Which answer includes the intrevals that contain the solution to the inequality x^2-1/3x+9<0

Answers

Answer 1

Answer:

x<±1 and x< -3

Step-by-step explanation:

Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality

x^2-1/3x+9<0

x^2-1/3x+9 (3x+9)²<0*  (3x+9)²

(x^2-1)(3x+9) < 0

x²-1 < 0 and 3x + 9 <0

x²-1 < 0

x²<1

x<±√1

x<±1

Also 3x + 9 <0

3x < -9

x < -9/3

x < -3

Hence the required values of x are x<±1 and x< -3


Related Questions

Convert 0.263 repeating (the 63 are repeating) into a fraction.

Answers

Answer:

[tex]\frac{29}{110}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 63 placed after the decimal point

let x = 0.2636363.... ( multiply both sides by 10 and 1000 )

10x = 2.6363... → (1)

1000x = 263.6363.... → (2)

Subtracting (1) from (2) eliminates the repeating value, that is

990x = 261 ( divide both sides by 990 )

x = [tex]\frac{261}{990}[/tex] = [tex]\frac{29}{110}[/tex] ← in simplest form

The number n = 0.263 as a fraction is A = 263/999

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the number be represented as n = 0.263

Now , the Let x = 0.263636363 repeating

Multiply both sides by 1000 to move the decimal point to the right:

1000x = 263.636363 repeating

Subtract x from both sides:

999x = 263

Divide both sides by 999:

x = 263/999

Hence , 0.263636363 repeating is equivalent to the fraction 263/999

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ2

Hi, please help me

c - 4d =

C= 10
D=2

It's algebra​

Answers

Answer:

All you do is replace the variable with the numbers given to replace them.

So your new equation is 10-4(2) this was given to you C=10 , D=2

Okay, let's solve it 10-4(2)

4*2 equals 8 so now it's 10-8

10-8

= 2

PLES HELP MEH

What's the point of intersection of the x-axis and y-axis on a coordinate plane?

A. Coordinate plane
B. Origin
C. Ordered pairs
D. Quadrants

Answers

The answer is B. Origin

REALLY EASY MATHS QUESTION PLS HELP
(I think it easy lol)

Answers

Answer:

no.2 no.5

Step-by-step explanation:

i don't know how to explain

have a good rest of your day

Answer:

question (1) c^2=a^2+b^2

Step-by-step explanation:

pythagoras theorem


Work out the percentage change when a price of £400 is decreased to £225

Answers

Answer:

1.77%.

Step-by-step explanation:

The answer is 1.77%.

HOPE THIS IS CORRECT AND HELPS YOU!!!

Answer:

1.75%

Step-by-step explanation:

1.75%is correct answer

Find the measure of the indicated angle that makes line u and b parallel

Answers

7. 73 degrees
8. 113 degrees
i got the same answer!!

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer: 3/16

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Your factory installed tires have a comfort that 95 inches if the odometer reading reading is 32,000 miles on your car you have tires with a conference have 103 inches how many miles have you actually traveled

Answers

Answer:

The correct solution is "35440.8".

Step-by-step explanation:

The given values are:

Bigger tire's circumference,

= 103 inches

Factor installed tire's circumference,

= 95 inches

Odometer reading,

= 32,000 miles

As we know,

⇒ [tex]Actual \ distance = K\times odometer \ reading[/tex]

Where,

⇒ [tex]K = \frac{Bigger \ tier \ circumference}{Factor \ installed \ tier \ circumference}[/tex]

i.e.,

⇒ [tex]K=\frac{103}{95}[/tex]

On applying the formula,

⇒ [tex]Actual \ distance \ travelled=\frac{103}{93}\times 32,000[/tex]

⇒                                           [tex]=35440.8[/tex]

can someone explain how to find the slope​

Answers

Answer:

slope is rise over run. first select a point. I'll use (0,-1). to get to the next complete point, you would have to go up (rise) 3 points and right (run) 1 point. the rise over run (3/1) divides evenly to 3. hope this helps!

5,423,000 divided by 100,000 ( Please help ASAP)

Answers

the answer for this question is 54.23

Answer:

54.23

Step-by-step explanation:

i just divided in calculator

AMC 10/12 Student Practice Questions
Guide to Student Practice Questions
Each of the following four large congruent squares is
subdivided into combinations of congruent triangles or
rectangles and is partially shaded. What percent of the total
area is partially shaded?
I
The original problem
and choices from the
2011 AMC 8 contest
(A) 12 (B) 20
(C) 25 (D) 33 (E) 37

Answers

Answer:

[tex]\mathrm{C.\:}25[/tex]

Step-by-step explanation:

Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are [tex]16[/tex] of these parts in total. Because each of these parts make up [tex]\frac{1}{4}[/tex] of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.

