which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2

Which Inequality Represents All Values Of X For Which The Quotient Below Is Defined? 15(x-1) 2^2

Answers

Answer 1

Answer:

Option D: x ≥ 1.

Step-by-step explanation:

Here we have the quotient:

[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]

Here we have two restrictions for the domain.

first, the denominator can never be zero, so x must be different than zero.

Second, the arguments of the square roots can not be negative.

The one in the denominator is always positive because we have the square of x.

So let's look at the values of x, such that:

15*(x - 1) ≥ 0

(x - 1) ≥ 0

x ≥  1

Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:

x ≥ 1.

The correct option is D


Related Questions

identify the maximum and minimum values of the function y=10cosx in the interval [-2pie, 2pie]. Use your understanding of transformations, not your graphing calculator.

Answers

Answer:

3 x + 2 y + z/ x + y + z ,  x = 2 ,  y = 3 ,  z = 1

tan ( x ) ,  x = − π

cot ( 3 x ) ,  x = 2 π /3

Step-by-step explanation:

using the diagram below, what is the measure of ∠E?

Answers

Step-by-step explanation:

angle e = 50 degree,,,,,,,

find the inverse matrix or type none use decimals [3 2
4 1]

Answers

Answer:

none

Step-by-step explanation:

accellus

The inverse matrix or type none of the given matrix is given as [tex]\rm A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex].

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrix is given below.

[tex]A = \begin{bmatrix}3& 2\\4 & 1 \\\end{bmatrix}[/tex]

Then the transpose of a will be

[tex]\rm adj \ A = \begin{bmatrix}a_{11} & a_{21} \\a_{12} & a_{22} \\\end{bmatrix}\\\\\rm adj \ A = \begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}[/tex]

Then the value of matrix A will be

[tex]\rm \left| A \right|= \begin{vmatrix}3& 2\\4 & 1\end{vmatrix}\\\\\left| A \right|= 3*1 - 4*2\\\\|A| = -5[/tex]

Then the inverse matrix is defined as

A⁻¹ = Adj A / |A|

Then we have

[tex]\rm A^{-1} = \dfrac{\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}}{-5}\\\\\\A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex]

More about the matrix link is given below.

https://brainly.com/question/9967572

#SPJ2

Please help asap!!! I'm in hurry please help ​

Answers

Step-by-step explanation:

so, what are we supposed to do with that ?

you forgot to tell us that.

adding them ?

transforming then into expressions of x and y ?

... ?

How many possible outcomes do you have when you role 4 dice

Answers

Answer:

1296

Step-by-step explanation:

6^4

can you help me do this Question if you can?

Answers

Answer:

A

Step-by-step explanation:

Use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

no pueden hablar otra idioma

Mrs.Carlyle bought a bag of peanuts for her children. When Phillip, Joy, Brent, abd Preston came home from school, they each took some peanuts from the bag.

Answers

Whats the question?

This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A
B
C
DF
Frequency 5
10
15
3
2.
Find the probability that a student earns a
grade of D or F.
p = [?]
Enter a decimal rounded to the nearest hundredth.

Answers

Answer:

Answer is 0.14.

Step-by-step explanation:

The probability that a student earns a grade of D or F is 0.14.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the probability that a student earns a grade of D or F, we need to add the frequencies of these two grades and divide by the total number of students:

P(D or F) = (3 + 2) / 35

P(D or F) = 5 / 35

P(D or F) = 0.14 (rounded to the nearest hundredth)

Therefore,

The probability that a student earns a grade of D or F is 0.14.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ7

Question 2 of 10
The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?

Answers

Answer:

option C is correct

x^4 - x^2 - 2.5

If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions are g(x) and f(x) are given below.

f(x) = x⁴-x²

g(x) = x⁴-x²+2.5

We know that if we add any constant c in the function then it gets shifted upward by the c unit.

The graph is shown.

More about the function link is given below.

brainly.com/question/5245372

#SPJ7

Write in the form a to the power of k, where a is a prime number and k is rational
[tex]\sqrt[4]{27}[/tex]

Answers

The answer is 3 to the 3/4 power.

help pls i’m very confused

Answers

Hello,

A=(1,2) ==> A'=(1,2)+(1,1)=(2,3)

B=(6,2) ==> B'=(6,2)+(1,1)=(7,3)

C=(4,4) ==> C'=(4,4)+(1,1)=(5,5)

D=(1,4) ==> D'=(1,4)+(1,1)=(2,5)

Mrs Nu paid $2083 for 2 smiler laptops and 3 similar earphones. Each laptop cost of each earphones?​

Answers

Answer:

Step-by-step explanation:

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

Or

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

pls help me don't know what to do

Answers

Answer:

x=15

Step-by-step explanation:

The 60 degree angle and the (x+45) degree angle are both the same degree because they are vertical angles.

