Consider the following polynomial inequality.

x^2(x+5)(x−6)>0

Set one side equal to zero and list the interval endpoints (the only points at which the non-zero expression can change sign).


Separate multiple answers with a comma.

Answers

Answer 1

Answer:

Well, x^2(x+5)(x−6)>0= x<-5 or x>4

Step-by-step explanation:

Just have to simplify it as I can't type the equations right now.

Answer 2

The polynomial expression of inequality is x² ( x + 5 ) ( x - 6 ) > 0 is given by the values ( x < -5 ) and ( x > 6 )

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x² ( x + 5 ) ( x - 6 ) > 0

So , the values of x that are greater than 0 is given by

x² > 0

So , the value of x > 0

when ( x + 5 ) > 0

Subtracting 5 on both sides , we get

x < -5

when ( x - 6 ) > 0

Adding 6 on both sides , we get

x > 6

So , the inequalities are ( x < -5 ) and ( x > 6 )

Hence , the polynomial inequality is solved

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ3


Related Questions

A teacher had a list of 36 test scores. What
information does the teacher need to find the
range of test scores?

Answers

Range is the difference between the highest score and lowest score.

To find the range the teacher needs to know the highest and lowest grades in the test.

1. What are some ways that you can tell they are scaled copies?

Answers

A scaled copy is a copy of an figure where every length in the original figure is multiplied by the same number. For example, triangle DEF is a scaled copy of triangle ABC. Each side length on triangle ABC was multiplied by 1.5 to get the corresponding side length on triangle DEF.

30 POINTS!! “Use the figures to help you complete the statements”

Help pls

Answers

Answer:

6

4

12

72

Step-by-step explanation:

Base is 6 in

Height is 4 in

To get the area of a triangle is 1/2 Base × Height

Being 1/2(6)(4) = 12

To get the area of a rectangle is Length × Width being 9 × 8 = 72

Years old and my self did you not have to be there and not have to do that with you that you are just being hurt you don’t want me too tired to be with me and you not hurt you and I feel bad for myself but

A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.

Answers

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantityvaluetotal$3 ticketsx33x$2 ticketsy22ytogether350950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Tell whether (2,3) is a solution of x+y<7

Answers

Answer:

yes, it is a solution

Step-by-step explanation:

when you plug the values in, the expression is true

x = 2

y = 3

2 + 3 = 5

5 < 7

Part II.
1. Tara lives in a state where there is no sales tax. She bought 7 tacos and paid with a $20 dollar bill.
Her change was $9.50
a. Define the variable and represent the situation with
an equation:
b. Solve this equation using a graph.
c. Explain how you obtained the answer from the graph.
lanton comnuter. She already has

Answers

Answer:

7

Step-by-step explanation:

solve the equation 1/4 x + 2 = 6

Answers

Answer:

x = 16

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

[tex]\frac{1}{4}x + 2 = 6[/tex] [tex]\frac{1}{4}x+2-2=6-2[/tex] [tex]\frac{1}{4}x=4[/tex]

Step 2: Multiply each side by 4 in order to isolate x.

[tex]\frac{1}{4}x * 4 = 4 * 4[/tex] [tex]x = 16[/tex]

Therefore, x = 6.

Hope you have a lovely rest of your day/night.

Answer:

x/4 + 2= 6 (1/4 × x = x/4)

x/4 = 4

x = 16

The first number in a multiplication problem tells you to number to write down.
True
False

Answers

Answer:

true

Step-by-step explanation:

three times four equals twelve.

Tablets are 250 micrograms and you must give 62.5 micrograms to Phil. What fraction of a tablet will you give him?


Please show work!

Answers

Answer:

1/4

Step-by-step explanation:

250 / 62.5 = 1/4 of the tablet

I know this isn't a good explanation but you can use a calculator for this :)

evaluate (mn)(x) for x= -3
(mn)(-3) =

Answers

Answer:

-3mn

Step-by-step explanation:

The 2 figures are similar. Robert uses the proportion GH/PQ = GK/RQ to find RQ. What is roberts error? What proportion should he have used?

Answers

Answer:

Robert's error was dividing it by the other model. The formula he should have used was, "GK/KL = PQ/RQ"

Step-by-step explanation:

On a map, two cities are 5.75 inches apart. The scale of the map is 0.5 inch = 3 miles. What is the actual distance between the two towns?The local school district has made a scale model of the campus of Lakeside Middle School including a proposed new building. The scale of the model is 1 inch = 3 feet. An existing gymnasium is 13 inches tall in the model. How tall is the actual gymasium?

Answers

D.I don’t know please help

during the work week mrs. Jamison drive 75 miles each way to work if she works 21 days each month how far does she drive for the work during the month​

Answers

Answer:

See below:

Step-by-step explanation:

So, the question asks how far she drives in a month, this probably includes going to work and coming back. Therefore, each day takes 2 times 75 which is 150!