The top left and bottom right both have one part shaded each for a total of [tex]2[/tex] parts.

The top right and bottom left have [tex]0.5[/tex] and [tex]1.5[/tex] parts shaded, respectively, for a total of [tex]2[/tex] parts.

Therefore, in total, there are [tex]2+2=4[/tex] parts shaded out of [tex]16[/tex] total parts.

Thus, the percentage of the total area that is shaded is:

[tex]\frac{4}{16}=\frac{1}{4}=\fbox{$25\%$}[/tex].

The cost of a hamburger is $1.15 more than an order of large fries bill bought two hamburger ms and an order of large fries for a total of $8.60 what is the price of each item

Answers

Answer:

The cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].

Step-by-step explanation:

Let the cost of an order of large fries be [tex]\$ x[/tex].

Then, the cost of a hamburger is [tex]\$ x+\$1.15[/tex].

Bill bought two hamburgers and an order of large fries for a total of [tex]\$ 8.60[/tex].

So, [tex]2(x+1.15)+x=8.60[/tex]

[tex]\Rightarrow 2x+2.30+x=8.60[/tex]

[tex]\Rightarrow 3x=8.60-2.30[/tex]

[tex]\Rightarrow 3x=6.30[/tex]

[tex]\Rightarrow x=\frac{6.30}{3}[/tex]

[tex]\Rightarrow x=2.10[/tex]

So, the cost of an order of large fries is [tex]\$ 2.10[/tex].

And, the cost of a hamburger is [tex]\$2.10+\$1.15=\$3.25[/tex].

Hence, the cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].

Simplify the Expression

Answers

Answer:

[tex]125a^{3}b^{2}[/tex]

Step-by-step explanation:

Pls help it due ASAP and show workings

Answers

Answer:

it's 70°

Step-by-step explanation:

well first by vertical angles we know that

[tex]\angle BAC = \angle DAE\\\\\angle DAE = 4x+6[/tex] ( I don't know how to put the symbol xd)

and given we know that

[tex]\angle EAF = \angle EAD = 4x+6[/tex]

solving for x

we know that

[tex]\angle CAD = 180\\\\\angle CAB + \angle ABD = 180\\\\4x+6+6x+14=180\\\\10x+20=180\\\\10x=160\\\\x=16[/tex]

and now for [tex]\angle EAF[/tex]

[tex]\angle EAF = 4x+6\\\\\angle EAF = 4(16)+6\\\\\angle EAF = 64+6\\\\\angle EAF = 70[/tex]

A gym charges a one time sign-up fee of $10.25 and then $5 each time you go. A student paid a total of $137.25. How many times did the student go to the gym?

Answers

Answer:

25.4 or 25 times

Step-by-step explanation:

137.25-10.25=127

127/5=25.4

Please Help, I need to answer this ASAP and will automatically give brainliest

Answers

Answer:

12 and 18

Step-by-step explanation: since i helped can i have brainlist please :D

-3(3p-1)<7p+51 help plssss

Answers

Answer:

p > -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-3(3p - 1) < 7p + 51

Step 2: Solve for p

Distribute -3:                             -9p + 3 < 7p + 51Add 9p to both sides:              3 < 16p + 51Subtract 51 on both sides:       -48 < 16pDivide 16 on both sides:          -3 < pRewrite:                                    p > -3

Here we see that any value p greater than -3 would work as a solution to the inequality.

(3x+10y=54 and x=y+5 )

Answers

Answer:

y=3 x=8

Step-by-step explanation:

Which has a greater slope (Rate of change)?

the graph

the table

Answers

Answer:

The graph

Step-by-step explanation:

The graph has a slope of 2 while the table has a slope of 1.

2-1/6/5=1/1=1

2>1


Rewrite the following sentence as an equation.
The product of three and the sum of a number and
two is zero.

Answers

Answer:

3(2+x)=0

Step-by-step explanation:

Here are some vocab words:

Product: Multiplication

Sum: Addition

"A number": x

3(2+x)=0

Simplify
2x + x + x + 2y x 3yx y
Answer ?

Answers

Answer:

4x + 6y ...y cube

like y square y cube y3

Answer:

4x + 6y^3

Step-by-step explanation:

2x + x +x + 2y x 3y x y

4x + 6y^3

5 3/13 rounded to the nearest whole number

Answers

Answer:

it should be 5

Step-by-step explanation:

3/13 is smaller than 5.5 which would round up to 6, therfore is should be 5

Answer:

37

Step-by-step explanation:

What is the length of segment AB?

