Find x if 2 {x}^2- 3 {x} + 1 >0, where {.} denotes the fractional part in [- 1, 1]

Answers

Answer 1

Step-by-step explanation:

−1,

2

−1

]∪[0,

2

1

]∪{1}

For f to be defined 2{x}

2

−3{x}+1≥0

({x}−1)(2{x}−1)≥0

⇒{x}∈(−∞,

2

1

)∪[1,∞)

But we know, {x}∈[0,1)

Thus {x}∈[0,

2

1

)→(1)

Also given that x∈[−1,1]

Hence required domain is [−1,−

2

1

]∪[0,

2

1

],∪{1}

Note {−x}=1−{x}


Related Questions


HELP ASAP I NEED IT RN



A bag has 3 red marbles, 2 blue, 4 greens and 1 yellow. What is the probability of pulling a red, putting it back
in the jar and then pull a blue?
Show Your Work

Answers

There are 10 marbles in the bag.

Your chance of pulling a red one is 3/10 (3 red out of 10 possible).

Your chance of pulling a blue one is 2/10 (2 blue out of 10 possible).

Note: There are 10 possible when you pull out the blue only because you put the first red marble back.

3/10 * 2/10 = 6/100 or 3/50.

-t = 9 (t - 10)

what is t?

Answers

ANSWER:
t=9

EXPLANATION:
-t = 9t - 90
90 = 10t
t = 9

Answer: t = 9

Step-by-step explanation:

Given

-t = 9 (t - 10)

Expand parentheses and apply the distributive property

-t = 9 · t - 9 · 10

-t = 9t - 90

Subtract 9t on both sides

-t - 9t = 9t - 90 - 9t

-10t = -90

Divide -10 on both sides

-10t / -10 = -90 / -10

[tex]\boxed{t=9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The circumference of a circular track is 154 m find the diameter of the track.

Answers

Answer:

diameter of the track=49.02m

Answer:

49.04m

Step-by-step explanation:

stpes are in picture below

Which points are located on this graph?

Answers

Answer:

(-3, 0)

(0, 3)

(1, 4)

Step-by-step explanation:

It’s easier if you make an equation like this!

Start by finding the slope using two points

m = slope

m = y2 - y1/x2 - x1

For right now, I’m going to have to use two points from the graph.

Points: (-5, -2) and (0, 3)

m = 3 - -2/0 - -5

m = 5/5

m = 1

Now find the y-intercept (located where x coordinate is 0)

y-intercept = 3

Now make the equation of a line that has a slope of 1 and a y-intercept of 3

y = x + 3

Now use any point to see if it is a point on the graph.

y = x + 3

Point: (2, 5)

5 = 2 + 3

5 = 5

Therefore it is a point

y = x + 3

Point: (-3, 0)

0 = -3 + 3

0 = 0

y = x + 3

Point: (2, 4)

4 = 2 + 3

4 = 5

C,
D,
F is the correct choices

Simplify the following expression .

Answers

Answer: 3m + 28

 ———————

    4  

Can someone help plz?

Use the diagram to the right.
If AD = 13 and AC = 5y - 64, find the value of y. Then find
AC and DC.

Answers

y= 18 =(13x2+64):5
AC=26=13x2
DC=13=AD

what is the odd number?​

Answers

Step-by-step explanation:

A whole number that is not able to be divided by two into two equal whole numbers. Example: 1, 3, 5, and 7 are odd numbers

Rational number between 3.623623 and 0.484848​

Answers

Answer:

1

Step-by-step explanation:

A rational number between 3.623623 and 0.484848 is 1.

Answer:

Remember: rational numbers are numbers that can be written as fractions and decimals that either terminate or repeat. Here are some rational numbers:

0.5, 3/4, 1, 1.5...3, 3.5

Step-by-step explanation:

BRAINLIEST, PLEASE!