Now, we know she goes 150 miles each day going to work and coming back. We can now multiply that by 21 to get out answer.

We can split 21 into 10 * 2 + 1 for our convenience.

150 times 10 is 1500 and that times two is 3000 added by 150 is 3150.

Then we get out answer; 3150 miles!

If this answer helped you, consider marking as brainliest :)

What is the solution of the system
of equations?
2x + 5y = 20
Y=-2/5x-1

Answers

Answer:

no solutions

Step-by-step explanation:

Substitute -2/5(x) - 1 for y in 2x + 5y = 20

[tex]2x + 5(-\frac{2}{5}-1)=20[/tex] [tex]2x + (5)(\frac{-2}{5}x)+(5)(-1)=20[/tex] (Distribute)[tex]2x -2x - 5 = 20[/tex] (Simplify)[tex]-5 = 20[/tex] (Simplify)[tex]-5+5=20+5[/tex] (Add 5 to both sides)[tex]0 = 25[/tex]

Therefore, the answer is no solutions.

a flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is 4 mph, what is the speed of the flying carpet in the air?

Answers

Answer:

The speed of the flying carpet in still air is 15.2 mph

Step-by-step explanation:

Answer:

15.2

Step-by-step explanation:

Do the math

Three friends split the cost of Dinner.Dinner was $24.18 How much did each friend s
spend.

I don't know what to do

Answers

you basically would just divide, $24.18 by 3 . since they split the cost.

Answer:

Each friend payed $8.06

Step-by-step explanation:

You would just divide $24.18 by 3 considering the three friends are splitting

(DIVIDING) the cost amongst each other.

Hope this helps :]

pls make brainliest :3

and have an amazing day <3

Find the size of angle​

Answers

The sum of angles are 180
Each angle is 60 degree
Then X= 30

Question is attached.
Step by step explanation only!​

Answers

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

[tex]\displaystyle \frac{\tan\theta}{ 1- \cot \theta} + \frac{\cot\theta}{1 - \tan\theta} = \frac{\dfrac{\sin\theta}{\cos\theta}}{1 - \dfrac{\cos\theta}{\sin\theta}} + \frac{\dfrac{\cos\theta}{\sin\theta}}{1 - \dfrac{\sin\theta}{\cos\theta}}[/tex]

Recall that tanθ = sinθ / cosθ. Likewise, cotθ = cosθ / sinθ. Then by substitution:

[tex]\displaystyle \begin{aligned} \frac{\tan\theta}{ 1- \cot \theta} + \frac{\cot\theta}{1 - \tan\theta} & = \frac{\dfrac{\sin\theta}{\cos\theta}}{1 - \dfrac{\cos\theta}{\sin\theta}} + \frac{\dfrac{\cos\theta}{\sin\theta}}{1 - \dfrac{\sin\theta}{\cos\theta}} \\ \\ & \stackrel{\checkmark}{=} \frac{\dfrac{\sin\theta}{\cos\theta}}{1 - \dfrac{\cos\theta}{\sin\theta}} + \frac{\dfrac{\cos\theta}{\sin\theta}}{1 - \dfrac{\sin\theta}{\cos\theta}} \end{aligned}[/tex]

Hence verified.

Given :

tan∅/1-cot∅ + cot∅/1-tan∅ = sin∅/cos∅ ÷ (1- cos∅/sin∅ ) + cos∅/sin∅ ÷ (1 - sin∅/cos∅)

To Do :-

To prove LHS = RHS

Proof :-

We know that ,

sin∅/cos∅ = tan∅cos∅/sin∅ = cot∅

On using above two in LHS ,

LHS = tan∅/1-cot∅ + cot∅/1-tan∅LHS = tan∅/1-cot∅ + cot∅/1-tan∅ = sin∅/cos∅ ÷ (1- cos∅/sin∅ ) + cos∅/sin∅ ÷ (1 - sin∅/cos∅) LHS = RHS

Hence proved !

What is the unit rate of 4 ticket for 35$

Answers

Answer:35/5 = 8.75$ per ticket

Step-by-step explanation:

at the international conference on robotics and automation a robot was unveiled by a team of young engineers that would help people who needed daily physical assistance getting dressed. the team uses haptics as a sensorial method for training the robot. in order to improve the performance the team was seeking the loan of​

Answers

Answer:

10

Step-by-step explanation:

prinfeugd jigfrssfhutx bbjhhv

what's 5 over 9 times 36

Answers

Answer:

[tex] \hookrightarrow \: { \tt{ \frac{5}{9} \times 36}} \\ \\ = { \tt{{ \frac{5}{1} \times 4}}} \\ \\ = { \tt{ \frac{5 \times 4}{1} }} \\ \\ = { \boxed{ \tt{ \: \: 20 \: \: }}}[/tex]

Answer:

I think its 20

Step-by-step explanation:

(5/9)*36=20

Need help!
Describe in words the transformations that maps ∆ ∆′′′. Make sure that you include specific details(ie. Reflection – over which axis, Rotation – direction, degrees and center of rotation, Translation – direction(s) and number of units). 5 points

Answers

9514 1404 393

Answer:

clockwise90°origin

Step-by-step explanation:

The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.