So to solve, just subtract 45 from 60

60-45=15

That's your answer!

Hope this helps!

Cinco estudiantes tienen x canicas cada uno. Cuando reúnen todos sus canicas, la cantidad reunida es menor que 45

Answers

The inequality that represents the statement on the number of marbles that the students have is 5x < 45.

What inequality represents the situation?

The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x

This total is less than 45 however so the inequality will be:

(5 × x ) < 45

5x < 45

Find out more on inequalities at https://brainly.com/question/2501321.

#SPJ1

What is the result of subtracting the second equation from the first?
-2x+y = 0
-7x+3y = 2

Answers

Answer:

-5x + 2y=2

Step-by-step explanation:

[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]

Someone help, I suck at math

Answers

option A.55°

Answer:

Solution given:

<x+<y=<z

exterior angle of a triangle is equal to the sum of two opposite interior angle

4n-18+n+8=133-6n

5n+6n=133+10

11n=143

n=143/11

n=13

exterior angle =133-6*13=55°

option A.55°

A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?

Answers

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

f(x) = 2x^2 Find f (-6)​

Answers

Answer:

[tex]72[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2[/tex]

replace x with -6

[tex]f(-6)=2(-6)^2[/tex]

exponent

[tex]f(-6)=2(36)[/tex]

multiply

[tex]f(-6)=72[/tex]

Solve the equation and enter the value of x below. 2 + 5(x - 9) = -18​

Answers

Answer:

x=5

Step-by-step explanation:

Distributive Property

[tex]2+5x-45=-18\\5x=-18+45-2\\5x=25\\x=5[/tex]

x=5

Hope this helped! Please mark brainliest :)

3 is subtrated from 9 times 2 and 5 is added

Answers

Answer:

20

Step-by-step explanation:

9*2-3+5

18-3+5

15+5

20

Answer:

Its 20

Step-by-step explanation:

9 x 2 = 18

18 - 3 = 15

15 + 5 = 20

What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?

Answers

Answer:

[tex]y=3x-17[/tex]

Step-by-step explanation:

Parallel equations always share a slope.

So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]

[tex]-5=3(4)+b[/tex]

simplify both sides

[tex]-5=12+b[/tex]

isolate the variable

[tex]-17=b[/tex]

plug [tex]b[/tex] back into the equation and you get

[tex]y=3x-17[/tex]

Answer:

y = 3 x + 11

 Explanation:

Parallel lines have the same slopes.

The slope of the new line will have the same slope as the given line:

y = 3 x − 4

⇒ m = 3

One point on the line is given,  

( − 2  5 ) .

This is  ( x 1  y 1 )

The formula for slope is  

m = ( change in y values/ change in x-values ) =  y 2  −  y 1/ x 2 − x 1

If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.

y  −  y 1 =  m  ( x  −  x 1 )  

y  −  5  =  3 ( x  −  ( − 2 ) )

y  −  5  =  3 ( x + 2 )

Simplify to get the required equation of the line.

y  =  3 x  +  6  +  5

y  =  3 x  +  11

Step-by-step explanation:


Can any one help me with all these 3 questions? Thank you if you helped :)

Answers

8. rational, integer whole

Answer: Answer already been answered credits to that person give that person brainliest

Step-by-step explanation:

the question is on the image

Answers

Answer:

€3,551.05

Step-by-step explanation:

31*29=899

899*3.65=€3,551.05

the school will get an estimate of €3,551.05

Hey there I need some assistance need on this problem. What do I mean by checkpoints and how am I supposed to find the y-intercept and the slope from the given values?​

Answers

Slope Formula: y2 - y1 / x2 - x1

(m and slope represent the same quantity)

m = 1 - - 5 / -4 - 0

m = 1 + 5 / -4

m = 6 / -4

m = -3/2

Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).

y = -3/2x + b

1 = -3/2(-4) + b

1 = 6 + b

b = -5

In point form, the y-intercept is (0, -5).

Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.

Equation: y = -3/2 x - 5

To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.

-14 = -3/2(-6) - 5

-14 = 9 - 5

-14 = 4

-14 does not equal 4, therefore the point is NOT on the line.

Hope this helps!


Over what interval is the parabola below decreasing?

