Which inequality represents all values of x for which the quotient below is defined? Square root 7x2 divide by square root 3x
Answers
Inequalities help us to compare two unequal expressions. The correct option is D.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given expression can be solved as,
[tex]\dfrac{\sqrt{7x^2}}{\sqrt{3x}}\\\\= \dfrac{\sqrt{7}x}{\sqrt{3x}}\\\\= \sqrt{\dfrac{7x}{3}}[/tex]
Since the value of (7x/3) is needed to be positive, therefore, the inequality that represents all the values of x for the quotient is defined as x>1.
Hence, the correct option is D.
The complete question is mentioned in the below question.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ2
Answer: x>0
Step-by-step explanation:
Related Questions
Which algebraic expression is a polynomial with a degree of 4? 5x4 startroot 4 x endroot x5 – 6x4 14x3 x2 9x4 – x3 – startfraction x over 5 endfraction 2x4 – 6x4 startfraction 14 over x endfraction
Answers
The algebraic expression of a polynomial with a degree of 4 is 9x⁴ – x³ – x/5
How to determine the polynomial?For a polynomial to have a degree of 4, the following must be true:
All exponents must be whole numbersThe highest exponent must be 4Using the above highlight, the algebraic expression of a polynomial with a degree of 4 is 9x⁴ – x³ – x/5
Read more about polynomials at:
https://brainly.com/question/4142886
#SPJ4
which part of this graph shows a nonlinear relationship?
1. 4
2. 1
3. 3
4. 2
Answers
Find the probability of rolling factors of 24
Answers
Answer:
5/6
Step-by-step explanation:
The factors of 24 that are on a die are: 1,2,3,4 and 6. This only leaves 5 that isn't a factor of 24. Therefore, since there are 5 possibilities out of the 6 total numbers, the probability of rolling factors of 24 is 5/6.
Pickup a weighs about 1.,500 pounds pickup b weighs 685 kilogram’s which pickup actually weighs more
Answers
Answer:
pickup b
Step-by-step explanation:
Unit conversion :
1 kilogram is about 2.20462262 pounds
Solving :
⇒ Let's convert pickup b's mass into pounds
⇒ mass (pickup b) = 685 × 2.20462262
⇒ mass (pickup b) = 1510 pounds (approximately)
Clearly :
⇒ 1500 < 1510
⇒ mass (pickup a) < mass (pickup b)
Hence, pickup b weighs more.
type the correct answer in the box use nummerals instead of words. if necessary use / for the faction bar
ill mark the brainliest if correct
Answers
Answer: f(y) x g(y) = 1
Step-by-step explanation:
[tex]\frac{2y^3-y^2+2y-1}{y^3-y^2+y-1}\cdot \frac{2y^2-3y+1}{4y^2-4y+1}\\\\= \frac{4y^5-8y^4+9y^3-9y^2+5y-1}{4y^5-8y^4+9y^3-9y^2+5y-1} \\\\= \frac{(y-1)(2y-1)(2y-1)(y^2+1)}{(y-1)(2y-1)(2y-1)(y^2+1)} \\\\= 1[/tex]
THE METHOD TO SOLVE THIS 2 EQUATION IS SUBSTITTUION AND ALGERBRICALLY HERE'S THE EQUATION:
y = -5x -18
y = x
Answers
Answer:
x = 3, y = 3
Step-by-step explanation:
x = -5x -18
5x + 18 = -x
6x + 18 = 0
6x = 18
x = 3
The ratio of pounds of vegetables to pounds of protein on the dinner plate is 5 to 2. IF
there are 25 pounds of vegetables, how many pounds of protein are on the dinner plate?
Answers
Answer:
10 lbs
Step-by-step explanation:
25 is to 5 as x is to 2
25/5 = x/2
2 * 25/5 = x = 10 lbs
Solve two sevenths plus seven fourteenths (2 points)
1 eleven fourteenths
2twelve fourteenths
3 nine seventh
4 eleven sevenths
Answers
Answer:
2/7 + 7/14 = 11/14
Step-by-step explanation:
7 x -2 = -14 Each seventh is going to be worth 2 fourteenths!
