Answers
Answer:
x is in the range [-1,4]
Step-by-step explanation:
I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.
We are given the following inequality:
| 2x - 3 | <= 5
This implies two possible cases:
[1] -5 <= 2x -3
Or
[2] 2x - 3 <= 5
So let's solve x for both of these cases:
[1] -5 <= 2x - 3
-2 <= 2x
-1 <= x
[2] 2x - 3 <= 5
2x <= 8
x <= 4
So from these cases, we can say the following is true:
x >= -1 and x <= 4
Thus, we can write this in the form
-1 <= x <= 4
Or in interval notation:
{ x is element of reals | -1 <= x <= 4}
Also written as
x is in the range [-1,4]
Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.
Cheers.
Related Questions
If anyone can understand this can somebody help me please?
Answers
Answer:
I am so sorry i am confused.
The current student population of Salt Lake City is 3000. If the population increases at a rate of 17.4% each year. What will the student population be in 10 years?
Answers
Answer:
Step-by-step explanation:New York City 18,804,000
Los Angeles 12,447,000
Chicago 8,865,000
Houston 6,371,000
Dallas-Fort Worth 6,301,000
Miami 6,122,000
Atlanta 5,803,000
Philadelphia 5,717,000
Washington DC 5,322,000
Phoenix 4,511,000
Boston 4,309,000
Detroit 3,548,000
Seattle 3,433,000
San Francisco 3,314,000
San Diego 3,251,000
Minneapolis 2,926,000
Tampa 2,877,000
Denver 2,827,000
Las Vegas 2,699,000
Riverside-San Bernardino 2,469,000
Baltimore 2,325,000
San Antonio 2,320,000
St. Louis 2,213,000
Portland 2,151,000
Sacramento 2,123,000
Charlotte 2,054,000
Austin 2,053,000
Orlando 1,964,000
Indianapolis 1,807,000
San Jose 1,791,000
Cleveland 1,763,000
Cincinnati 1,746,000
Pittsburgh 1,704,000
Kansas City 1,686,000
Columbus 1,644,000
Virginia Beach 1,477,000
Raleigh 1,444,000
Milwaukee 1,439,000
Jacksonville 1,280,000
Nashville 1,249,000
Providence 1,200,000
Salt Lake City 1,169,000
Memphis 1,150,000
Richmond 1,105,000
Louisville 1,089,000
McAllen 1,012,000
Hartford 999,000
New Orleans 992,000
Oklahoma City 989,000
Tucson 982,000
Bridgeport-Stamford 953,000
El Paso 951,000
Albuquerque 915,000
Honolulu 892,000
Buffalo 891,000
Cape Coral 851,000
Temecula-Murrieta 848,000
Birmingham 842,000
Omaha 835,000
Fresno 769,000
Provo-Orem 766,000
Tulsa 766,000
Allentown 763,000
Rochester 743,000
Dayton 741,000
Knoxville 741,000
Sarasota-Bradenton 736,000
Baton Rouge 734,000
Columbia, South Carolina 716,000
Ogden-Layton 711,000
Charleston-North Charleston 708,000
Bakersfield 691,000
Concord 683,000
Springfield 669,000
Colorado Springs 668,000
Mission Viejo 636,000
Albany 630,000
Grand Rapids 599,000
New Haven 593,000
The Woodlands 570,000
Akron 565,000
Worcester 548,000
Des Moines 544,000
Harrisburg 542,000
Victorville-Hesperia-Apple Valley 537,000
Greenville 529,000
Kissimmee 528,000
Wichita 527,000
Port St. Lucie 521,000
Palm Bay-Melbourne 519,000
Little Rock 514,000
Toledo 509,000
Winston-Salem 509,000
Poughkeepsie-Newburgh 507,000
Fayetteville-Springdale 504,000
Reno 504,000
Lancaster 497,000
Lancaster-Palmdale 491,000
Madison 487,000
Daytona Beach-Port Orange 476,000
Indio-Cathedral City-Palm Springs 467,000
Boise City 447,000
Spokane 447,000
Denton-Lewisville 445,000
Augusta-Richmond County 444,000
Stockton 436,000
