Write the simplest polynomial function for each set of zeros

Zeros = -2, 5, -1

Answers

Answer 1

Answer:

The polynomial is ;

x^3 -2x^2 -13x - 10

Step-by-step explanation:

Given the zeros, we set them to equal zero so as to get the linear factors

Mathematically, that will be as follows;

x = -2

x + 2

x = 5

x-5

x = -1

x + 1

So we have the polynomial as;

(x + 1)(x + 2)(x-5)

= (x -5)(x^2 + 3x + 2)

= x^3+ 3x^2 + 2x -5x^2 -15x - 10

= x^3 -2x^2 -13x - 10


Related Questions

-x/6 +10 = 11

I need the value for x it’s either

-6 or 6

Answers

Answer:-6

Step-by-step explanation:

use pathway with a m

Can someone help? I’m not the best at algebra

Answers

8/3

also use math_way its helpful

without the "_"

Step-by-step explanation:

Answer:

D- 4/3

I already knew the answer, but I found this explanation on another website..

x^3=64/27

x = 3√(64/27)

x= 4/3

Have a nice day :D

Also, may I have Brainliest if someone else answers??

The area of a square can be represented by the expression x10. Which monomial represents a side of the square? x2 x5 x20 x100

Answers

The side of the square is [tex]x^5[/tex].

Area of square

area of a square = (side)² = a²,

Exponent properties[tex](a^m)^n = a^{m+n}[/tex][tex](\sqrt a)^n = a^{(-2+n)}[/tex]

Given to us

area of a square = [tex]x^{10}[/tex]

Side of the Square

Equating it with the general formula of square

[tex]\rm {Area\ of\ square}={Area\ of\ square}[/tex]

[tex]x^{10} = a^2[/tex]

Taking square root on both sides,

[tex]\sqrt{x^{10}} = \sqrt{a^2}\\\\a=\sqrt{x^{10}}[/tex]

[tex]a = x^5[/tex]

Hence, the side of the square is [tex]x^5[/tex].

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The monomial which represents a side of the square is; x⁵

Area of a square

The area of a square is a 2-dimensional quantity and can be evaluated by the formula;

Area = l².

Hence, the length of the sides of the square is;

l = √A.

According to the question, the given area is x¹⁰.

Therefore, the length of each side is;

l = √x¹⁰ = (x¹⁰)^1/2

l = x⁵.

Read more on area of a square;

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An architect created a scale model of what a college campus will look like once construction is finished. The scale for the model is 2 in. : 25 ft. The tallest building in the model is 10 intall. How tall is the actual building?

Answers

Answer: 125ft

Step-by-step explanation:

In the model, we have the relation:

2in = 25ft

This means that 2 inches in the model represent 25ft for the actual college campus.

Then, if the building is 10 inches tall in the model, we have:

How many groups of 2 inches we have in 10 inches?

10in/2in = 5

And we know that each one of these 2 inches represent 25ft, then 5 of them are 5 times 25 ft:

The height of the building is 5*25ft = 125ft

Ng Order of Operations George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money. 15 - 9 + 2.65 + 1.35 + 2(1.74) Use the order of operations to simplify this expression.

Answers

Answer:

No, George does not have enough money to buy everything.

The correct expression is:

15 - 9 - 2.65 - 1.35 - 2(1.74)

Step-by-step explanation:

Given that:

Money present with George initially = $15

Money required to see the movie = $9

Money required to buy a pretzel = $2.65

Money required to buy a drink = $1.35

Money required to buy 2 veggie cups = $2(1.74)

To find:

Whether there is enough money with George to complete all the tasks.

Solution:

First of all, let us calculate all the money required and then we can subtract all the money from the initial amount to find whether there is enough money present with George.

If the result is in positive, there is enough money with George.

Total money required for all the activities = $9 + $2.65 + $1.35 + $2(1.74) = $16.48

Expression = $15 - $16.48 = -$1.48

The result is negative, therefore there is not enough money.

The correct expression is:

15 - 9 - 2.65 - 1.35 - 2(1.74)

If three pounds of apples cost $5.25, how much will 10 pounds cost?

show work!!!!

please help

Answers

Answer:

10 pounds will cost $17.50

Step-by-step explanation:

(5.25 / 3) * 10 = x

1.75 * 10 = x

17.50 = x

Answer:

10 pounds of apples will cost $17.50.

Step-by-step explanation:

First, we need to find the unit rate.

$5.25/3 = $1.75

Now we need to multiply $1.75 by 10 pounds.

$1.75 × 10 = $17.50

What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?

A.) acute scalene triangle
B.) right isosceles triangle
C.) equiangular equilateral triangle
D.) obtuse scalene triangle

Answers

Answer:

D.) obtuse scalene triangle

Step-by-step explanation:

acute triangle: 3 acute angles

right triangle: 1 right angle, 2 acute angles

obtuse triangle: 1 obtuse angle, 2 acute angles

scalene triangle: no congruent sides

isosceles triangle: 2 congruent sides

equilateral triangle: 3 congruent sides

The question is:

"What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?"