Evaluate this expression. − 4/5 − (− 2/5 ) + 4/7
A) − 22/35
B) − 3/5
C) 6/35
D) 2

Answers

Answer:

c) 6/35

Step-by-step explanation:

− 4/5 − (− 2/5 ) + 4/7

= − 4/5 + 2/5 + 4/7

= 6/35

Answer:

The choose C. 6/35

Step-by-step explanation:

[tex] - \frac{4}{5} + \frac{2}{5} + \frac{4}{7} \\ \frac{ - 28 + 14 + 20}{35} = \frac{6}{35} [/tex]

On a certain trip, a traveler is driving at a constant rate of 85 km/hour. At that rate, the number of minutes needed to complete the last 43 kilometers of the trip is between
a. 20 and 25
b. 25 and 30
c. 30 and 35
d. 35 and 40
e. 40 and 45

Answers

Answer:

30 and 35

Step-by-step explanation:

Distance covered of 85km=1hour=60minutes

Distance covered of 1km=60minutes/85km

Distance covered of 43km=60mins/85km × 43mins

= 30.35mins

Note:If you need to ask question about it I'll reply gladly

The answer is c because 30 and 40

There are 504 calories in eight ounces of a certain ice cream. How many calories are there in one pound

Answers

Answer:

1008 calories

Step-by-step explanation:

one pound = 16 ounces

16 ÷ 8 = 2

504 × 2 =

1008

Find the GCF of 8 and 12. WIll give brainliest for the best and most clear answer. :)

Answers

Answer:

GCF = 4

Step-by-step explanation:

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The greatest common factor is 4.

I hope this helps :).

Answer:

4

Step-by-step explanation:

8 = 2 * 2 * 2

12 = 2 * 2 * 3

Since 2 times 2 is common in both the numbers,

Greatest Common Factor = 2 * 2 = 4

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

I have no clue on how to do this someone help me out

Answers

Answer:

B

Step-by-step explanation:

Substitute x = 5 into the expression

[tex]\frac{4(5+5)(5+1)}{(5+3)(5-3)}[/tex]

= [tex]\frac{4(10)(6)}{8(2)}[/tex]

= [tex]\frac{240}{16}[/tex]

= 15 → B

Answer:

15

Step-by-step explanation:

Numerator ; 4(X+5)(X+1)

substitute : X=5

The first expression becomes : 4(5+5)(5+1)

= 4(10)(6)

=4×10×6

=240

Denominator : (X+3)(x-3)

substitute: X=5

=(5+3)(5-3)

=(8)(2)

=16

Now, Dividing the numerator by the denominator we have 240÷16=15

Graph the line y=43x+1.

Answers

To graph this is is good to plot points. First, you can start by plotting the intercepts.

Y intercept is found by substituting 0 for x. In this case you get y=1 as the y int or (0,1) for the coordinate.

The X intercept is found by substituting 0 for y, and solving for x. For this, you get x=-1/43 or (-1/43,0) as the coordinate.

You can then plot the points and draw a line connecting the points to get an idea of what the graph looks like.

Answer:

Read explanation Please (I spent alot of time on it and its important to understand where the answer came from not just the answer!)

Step-by-step explanation:

This problem is in the form of y=mx+b where m is the ratio y grows accordinly to x and b is the value of y when x is 0 (mx0 is 0, 0+b is b).

In you problem we can identify that 1 is the y intercept or when x is 0. All we have to do is find another point since 2 points make alike. Let's say x was 1. 43 * 1 +1 = 44 so when x is 1 y is 44.

Our two points are, (0,1)(1,44)

I left a picture of the graphed btw!,

Hoped this helped, Eddie

factor & solve please helppp my brain is mush i don’t remember anything

Answers

This equation uses y and x so it cannot be factorised.

Let’s try the equation y^2 - 12y + 36 = 0

Look for two factors of 36 that add to -12.
This would be -6 and -6

(y - 6)(y - 6) = 0
(y - 6) must equal 0
y = 6

We can calculate the volume V of a rectangular prism using V = lwh, where l is the length, w is the width, and h is the height of the
prism. Suppose that a prism has a volume of 200 cm and l = 2w.
a. Select all of the equations that rewrite the volume formula by making substitutions for V and l.
200 = 2w²h
200 = 4wh
V = 22
2w xwxh = 200

Answers

Answer:

Step-by-step explanation:

200=2w²h

The equations are -

200 = 2[tex]w^{2}[/tex]h

2w x w x h = 200

We have a prism and the formula to calculate its volume is given.

We have to select all of the equations that rewrite the volume formula by making substitutions for V = 200 cubic centimeter and L = 2w.

What is Prism ?

A Prism is a three-dimensional shape, which consists of two identical polygons, which do not lie in the same axis.

