercept we get negative 4, or (0,-4). Have a great day!! :)

In a nature conservatory, the ratio of butterflies to total number of flying insects is 36 to 100. There are 450 total flying insects.
Create a table for how many butterflies there are for 1, 50, and 100 flying insects. Show your work.
How many butterflies are in the conservatory? Show your work.
HELP ASAP I NEED SHORT ANSWERS

Answers

Answer:

sfsdfsfgsg

Step-by-step explanation:

id iotn like branly plus it keep asking for money and it s super annoying

Answers

Answer:

YESSSS ikr like every minute it say UpGrAdE uR bRaInLy and its just ike I ALREADY DIDDDDDD it is VERYYY anouing

Step-by-step explanation:

Seven subtracted from five times a number is 123.Find the number.

Answers

Answer:

the answer is 42

Step-by-step explanation:

Simplify the expression:
2x + 5 + x

Answers

Answer:3x+5

Step-by-step explanation:

1) Combine like terms 2x+5+x

solution: 3x+5

Consider the first three terms of the sequence below. 14,000, 12,600, 11,340...

Complete the recursively-defined function to describe this sequence.

f(1) = (blank)
f(n) = f(n - 1) · (blank), for n ≥ 2

The next term in the sequence is (blank).

Answers

Answer:

I think f(1) = is 14,000

Step-by-step explanation:

f(1) = 14,000 should be right but thats about all I know. Sorry.

m
n
Given:
(x + 60)
4xº
m || n
*not drawn to scale
What is the value of x?

Answers

Answer:

A   20°

Step-by-step explanation:

Explanation:-

Given graph

The corresponding angles are congruent (equal to each other)

(x+60)° = 4 x°

x + 60 = 4x

4x-x = 60

3x =60

x = 20°

The value of x=20°

Student claims that he can solve 12 X plus 8Y equals 40 and 4X plus 5Y equals 18 for axing why by adding the first equation into multiple of the second equation he can use the new equation and the first equation to create a new system that has the same solution of the original listing it begins by listing for different equations determine whether the student can use the credit to replace the second equation and create a new system that has the same solution select yes or no for each equation

Answers

Answer:

x = 2 and y = 2

Step-by-step explanation:

The given system of equations are :

12x+8y = 40 ...(1)

4x+5y = 18  ....(2)

Multiply equation (2) by 3.

12x+15y = 54 ...(3)

Subtract equation (1) by (3).

12x+15y-(12x+8y) = 54-40

12x+15y-12x-8y = 14

7y = 14

y = 2

Put the value of y in equation (2).

4x+5(2) = 18

4x+10 = 18

4x = 8

x = 2

The solutions of the given equations are x = 2 and y = 2

I don't really understand part B of this homework problem

Answers

Answer:

they are parallel (will never intersect)

Step-by-step explanation:

What is the rule for the pattern below?
47, 54, 61, 68, 75

Answers

The pattern is count by 7.

The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately .41, .10, .04, and .45, respectively. A single Caucasian is chosen at random from the population. a List the sample space for this experiment. b Make use of the information given above to assign probabilities to each of the simple events. c What is the probability that the person chosen at random has either type A or type AB blood

Answers

Answer:

a. S = {A,B,AB,O}

b. P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c. 0.45 = 45% probability that the person chosen at random has either type A or type AB blood

Step-by-step explanation:

a List the sample space for this experiment.

All possible blood types(A, B, AB or O). So

S = {A,B,AB,O}

b Make use of the information given above to assign probabilities to each of the simple events.

The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately .41, .10, .04, and .45, respectively.

So

P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c What is the probability that the person chosen at random has either type A or type AB blood

P(A) + P(AB) = 0.41 + 0.04 = 0.45

0.45 = 45% probability that the person chosen at random has either type A or type AB blood

The brackets for a shelf are in the shape of a triangle. Find the angles of the triangle if the measures of the angles are in the ratio 2x : 3x : 5x

Answers

[tex] \huge \blue{\tt{Answer:}} [/tex]

[tex] \sf{2x+3x+5x=180°[angle~sum~property~of~a~triangle]} [/tex]

[tex] \implies \sf{10x=180°} \\\\ \implies \sf{x = {\dfrac{180°}{10}}} \\\\ \implies \sf{x=18°} [/tex]

[tex] \sf{2x= 36°} \\\\ \sf{3x=54°} \\\\ \sf{5x=90°} [/tex]

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