This means 2/7 = 4/14
4/14 + 7/14 = 11/14
Answer:
eleven fourteenths
Step-by-step explanation:
Which answer choice shows the numbers ordered from least to greatest?
*
15 points
A) 1/3, 0.333, 3/10, 33%
B) 0.333, 1/3, 3/10, 33%
C) 3/10, 0.333, 1/3, 33%
D) 3/10, 33%, 0.333, 1/
Answers
Answer:
D
Step-by-step explanation:
[tex] \frac{3}{10} = 0.3[/tex]
[tex] \frac{1}{3} = 0.333333333[/tex]
[tex]0.333 = 0.333[/tex]
[tex]33\% = 0.33[/tex]
[tex]0.3 < 0.33 < 0.333 < 0.333333333[/tex]
A square has an area of [tex]18x^{2}[/tex] what is the length of one of its sides
Answers
Answer:
≈4.24x
Step-by-step explanation:
[tex]\sqrt{18} = 4.24[/tex]
Have a nice day! :)
Answer:
18x
Step-by-step explanation:
because itś squared, and the area of a square is always squared, its 18x
A local baseball team is struggling this season, and many fans of the team believe it may be time to replace the head coach. To estimate support for firing the current head coach, a television news station provides a link on its website where fans of the team can respond to the question: "Do you feel the current head coach should be fired?” After 2,367 votes on the website, 79% of those who responded felt the coach should be fired. Which of these describes the type of bias in this survey and a likely direction of the bias in estimating overall support for firing the coach?
This is nonresponse bias. The result overestimates true support for firing the coach.
This is nonresponse bias. The result underestimates true support for firing the coach.
This is voluntary response bias. The result overestimates true support for firing the coach.
This is voluntary response bias. The result underestimates true support for firing the coach.
Answers
The statement third, “This is voluntary response bias. The result overestimates true support for firing the coach” is correct.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
A local baseball team is struggling this season, and many fans of the team believe it may be time to replace the head coach.
Number of votes V(n) = 2367
After the value of V(n) 79% of those who responded felt the coach should be fired.
Based on the data given, we can say this is referred to as voluntary response bias. The outcome exaggerates the level of support for firing the coach.
Thus, the statement third “This is voluntary response bias. The result overestimates true support for firing the coach” is correct.
Learn more about the survey here:
brainly.com/question/17373064
#SPJ1
what is the perimeter of the isosceles trapezoid
Answers
Answer:
The perimeter of this isosceles trapazoid is 49
Step-by-step explanation:
P = 11 + 14 + 2(12)
Spencer surveyed five of his friends to find out how many pets they have. His results are shown in the table below. What is the mean number of pets?
Cody has 1 lara has 4 sam has 5 ella has 3 maria has 2
Answers
The mean of the number of pets which Spencer has surveyed for five of his friends is number 3.
What is mean of the data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.
Spencer has surveyed five of his friends to known that how many pets they have.
His results are shown in the table below. Cody has 1 Lara has 4 Sam has 5 Ella has 3 Maria has 2. There are total 5 friends. Thus the mean number of pets is:
[tex]\text{Mean}=\dfrac{1+4+5+3+2}{5}\\\text{Mean}=\dfrac{15}{5}\\\text{Mean}=3[/tex]
Thus, the mean of the number of pets which Spencer has surveyed for five of his friends is number 3.
Learn more about the mean of the data here;
https://brainly.com/question/14532771
#SPJ1
Consider the following polynomial function with irreducable quadratic factor, find an expression which gives the degree of the polynomial
Answers
An expression that gives the degree of the polynomial is [tex]\rm ax^2+bx+c=0[/tex].
What is an irreducible quadratic factor?An irreducible quadratic factor is an irreducible factor that is quadratic or has the highest exponent of 2.
An irreducible quadratic factor is an irreducible factor that is quadratic or has the highest exponent of 2.
A nonlinear equation is one in which the maximum degree of a term is two or more than two. When the polynomial equation is with degree two, then it is called a quadratic equation, and it is represented by a standard expression;
[tex]\rm ax^2+bx+c=0[/tex]
Where a is not equal to 0.
The degree of the polynomial is 2.
A quadratic polynomial can be further divided into linear factors. Now, simplify one of the quadratic expressions by completing the square method, which gives two linear factors.