Bonita Springs-Naples 434,000
Chattanooga 421,000
Jackson, Mississippi 420,000
Syracuse 420,000
Durham 418,000
Modesto 411,000
Concord 401,000
Visalia 401,000
Oxnard 397,000
Santa Clarita 392,000
Huntsville 384,000
Myrtle Beach 377,000
Scranton 375,000
Round Lake Beach-McHenry-Grayslake 370,000
Greensboro 361,000
Lafayette 358,000
Youngstown 357,000
Pensacola 355,000
Asheville 354,000
Antioch 353,000
Montgomery 352,000
Corpus Christi 347,000
Fayetteville 347,000
Springfield, Missouri 347,000
Flint 345,000
Lakeland 344,000
Fort Wayne 340,000
Fort Collins 337,000
Lexington-Fayette 334,000
Mobile 333,000
Santa Rosa 331,000
Trenton 329,000
Ann Arbor 328,000
Lansing 326,000
Rockford 324,000
Savannah 324,000
Shreveport 322,000
Laredo 315,000
Will give brainliest answer
Answers
Answer: (-3 , 6)
dhtyjmkuhluyjtefey
Matthew drove 189 miles in 7 hours. If he continued at the same rate, how long would
it take to travel 297 miles?
Answers
Answer:
11 hours
Step-by-step explanation:
on delta math
Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
2
59
51
3
Answers
Answer:
b
Step-by-step explanation:
Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
2
59
51
3
Jada can read 3/5 of a book in 1/4 of an hour. How long would it take her to read one whole
book?
Answers
Answer:
25 Minutes
Step-by-step explanation:
Well, 1/4 of an hour is obviously 15 minutes. So if she read 3/5 of the book in 15 minutes, you have to find how long it took her to read 1/5 of the book. If 15 minutes is 3/5, then 15/3 is 5, which is the time it took to read 1/5 of the book. You add 10 to 15 and you get 25. I hope this helps!
If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book
Time taken to read 3/5 of the book = 1/4 hours
To get the time taken to read 1 book, we will divide 1/4 hours by 3/5
Time taken to read 1 book = [tex]\frac{1}{4}\div \frac{3}{5}[/tex]
The division sign changes to multiplication and 3/5 is changed to its reciprocal (5/3)
Time taken to read 1 book = [tex]\frac{1}{4}\times\frac{5}{3}[/tex]
Time taken to read 1 book = [tex]\frac{5}{12}[/tex]
If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book
Learn more here: https://brainly.com/question/17478879
22 - [1/2 • (5 x 4) + 4]
Answers
Find the unknown angle
Answers
Answer:
V=70° P=110° U=70° T=70° S=110° R=70°
Step-by-step explanation:
Adjacent Angles equal the same thing (The ones on opposite sides). A straight line must equal 180°.
180°-110° makes V° equal 70°.
Answer:
there are two p. so, i had made upper p as a.
leah runs 1/2 a mile in 15 minutes how far do leah run in one hour?
Answers
Answer:
she runs 2 miles
Step-by-step explanation:
basic math
Factor x^2 + 9x = -20
Answers
Answer:
(x +5) (x +4) = 0
Step-by-step explanation:
x^2 + 9x +20 = 0
x^2 + 4x + 5x +20 = 0
x(x + 4) + 5(x + 4) = 0
(x +5) (x +4) = 0
Answer:
see below
Step-by-step explanation:
x^2 + 9x = -20
x^2 + 9x + 20 = 0
factor the expression
(x + a)(x + b)
a + b = 9
a = 4
b = 5
ab = 20
rewrite the factor expression:
(x + 4) (x + 5)
x + 4 = 0 and x + 5 = 0
therefore,
x = -4
x = -5
if you earn 1425 dollars by working 5 days a week and get a bonus of 200 how much money do i earn a day
Answers
Answer:
You will earn $285 a day but with the bonus you will earn $485.