According to the question, we have -

Volume of Prism = 200 cubic centimeter

L = 2w

The formula to calculate the volume of prism equals to -

V = Lwh

Substituting values, we get -

200 = 2[tex]w^{2}[/tex]h

or

2w x w x h = 200

Hence, the equations are -

200 = 2[tex]w^{2}[/tex]h

2w x w x h = 200

To solve more questions on prism, visit the link below-

https://brainly.com/question/17619973

#SPJ2

A flowerbed is to be 3m longer than its width.the flowerbed will have an area of 70m²​

Answers

ANSWER
Yes, it is a quadratic equation which is x² + 3x - 70 = 0

SOLUTION

Area = Length × Width
Let x be the Length, L = x
Length is 3 cm longer than its width, thus, W = x + 3
The Area is equal to 70m², thus, A = 70m²

In Mathematical representation,
A = L × W
70 = (x)(x + 3)
70 = x(x) + x(3)
70 = x² + 3x
0 = x² + 3x - 70

6. Teri estimates that it will cost $200,000 to send his daughter to a private college in 16
years. He currently has $125,000 to deposit in an account. What simple interest rate
would
he need so that $125,000 grows info $200,000 in 16 years? Round to the nearest
percent.


How do I solve this?

Answers

The simple interest rate need by Teri will be 4%.

Step-by-step explanation:

Given:

Teri has $125,000 to deposit in his accounts so that he gets $200,000 in 16 years along with the simple interest.

To find:

The simple interest rate needed to grow $125,000 into $200,000 in 16 years.

Solution:

The principle amount Teri has = P = $125,000

The total amount Teri wants to have in 16 years = A = $200,000

The simple interest that will Teri earn = S.I

[tex]S.I= A - P =\$200,000-$125,000=\$ 75,000[/tex]

The rate of interest per year = R

The time for which money is deposited = T = 16 years

The simple interest is calculated by the formula:

[tex]S.I=\frac{P\times R\times T}{100}\\\$75,000=\frac{\$125,000\times R\times 16}{100}\\R=\frac{$75,000\times 100}{$125,000\times 16}=3.75\% \approx 4\%[/tex]

The simple interest rate need by Teri will be 4%.

Learn more about Simple interest here:

https://brainly.com/question/19222840

#learnwithbrainly

Simple interest rate (R) is 3.75%

Given:

Amount deposit as saving (P) = $125,000

Number of year (n) = 16 year

Amount needed (A) = $200,000

Find:

Simple interest rate (R)

Computation:

Amount of interest (I) = A - P

Amount of interest (I) = 200,000 - 125,000

Amount of interest (I) = 75,000

So,

I = (P)(R)(T)

75,000 = (125,000)(R)(16)

75,000 = 2,000,000(R)

R = 75,000 / 2,000,000

R = 0.0375

Simple interest rate (R) = 3.75%

Learn more:

https://brainly.com/question/22004878?referrer=searchResults

Prove cot(− θ) =− cot(θ)

Answers

Step-by-step explanation:

steps are in the picture.

Note:If you need to ask question about it ,i can make you understand.thanks

A train leaves Chicago for Los Angeles going a constant rate of 40 MPH. Two hours later, another train leaves Chicago for Los Angeles on the same track as the first going a constant rate of 60 MPH.

1. When will the 2nd train catch up to the first train?

2. How many miles will the trains have traveled when they meet?

Answers

Answer:

1 . 4 hrs , 2 . total 400 miles because the first train had travelled 160 miles and 2nd one had travelled 240 miles

Step-by-step explanation:

in 1. use relative motion concept I. e. you sir on 1st train and put velo. of same mag. and in oppo. direction on the train on which you have sit and do the same with the velocity only with 2nd train means you stop the train on which you are sitting and put the velocity of the train on which you are sitting on 2nd train but in oppo. direction , so now the relative velocity comes out to be 20 mph and then apply formula time = Srel / Vrel and here we can find S rel by multiplying the velo. of 1st train by given time I. e. 2 hrs and in 2. multiply the time calculated by us by the velocity of both trains and by which you get the dist. travelled by both trains and then add them to get final answer.

What is the value of U. 51degrees, 79degrees and u.

Answers

Hi ;-)

[tex]u+51^o=79^o\\\\u=79^o-51^o\\\\\huge\boxed{u=28^o}[/tex]

The required equation is,

→ 51° + U = 79°

Now we should,

find the required value of U.