That means scalene and obtuse.

Answer: D.) obtuse scalene triangle

The triangle is an obtuse scalene triangle, the correct option is D.

What is a Triangle?

A triangle is a polygon with three sides, angles and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides,

When the measure of all the angles of a triangle is less than 90 degree, it is an acute angle triangle.

When the measure of one of the angle of a triangle is equal to 90 degree, it is a right angled triangle.

When the measure of one of the angle of a triangle is greater than 90 degree, it is called an obtuse angle triangle.

When the measure of all side is different, it is a scalene triangle.

When the two side of a triangle is equal, it is an isosceles triangle.

When all the sides of a triangle is equal, it is an equilateral triangle.

The condition given in the question is triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°, it is an obtuse scalene triangle.

To know more about Triangle

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Write the equation in slope-intercept form. Do not use any spaces. Make sure your answer looks like y=mx+b. Y + 6 = 3(x - 4) *

Answers

Answer:

y = 3x+ 18

Step-by-step explanation:

Given the expression y + 6 = 3(x-4), we are to express in the form y = mx+b

Open the bracket

y + 6 = 3(x-4)

y+6 = 3x-12

Collect the like terms;

y - 3x = -12 - 6

y - 3x = 18

y = 3x + 18

Hence the required equation in slope-intercept form is y = 3x+ 18

U is the midpoint of TV. TU = x2 + 2x – 2. UV = -x + 8. Find the
positive value of x.

Answers

Answer:

x = 2

Step-by-step explanation:

It is given that,

U is the midpoint of TV.

TU = x² + 2x – 2

UV = -x+8

We need to find a positive value of x.

For midpoint,

TU  = UV

Putting values,

x² + 2x – 2 = -x+8

or

x² + 2x – 2+ x - 8= 0

x² +3x-10 = 0

x² +5x - 2x -10 = 0

x(x+5) -2(x+5) = 0

(x-2) (x+5) = 0

x = +2 and x = -5

Hence, the positive value of x is 2.

if you were given the following statements write your conclusion
if you are given :

Answers

Step-by-step explanation:

This means that Angle EBA = Angle EBC.

Two trains leave the station at the same time, one traveling due east, the other due west. After 46 minutes, they are 140 miles apart. If one train's speed is 20 mph more than the other train's, what are the speeds of the two trains.

Answers

Train A speed = x + 20

Train B = x

We know that 46 minutes is 23/30 of an hour.

Use D = rt

Take it from here.

George used the diagram below to help determine 30% of 60. Which expression could George have used?

30% of 60
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
6
6
6
6
6
6
6
6
6
6

(0.10)(6)
(0.10)(60)
(3)(6)
(3)(60)

Answers

Answer:

Answer:

Step-by-step explanation:

Given expression,

30% of 60,

We know that,

Convert percentage to fraction :

Thus,

So, 30% of 60 =  

Which is the required expression.

Step-by-step explanation:

Answer:

30÷100 ×60

18 , ;; , ,,,,,,,,,

Simplify: 8p²q²r² - 7p²q²r² + q²r²

Answers

Answer:

8p²q²r² - 7p²q²r² + q²r²

Step-by-step explanation:

= p^2 q^2 r^2 + q^2 r^2 :)

с
6 yd
8 yd
What is the length of the hypotenuse?
C =
yards

Answers

Answer:

10 yds

Step-by-step explanation:

Pythagorean Theorem is [tex]A^{2} +B^{2} =C^{2}[/tex]

So, [tex]6^{2} +8^{2} =C^{2}[/tex]

[tex]36+64=C^{2}[/tex]

[tex]100=C^{2}[/tex]

C=10

plz help me The temperature at noon was 22°. From 6 AM until noon, the temperature changed by an average of 5° per hour. What WAS the temperature at 6 AM?

Answers

Answer:

-8° OR 52°

Step-by-step explanation:

Remember 22.

Now, you'll need to take 12 PM and see how many hours it is from 6 AM to 12 PM noon: 6-7, 7-8, 8-9, 9-10, 10-11, 11-12. We have 6 hours from 6 AM to 12 PM.

The problem gives us the average number of degrees it changed: 5. Since it doesn't specify HOW it changed, there are 2 answers.

In order to find the number of degrees it changed, we have to take the hours times the amount given, or in this case, 6 x 5 which equals 30.

Now that we know the fluxation number, we can either add or subtract 30 from the degrees given at noon.

So, 22 - 30 = -8 AND 22 + 30 = 50.

I hope that helps! :)

PLEASE HELP ME!!!!!!!!!!!!! I WILL GIVE BRAINLIEST
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

{  x | x  >  9  }

C because it’s (9,infinity)

seven less than eight times a number is -12

Answers

Answer:

19/8

Step-by-step explanation:

8x-7=-12

8x=19

x=19/8

Answer:

8-7n=-12

Step-by-step explanation:

Find the least whole number N so that 2020 + N is exactly divisible by 11.