Step-by-step explanation:
Do you need an explanation?
which of the following is an equation of the line that passes through the point (-2, 3) and is perpendicular to the graph of the equation y=3x-2?
Answers
Answer:
Step-by-step explanation:
perp. -1/3
y - 3 = -1/3(x + 2)
y - 3 = -1/3x - 2/3
y - 9/3 = -1/3x -2/3
y = -1/3x + 7/3
is -6.5 a rational number.
pls idk and I really need help
Answers
Answer:
it is!!
Step-by-step explanation:
it terminates after the tenths place, therefore, it can be made into a terminating decimal, which means its rational!! can i maybe get brainliest :D at least a thanks or a rating :D
3x+6=27
please help me! :)
Answers
3x7=21
21+6=37
That’d why I’m correct
Answer: x=7
Step-by-step explanation:
3x+6=27
3x=27-6
3x=21
Divide both sides by 3
x=7
Sergio is working on a research project involving the ages of students at Brooklyn College. After interviewing 500 students, he has determined that the average age of a Brooklyn College student is 20 years and 6 months. He has further determined that the range of ages of the students on campus follows a normal distribution with a standard deviation of 2 years. What is the probability of a randomly chosen student being exactly 21 years old
Answers
Answer:
The probability of of a randomly chosen student being exactly 21 years old.
= 1.293
Step-by-step explanation:
Step(i):-
Given Population size n = 500
Mean of the Population = 20 years and 6 months
= [tex]20 + \frac{6}{12} = 20 +0.5 = 20.5 years[/tex]
Standard deviation of the Population = 2 years
Let 'X' be the range of ages of the students on campus follows a normal distribution
Let x =21
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{x-mean}{S.D} = \frac{21-20.6}{2} =0.2[/tex]
The probability of a randomly chosen student being exactly 21 years old.
P( Z≤21) = 0.5 + A( 0.2)
= 0.5 +0.793
= 1.293
Rewrite each expression without a negative exponent none of the above
x^-1
Answers
Answer:
x^-1
x^1
Step-by-step explanation:
Oooops ...can you please repeat ur Question
Answer:
=1/x
Step-by-step explanation:
x^-1=1/x
Please mark it as brainliast
Melissa has a bag that contains 6 red marbles , 8 yellow marbles, and 18 blue marbles. If she choose one marble from the bag , what is the probability that the marble is not blue
Answers
Answer:
7/16
Step-by-step explanation:
There are a total of 32 marbles. Of these marbles, 14 are not blue. So the probability is 14/32, or 7/16.
If a = 2, b = -3 and c = -4, evaluate |a - 5| - 1
Answers
Answer:
2
Step-by-step explanation:
the absolute value of a-5 is 3, 3-1 is 2
Answer:
2
Step-by-step explanation:
1) I a - 5 I = 3 because -2 - 5 equals -3, but the absolute value of -3 is 3.
2) 3 - 1 = 2
Hope this helps!
Find each product. Then determine which conclusion can be drawn based on the results.
√2•√2
√5•√7
√ 2•18
√2•√6
A. The product of two irrational numbers is always rational.
B. The product of two irrational numbers can be rational or irrational.
C. The product of two irrational numbers is always irrational.
D. The product of two irrational numbers cannot be determined.
Answers
Answer:
B. The product of two irrational numbers can be rational or irrational.
Step-by-step explanation:
An irrational number is a number that is real and it cannot be written or expressed as a fraction.
For example , 2√3, √5 are irrational numbers.
A rational number is a number that is real and can be expressed as a fraction. It is a whole number. For example: 5, 7 are rational numbers
In the above question, we are a pair of rational and irrational number, 2 irrational numbers and we are asked to draw conclusions from their product
a) √2•√2 = √2 × √2 = √4 = 2 = rational number
b) √5•√7 = √5 × √7 = √35 = Irrational number
c) √2•18 = √2 × 18 = 18√2 = Irrational number
d) √2•√6 = √2 × √6 = √12 = Irrational number.