→ 51° + U = 79°

→ U = 79° - 51°

→ [U = 28°]

Let's check whether the required value of U is correct or incorrect,

→ 51° + U = 79°

→ 51° + 28° = 79°

→ 79° = 79°

→ LHS = RHS

Hence, 28° is the required value of U.

which of the following is a singleton set?​

Answers

Step-by-step explanation:

2 option is the answer.

hope it helps

Answer:

ii. is the answer .

Step-by-step explanation:

option ii. is the answer .

Help please! Need answer!! Not test!!!

Answers

There are two ways to list the angles:

1) Simply name them based on the points:

∠W , ∠X , ∠Y , ∠Z

2) The way that I believe that you are supposed to list them in this case. List them as such:

∠WYZ , ∠YZX , ∠ZXW , ∠XWY

~

Evaluate each expression.

Answers

Answer:

125/343

Step-by-step explanation:

This question asks for us to evaluate: (5/7)³

When a number has an exponent, the number gets multiplied by itself according to the amount of the exponent.

(5/7)³

- 5/7 x 5/7 x 5/7

= 25/49 x 5/7

= 125/343

PLEASE HELP WILL MARK BRAINIEST

Answers

Answer:

They're congruent by Side-Angle-Side (SAS)

Step-by-step explanation:

Midpoint Q makes sides LQ and QN equal, as well as MP and QP, so there's a side, depending on which one you choose.

We're told that angle L = angle N, so there's the equal angle.

Finally, we're told that LM = NP, so there's the other side.

a number is less than or equal to -8

Answers

-1 is less then -8
Because I’m right

Answer:

-8, -9, -10, -100, -999, -999.99 etc

Step-by-step explanation:

Anynumber below or same as -8

Tom makes a bet with his friend Bob. Bob wagers $100, but Tom decides to make him a deal. If Bob wins, Tom will pay him $100. If Tom wins, Bob will instead pay $1 for the first day, then every day for 10 days he must match the total amount paid so far.
For the first day, Bob will pay $1. The second day, he will pay an additional dollar, since he has only paid $1 thus far. The third day he will pay $2, the fourth $4, and so on.
If Bob has a 75% chance to win, which of the following is the closest to the amount of money Tom will make on average with this bet?
Possible Answers:
A. -$25
B. $50
C. $0
D. $25
E. $100

Answers

Answer:

B

Step-by-step explanation:

Show work please

[tex]4 \sqrt{9} [/tex]

Answers

Answer:

12

Step-by-step explanation:

[tex]4 \sqrt{9} [/tex]

[tex] \sqrt{9} = \sqrt{ {3}^{2} } = 3[/tex]

[tex]4 \times 3[/tex]

[tex] = 12[/tex]

Question in photo. Please explain it too

Answers

Answer: C) 44 minutes

=============================================================

Explanation:

Let's say that all of the 11 songs are 2 minutes each, which is just a bit under the "2 minute 1 second" mark of the shortest song. I'm going for the lowest time value possible and rounding to the nearest minute.

This would mean the entire album is 2*11 = 22 minutes long. This is the lower bound or the shortest the album can be.

If we go to the other end of the spectrum, and say each song is 6 minutes (I rounded "5 minutes 37 seconds" up to the nearest minute), then the album is now 6*11 = 66 minutes long. This is the upper bound or the longest the album can be.

While we don't know how long the album is exactly, due to the fact we don't know the individual song lengths (other than the shortest and longest songs), we do know 100% that the album length is somewhere between 22 minutes and 66 minutes.

In other words, 22 < x < 66 where x is the album length in minutes.

Of the four answer choices, 44 is the only one that fits, i.e. 22 < 44 < 66.

So I would say 44 minutes is a reasonable estimate. Or better yet, we can rule out 4 minutes, 88 minutes and 10 minutes as they don't fit in the interval 22 < x < 66.

6
4

+
8
4

=start fraction, 4, divided by, 6, end fraction, plus, start fraction, 4, divided by, 8, end fraction, equals

Answers

Step-by-step explanation:

Not sure if I'm right or not but I think your question is

6/4 + 8/4

so I'll solve now

6/4 + 8/4 .........look for the common denominator (4)

6+8/ 4

14/ 4

In decimals = 3.5

In fractions =7/2

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