Answers

2020 + N ≡ 0 (mod 11)

N ≡ -2020 (mod 11)

Notice that 2020 = 183 • 11 + 7, so

N ≡ -(183 • 11 + 7) (mod 11)

N ≡ -7 (mod 11)

N4 (mod 11)

[tex]N=4[/tex]

Step-by-step explanation:

Given :

Whole Number = N

Number = 2020 + N

Solution :

Now through observtion,

[tex]\dfrac{2020+N}{11}=184[/tex]  ----- (1)

We took 184 because when we multiply 184 by 11 we get the nearest number to 2020

So from equation (1),

[tex]N=2024-2020[/tex]

[tex]N=4[/tex]

For more information, refer the link given below

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What is the area of the trapezoid?

Answers

Answer:

A=30

Step-by-step explanation:

A=a+b

   ------- x h

     2

3+7

-------  x 6

2

10/2=5

5 x 6 = 30

Mr Gutierrez and his brother wants to play video games they want to purchase a game console that costs 300 4 games and 2 controllers write an expression to represent this situation

Answers

Answer:

The correct expression for this would be:

4g + 2c = 300

Step-by-step explanation:

Since the console costs 300 for buying 4 games and 2 controllers, let's represent 4 games with 4g and 2 controllers with 2c.

This means 4g and 2c gives 300. Mathematical, this is written as

4g + 2c = 300

A line with a negative slope is perpendicular to one of the lines shown. What is its slope? Use the graph shown below. The Slope is:

Answers

Answer:

The slope for the red line is decreasing and hence the slope must be negative. -1x or simply -xThe slope of the blue line is increasing and hence positive: 1/2xThe solution to the equation is the intercept (2,3) Rate positively and give brainlist

Find the area of the square ABCD

Answers

Step-by-step explanation:

Area of Square ABCD = 10m * 10m = 100m².

Answer:

Area of Square ABCD = 10m * 10m = 100m².

Step-by-step explanation:

Hope this helped have an amazing day!

Which real-world story is represented by the problem (-15.85) + 26.58? Check all that apply. (A) Chey returned a CD that cost $15.85 and bought a shirt for $26.58. The sum is the amount the store owes him. (B) Chey returned a jacket that cost $26.58 and bought a book for $15.85. The sum represents the amount the store owes him. (C) Chey bought a shirt that cost $26.58 and a CD that cost $15.85. The sum represents his change. (D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.

Answers

Answer:

(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.

Step-by-step explanation:

Which real-world story is represented by the problem (-15.85) + 26.58?

Comparing the options given below,

The correct option is

(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.

This is because, buy a hat that cost $15.85 = -15.85

He has a balance is $26.58 on his credit card.

Hence: $26.58 - $15.85

Hence, option D is correct

Answer:

B & D

Step-by-step explanation:

Select all the correct answers.


Which sequences of transformations performed on shape I show its congruency to shape II?

a reflection across the x-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units right
a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left

Answers

#4 a reflection across the x-axis is the only correct answer , the other ones aren’t correct .

Answer:

A.a reflection across the x-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left

and

C. a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left

Step-by-step explanation:

I need help ASAP
Plzs

Answers

How does 6 relate to 12?, this is 6×2=12 this makes that 4×2=x. (8) (x=8)

Answer

8

Step-by-step explanation:

6/4 times 12/x. cross mutliply to get 8

Which of the following are types of variations?

Direct
Inverse
Variable
Combined
Joint

Answers

Step-by-step explanation:

There are many different types of variations  as follows:

1) Direct variations in which the relationship between two different variables is direct.

2) Inverse variations in which the relationship between two different variables is opposite.

3) Joint variations in which the relationship between one variable varies directly with the product of two or more variables.

4) Combined variations in which one variable is directly proportion to second variable but inversely proportion with third variables.

option 'A', 'B', 'D' , 'E' are correct.

Complete the proof.....

Answers

Answer:

Step-by-step explanation:

From the given attachment to the question, the following can be deduced.

1. M is the midpoint of GH, given that M is the definition of midpoint.

2. GM ≅ MH, given that x = 2. So that,

GM = 5x = 5(2)

      = 10

MH = 3x + 4 = 3(2) + 4

      = 10

Thus, GM ≅ MH

3. GM = MH is the definition of congruence. This implies that they are similar.

4. 5x = 3x + 4, by substitution property of equality.

Since, x = 2 then;

5(2) = 3(2) + 4

10 - 10

5. 2x = 4, given that x = 2.

6. GH = GM + MH, by division property of equality.

Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke’s mean score increased.

Answers

85.6 to do this, add all the numbers and divide by how many numbers there are. Hope this helped!

Answer:

B: 90

d: 86

e: 92

Step-by-step explanation:

edg2020

Choose the correct answer

Answers

Answer: it should be d pretty sure

Step-by-step explanation:

Part C Whose puppy weighed the most when the person got it? How much did it weigh?​

Answers

Answer:

Olivia's puppy, it weighed 5 pounds.

Step-by-step explanation:

Answer:

Olivia's puppy and the amount of pounds the puppy gained is 5 pounds

Step-by-step explanation:

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