Hence, an expression that gives the degree of the polynomial is [tex]\rm ax^2+bx+c=0[/tex].
Learn more about irreducible quadratic factors here;
https://brainly.com/question/5766986
#SPJ4
A dog’s weight dropped to 62 kg after its weight decreased by 7%. What was the dog’s original weight?
Answers
Answer:
original weight= mass/weight
62kg/7
Step-by-step explanation:
8.85 original weight
What is the equation 8x-3y=6-4x in Stanford form?
Answers
Answer:
[tex]12x - 3y = 6[/tex]
Step-by-step explanation:
Standard form is written this way: [tex]Ax+By=C[/tex]
However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.
So, to do this, we have to combine like terms.
The only like terms that can be combined are -4x and 8x.
So, we add 4x to both sides, and we get: [tex]12x - 3y = 6[/tex].
A decimal number is multiplied by 10². Which statement describes the change in position of the decimal point in the decimal number as a result of the multiplication?
QUICK PLEASE AND THANK YOU
A. The decimal point moves 2 places to the left.
B. The decimal point moves 10 places to the left.
C. The decimal point moves 2 places to the right.
D. The decimal point moves 10 places to the right.
Answers
Answer:
C.
Step-by-step explanation:
10^2=100
100 shifts the decimal point 2 places to the right
Please help i will give you 100 points
Answers
x = 50.5°
Explanation:In order to solve, get to know about the sine rule:
[tex]\bf Sine \ Rule = \dfrac{A}{sinA} = \dfrac{B}{sinB}= \dfrac{C}{sinC}[/tex]
Solve for BD:[tex]\sf \dfrac{BD}{sin(50)} = \dfrac{5.6}{sin(78)}[/tex]
[tex]\sf BD = \dfrac{5.6(sin(50))}{sin(78)}[/tex]
[tex]\sf BD = 4.385686657 \ cm[/tex]
Then find angle D = 180° - 78° = 102°
Solve for angle C[tex]\sf \dfrac{4.385686657}{sinC} = \dfrac{9.3}{sin(102)}[/tex]
[tex]\sf C = sin^{-1}(\dfrac{4.385686657sin(102)}{9.3} )[/tex]
[tex]\sf C = 27.37 ^{\circ \:}[/tex]
Total Sum of interior angles of a triangle is 180°[tex]\sf B + C + D = 180^\circ[/tex]
[tex]\sf x + 27.37^\circ + 102^\circ = 180^\circ[/tex]
[tex]\sf x = 180^\circ - 102^\circ - 27.37^\circ[/tex]
[tex]\sf x = 50.53^\circ[/tex]
[tex]\sf x = 50.5^\circ \ \ \ (rounded \ to \ nearest \ 3 \ significant \ figure)[/tex]
Answer:
x = 50.5° (3 sf)
Step-by-step explanation:
Sine Rule for side lengths
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Find BD:
[tex]\implies \sf \dfrac{BD}{\sin BAD}=\dfrac{AB}{\sin BDA}[/tex]
[tex]\implies \sf \dfrac{BD}{\sin 50^{\circ}}=\dfrac{5.6}{\sin 78^{\circ}}[/tex]
[tex]\implies \sf BD=\dfrac{5.6\:sin 50^{\circ}}{\sin 78^{\circ}}[/tex]
[tex]\implies \sf BD=4.385686657...cm[/tex]
Angles on a straight line sum to 180°
⇒ ∠ADB + ∠BDC = 180°
⇒ 78° + ∠BDC = 180°
⇒ ∠BDC = 102°
Sine Rule for angles
[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Find ∠BCD:
[tex]\implies \sf \dfrac{\sin BCD}{BD}=\dfrac{\sin BDC}{BC}[/tex]
[tex]\implies \sf \dfrac{\sin BCD}{4.385...}=\dfrac{\sin 102^{\circ}}{9.3}[/tex]
[tex]\implies \sf BCD=\sin^{-1}\left(\dfrac{4.385...\sin 102^{\circ}}{9.3}\right)[/tex]
[tex]\implies \sf BCD=27.46935172...^{\circ}[/tex]
The interior angles of a triangle sum to 180°
⇒ ∠CBD + ∠BDC + ∠BCD = 180°
⇒ x + 102° + 27.469...° = 180°
⇒ x = 50.53064828...°
⇒ x = 50.5° (3 sf)
group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table. A 4-column table with 3 rows. The first column has no label with entries Spanish, not Spanish, total. The second column is labeled French with entries 5, 30, 35. The third column is labeled not French with entries 63, 2, 65. The fourth column is labeled total with entries 68, 32, 100. Which statements are correct? Check all that apply. 5 students study both French and Spanish. 63 students study French. 2 students study neither French nor Spanish. 30 students study French, but not Spanish. 63 students study Spanish
Answers
The statements which are correct include the following:
5 students study both French and Spanish.2 students study neither French nor Spanish.30 students study French, but not Spanish.ParametersThe table given shows that:
5 students study both French and Spanish.63 students study Spanish but not French.68 students study Spanish.30 students study French, but not Spanish.2 students study neither French nor Spanish.35 students study French.This therefore results in the conclusion that option 1,3 and 4 are
the most appropriate options.