My conclusion from the above results is option B, which states that
B. The product of two irrational numbers can be rational or irrational.
TRY IT
Using Grouping Symbols (A)
What mistake did Parker make
Answers
Tyler wants to use $300 he has saved to buy a new guitar and join a music club. The guitar costs $140. The music club has a $25 membership fee, and for $11.95 per month, members can download 30 songs. Tyler can afford the music club membership for____ months, after which he will have_____ left.
Answers
Answer:
11 months ; $3.55
Step-by-step explanation:
Amount saved = $300
Cost of guitar = $140
Membership fee = $25
Monthly fee = $11.95
For how manyonths can Tyler afford the membership :
The one time fee = (membership fee + cost of guitar)
= $140 + $25 = $165
Amount left = $300 - $165
Amount left = $135
Number of monthly fee the balance can afford :
Amount left / monthly fee
= $135 / $11.95
= 11.29
Hence, the number of months he can pay for is 11 months
Amount left = $135 - ($11.95 * 11 months)
$135 - $131.45
= $3.55
Use the drawing tools to form the correct answer on the graph.
Plot a line for the axis of symmetry of this quadratic function. Also mark the x-intercept(s), y-intercept, and vertex of the function.
f(x) = 3(x + 3)(x + 1)
Answers
Answer:
Step-by-step explanation:
2 MATH QUESTIONS 20 POINTS
Answers
Answer:
C would be on the inverse of the function
Maya's credit card has an APR of 11.84% and a billing cycle of 30 days. The table below shows her transactions with
that credit card in the month of September
Date
9/1
9/8
9/13
9/26
Amount ($) Transaction
395.61 Beginning balance
24.13 Purchase
68.57 Payment
31.77 Purchase
Find Maya's finance charge for September using the previous balance method, the adjusted balance method, and the
daily balance method. Among those three possible finance charges, what is the value of the one which is neither lowest
nor highest?
a $3.79
b. $3.90
C. $3.68
d. $4.45
Answers
Answer:
C. $3.68
Step-by-step explanation:
I took the test
Based on the three possible finance charges, the value of the one that is neither lowest nor highest is $3.68.
What is a finance charge?A finance charge is regarded as the cost incurred when a person borrows money and it often includes interest and other fees.
To find the finance charges, the formula is:
= Amount transacted x Interest rate / 12 months
395.61 x [tex]\frac{11.84}{100}[/tex] / 12
= 3.68
Therefore the correct option is option c.
Learn more about billing cycle from
https://brainly.com/question/19268577
A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes.The coordinates after both reflections are x’( ), Y’( ), and Z’( )
Answers
Answer:
x'(-3,-2), y' (-5,1), z'(2,-3) (this one was difficult to answer because pictures help me answer something like this easier not sure if it is 100% correct if not im sorry)
Step-by-step explanation:
(x^2+14x+48)/(x+8) using long division to find the quotient answers are A.)x+6 B.)x+40 C.)x-40 D)x-6
Answers
Answer:
A
Step-by-step explanation:
Please see attached work. It’s been color coded for clarity.
Mark Brainliest please. These answers require a lot of effort.
Answer:
=a
Step-by-step explanation:
i think it must be help you
im not sure what im doing wrong? i feel like i did it correctly but it says i didnt so i want to make sure
Answers
what is an axiomatic system
Answers
Answer:
n mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.
answer from wikipedia
hope this helped (:
Answer:
an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.
Step-by-step explanation:
help me out with this
Answers
Answer:
Age Frequency
20-29 Answer: 1
30-39 Answer: 6
40-49 Answer: 8
50-59 Answer: 5
60-69 Answer: 6
70-79 Answer: 3
80-89 Answer: 1
Evaluate (-32)^-4/5 . Do not leave any exponents in your answer.
Answers
Answer:
1/16Step-by-step explanation:
(-32)^-4/5 =(-2^5)^-4/5 =(-2)^-(5*4/5) =(-2)^ -4=16^-1=1/16