__

∆ABC is transformed by a clockwise rotation 90 degrees with a center at the origin .

A segmented bar graph can be used to illustrate... A. conditional distributions. B. a marginal distribution. C. a two-way distribution.​

Answers

Answer:

C. a two-way distribution.

A segmented bar graph can be used to illustrate two-way distribution.

In a recent year, 33.6% of all registered doctors were female. If there were 44,500 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number

Answers

Answer:

132,440

Step-by-step explanation:

In order to find out the total number of doctors, we must divide 44,500 by 33.6%. This will give you the total number of doctors from this specific data set.  

Solve the equation 88,405 x 54 = ___. (4 points) a 4,420,250 b 4,597,060 c 4,685,465 d 4,773,870

Answers

Answer:

D

Step-by-step explanation:

the correct answer is D) 4,773,870

Help help help please please

Answers

Answer:

[tex]4^6[/tex]

Step-by-step explanation:

We have a simple formula to follow:

[tex]a^{b} * a^d = a^{b+d}[/tex]

So the new equations is:

[tex]4^{-3+9} = 4^6[/tex]

The answer is [tex]4^6[/tex]

-Chetan K

Answer:

4^6

Step-by-step explanation:

please mark me as brainlest

Find the x- and y-intercepts of the graph of each equation.
y= 10-2x
x-intercept?
Write your answer in the following format:
(x,y)
with no spaces.

Answers

Answer:

X intercept is (5,0)

y intercept is (0,10)

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

it is 194% of $880.50

Step-by-step explanation:

here is the explanation:

https://www.percentagecal.com/answer/1708-is-what-percent-of-880

40 as a percentage of 250?

Answers

Step-by-step explanation:

16 percent

Solving our equation for P

P% = Y/X

P% = 40/250

p = 0.16

Convert decimal to percent:

P% = 0.16 * 100 = 16%

a crew is made up of 8 men. the rest are women . 66 2/3 of the crew are men. How many people are in the crew​

Answers

Answer: 12, 33% or 1/3

Step-by-step explanation: 33% is 1 3rd, half of 66% is 33%, so half of 8 is 4, so 8+4=12. There are 12 people in the crew.

Other Questions
Why do meteors streak across the sky as they enter the atmosphere? what does cassiuss description of brutus as noble rather than the synonym aristocratic tell us about his feelings toward brutus? using aristocratic would be a compliment while noble has become a description that includes sarcasm. using noble shows how motivated both brutus and cassius are by a love of peace. using aristocratic would be insulting to brutus while noble suggests the positive qualities cassius sees in him such as dignity, generosity, and compassion. using noble is a term of endearment and great respect between longtime loyal friends where aristocratic would be impersonal. the ability of your body systems to work together with the least effort is: Any technological application using living things or living systems is called __ An exponential function in the form y=64(b)x contains the points (0,64) and (3,1). What is the value of b? given two numbers, write narrative algorithms explaining how you would use them to carry out subtraction, multiplication and division operations. Which types of polygons are the faces of a octahedron PLS HELPThe graphs below shows some properties of regular polygons. When compared with the independent variable, how many of the graphs represent a linear relationship?0123 An eight-sided solid is labeled with faces 1,2,3,3,4,5,6,6. Is this a fair solid? the green color of leaves is evidence that green light is... 3+5n=5(n+2)-7 how many solutions What was an effect of the passage of the Pure Food and Drug Act of 1906? The average number of points a basketball team scored for three games was 63 points. In the first two games they scored the same number of points which was 6 points more than they scored in the third game. Write and solve an equation to find the number of points the team scored in each game. where do the eastern and the western coastal plains lie Drag the plural nouns and verbs into the appropriate columns.difficulties added to okay so I think it's 30 pages and her mom isn't correct, but I've done this assessment multiple times and I don't wanna take it again after this, so please tell me if my answer is correct or not because I really wanna make sure solve the equation for x. 2x-3+2y^2=41 help pls I will choose the correct answer PLZ HELP WITH NUMBER 4 AND 5 compare the temperature and thermal energy of hot soup in a small mug and that of hot soup in a large bowl