Read more about Distribution here https://brainly.com/question/1094036
A single card is drawn from a standard deck of cards. Find the probability of drawing a club or a diamond.
Answers
Answer:
1/10
Step-by-step explanation:
Monômios
[tex]2x^{3}+5x-3x^{2} +x-6+2x^{2}=[/tex]
Answers
hope this helps
What are the vertical asymptotes
Answers
Hope this helps!
Math question 10 question PLSSS HELP
Answers
Answer:
A
Step-by-step explanation:
if it is at least -27 it will be greater than or equal to -27
A recent study found that the average length of caterpillars was 2.8 centimeters with a
standard deviation of 0.7 centimeters. what is the probability that a randomly selected caterpillar will have a
length longer than (greater than) 4.0 centimeters?
Answers
Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 2.8, \sigma = 0.7[/tex].
The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is one subtracted by the p-value of Z when X = 4, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4 - 2.8}{0.7}[/tex]
Z = 1.71
Z = 1.71 has a p-value of 0.9564.
1 - 0.9564 = 0.0436.
0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
Help me this pls as soon as possible this is due today!!!
Answers
Answer:
pls refer to given attachemnt
What is the solution to the following question
Answers
Answer:
3
Step-by-step explanation:
2(x + 1) = 3(5 - x) + 2
Distribute,
2(x + 1) = 3(5 - x) + 2
2x + 2 = 3(5 - x) + 2
Rearrange terms,
2x + 2 = 3(5 - x) + 2
2x + 2 = 3(-x + 5) + 2
Distribute,
2x + 2 = 3(-x + 5) + 2
2x + 2 = -3x + 15 + 2
Add the numbers,
2x + 2 = -3x + 15 + 2
2x + 2 = -3x + 17
Subtract 2 from both sides,
2x + 2 = -3x + 17
2x + 2 - 2 = -3x + 17 - 2
2x = -3x + 17 - 2
2x = -3x + 15
Add 3x to both sides,
2x = -3x + 15
2x + 3x = -3x + 3x + 15
5x = -3x + 3x + 15
5x = 15
Divide both sides by the same factor (15),
5x = 15
5x/5 = 15/5
x = 15/5
x = 3
Hence, the answer is 3.
i want to know the answer
Answers
Answer: Heyaa!~
Your Answer is... 15/2 in its exact form!
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Hopefully this helps you! ~
You invest $5000 in an account to save for college.
The account pays 5% annually and compounds continuously.
What would be the account balance after 4 years.
Answers
Answer:
5000 multiplied by 0.05 multiplied by 4
Step-by-step explanation:
you should get 1000. :D next you add 1000 to the orginal 5000 to get 6000!
The price of of a mathematical set. was Ugx 2400 a month ago,and now it is Ugx 3000 - Find The percentage increase
Answers
Step-by-step explanation:
[tex]Another example , when a straight wire is moved up and down rapidly between the two poles of a horseshoe magnet , then an electric current is produced in the wire. This is also an example of electromagnetic induction .
In the figure QU=ST
What is the length of QR?
Answers
Answer:
the answer is 80
Step-by-step explanation:
QR=ST: 7x+3=5x+25
2x=22
x=11
7(11)+3=80 5(11)+25=80