A) 2
B)2.5
C) 5
D) 10

Answers

It’s 10. Explanation: AB is parallel to DE and AB is twice the size of DE so 5x2=10

Help please, will mark you brainliest (Only if the answer is correct)

Answers

Answer:take numbers first, the Lcm is 24

Consider x, the highest power is 2

y, the highest power is 3

and z has 2 as its highest power.

:. The lcm is 24 x^2y^3z^2

Step-by-step explanation:

Answer:

this is me with another account, adding another anser just to mark you brainliest lol

Step-by-step explanation:

A laundry basket has 24 t shirts in it four are navy 12 are red and the remaining are white.what the probability of not selecting a white shirt

Answers

Based on the information given, there’ll be 8 white t-shirts in the laundry basket so we need to exclude that from the rest since we’re looking for a chance of NOT getting a white t-shirt, that’ll give us 16 out of 24 which is 66%

Y=-5x+4
-10-2(-5x+4)=12

Answers

Step-by-step explanation:

x=3

y=19

hope this helps if u need me to explain u can ask hope it helps

Jessica deposited $5000 in a simple interest account 4 years ago. She has earned $680 in interest so far. What is the interest rate for this account?

Answers

Answer:

$170

Step-by-step explanation:

every year she got $170 interested

Can someone tell me what the answer is and how u solve it?

Answers

What is the question I’m not sure if its just me but I can’t see it? If you can put the question in the comments i’m willing to help :)!

Answer:

y-6=-2(x-6)

y-6=-2x+12

y= -2x+6

6 is the line crossing on the y axis (B from y=mx+b)

and -2/1 is slope so 2 below and 1 right HOPE THIS HELPED

Step-by-step explanation: (IDC ABOUT THE THINGY HERE :D)

Need help on this please and thank you

Answers

Answer:

(1,9)

Step-by-step explanation:

1,9





xxxxxxx that is the answer^^^^^

A museum recorded that it had 988 visitors in 4 hours. What is the unit rate in visitors per hour?
A.). 222
B.) 247
C.). 249
D.). 262

Answers

It could b a or c depend on what grade you are in
The answer is B, if you put it as a fraction, how do you get from 4 to 1? Divided by 4 right? So if you divide 988 by 4, you will get 247 visitors per hour :)
Other Questions
how many second are in a year and haw many minutes are in a year? The algorithm below is used to find the largest element in a list of numbers.By modifying one of the lines in the program it is possible to make the algorithm find the SMALLEST element. Which line would need to be modified and how? 5 + 11y + 9 what is the answer 1. What is the 15th partial sum of the geometric sequence {262,144; 32,768; 4,096; 512; ..)? Round to the nearest whole number, if needed. Math is hard, plz help Malala believed that SafinaA. broke her favoriteB. stole her pink toy phoneC. spread rumors about herD. copied answers off her exam Write an equation in slope-intercept form for the line with slope 7 and y-intercept -8.Help pleaseeee Alzheimer's disease has some lifestyle factors because A. everyone can contract it in their lifetime B. it can be influenced by nutritional choicesC. up until now there is no known cure for itD. it can be contracted through germs ASAP PLEASE! THIS IS IMPORTANTIn the diagram, which two angles are corresponding angles with angle 12?4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.Angle 8 and Angle 16Angle 6 and Angle 10Angle 9 and Angle 11Angle 5 and Angle 15 Luke and Liam wash their clothes on a schedule. Lukewashes his clothes every 7 days and Liam washes hisclothes every 9 days. How long will it be before theyboth wash their clothes on the same day Which expressions are equivalent to -6 + 3(2+ (-4t)?A -12t B 12t-12C none of the above According to the bunking act, British soldiers could stay in any colonists is home and expect to be housed and fed true or false Which of the following is a proportion? 5/6= 10/18 4/6 = 6/9 4/3 = 6/8 2/5 = 4/25 capital city set up for a royal court, resemblingan Egyptian city I WANT TO PLAY UNDERTALE PLS HELP 100 PTS SINENCE The product of an object's mass, how high it is, and the acceleration of gravity of the planet it's on define which termA. Potential Energy B. WorkC. Power D. Kinetic Energy If a bicyclist, with an initial velocity of zero, steadily gained speed until reaching a final velocity of 13m/s, how far would she travel during this race? What is the slope and y-intercept of the following graphed Line? If a 200-mile trip takes 4 hours to com- plete, the average speed is A. 30 miles per hour. B. 40 miles per hour. C. 50 miles per hour. D. 60 miles per hour. Solve the system by substitution.3r + y = 55x 4y = -3The solution is?