Answers

I think it’s the first answer choice

please I need answer right now ppleassssee

D. -1/4+-2/3
with explanation pleaseeee​

Answers

Answer:

1 - 1/3

Step-by-step explanation:

Since 1/2 * 2/3 = 1/3, it should be the case that 1/3 divided by 2/3 gives 1/2 and that 1/3 divided by 1/2 gives 2/3. To divide fractions, we multiply the numerator by the reciprocal of the denominator, where the reciprocal of a number just interchanges the numerator and denominator of the number.

Use the integer tiles to evaluate the following expressions. 6 + 3 = 6 + (–4) = 6 + (–6) =

Answers

Given:

The expressions are:

[tex]6+3[/tex]

[tex]6+(-4)[/tex]

[tex]6+(-6)[/tex]

To find:

The value of given expression by using integer tiles.

Solution:

We have,

[tex]6+3[/tex]

Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,

[tex]6+3=9[/tex]

Similarly,

[tex]6+(-4)[/tex]

Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,

[tex]6+(-4)=2[/tex]

[tex]6+(-6)[/tex]

Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,

[tex]6+(-6)=0[/tex]

Therefore, [tex]6+3=9, 6+(-4)=2,6+(-6)=0[/tex].

Answer:

1=9

2=2

3=0

Step-by-step explanation:

What is the common ratio of the geometric sequence 6,4,8/3,16/9,...
r = 2
r = 2/3
r = -2
r = 3/2

Answers

The common ratio of the geometric sequence is: B. r = 2/3.

How to Find the Common Ratio of a Geometric Sequence?

The common ratio of a geometric sequence is determined by taking the last term and divide by the preceding term.

Given the geometric sequence, 6,4,8/3,16/9,..., the common ratio is calculated as follows:

16/9 ÷ 8/3 = 16/9 × 3/8 = 2/3 × 1/1 = 2/3

Or

8/3 ÷ 4 = 8/3 × 1/4 = 2/3

Or

4/6 = 2/3

Therefore, the common ratio of the geometric sequence is: B. r = 2/3.

Learn more about common ratio on:

https://brainly.com/question/1509142

#SPJ1

(2.5, 1.3, 2.2, x), mean = 1.8

Answers

Answer:

please mark me a brainliest

[tex] \frac{2.5 + 1.3 + 2.2 + x}{4} = 1.8[/tex]

[tex] \frac{6 + x}{4} = 1.8[/tex]

6 + X = 1.8 * 4

6 + X = 7.2

X = 7.2 - 6

X = 1.2

So therefore the value of X is 1.2

Step-by-step explanation:

Have a good day

Have a good day And I hope this will help

Other Questions
To what extent does Eric Foner believe the Fourteenth Amendment has secured rights for all Americans? Nikola thinks that the model that reflects the growth of smartphones shipped from manufacturers to stores around the world may be logistic rather than exponential. Do you agree with Nikola Solve the system of linear equations below.6x + 3y = 334x + y = 15A. x = 2, y = 7B. x = -13, y = 7C. x = - 2/3, y = 12 2/3D. x = 5, y = 1 Decrease 19064.67 by 9.5%Give your answer rounded to 2 DP. (decimal place)Please Help !!! Help me please guys a) Read section 1.5 in the Yakir textbook. If you were a teacher and had 30 students in your class and wanted to know the class average on the first quiz, would you use a parameter or a statistic Although Tamara seems to be of average weight and height, her roommate notices that she has some potentially unhealthy eating behaviors. A few days after they go grocery shopping, many of the high calorie, rich foods turn up missing. Her roommate also notices that Tamara spends hours upon hours at the gym and often takes laxatives. Tamara's roommate is concerned that Tamara may be struggling with _____ Find the length of side xx in simplest radical form with a rational denominator. The writer in 'A Child is Born' talks about the similarities and differences in: * Write one advantage of MKS system over CGS system. what is the meaning of multi-party democracy Can someone help me with this math homework please! There is a proverb "anything worth doing is worth doing well." Do you think an economist would agree with this proverb? A. No, because doing something well has no next best alternatives with which to compare. B. Yes, because the marginal of extra effort is typically as effort increases. C. Yes, because doing something to the best of your ability is optimizing behavior. D. No, because the marginal cost of extra effort may be greater than the marginal benefit. E. , because the total net benefit of extra effort is by definition. Calculate the solubility (in mol/L) of Fe(OH)3 (Ksp = 4.0 x 10^-38) in each of the following situations: (A) Pure water (assume that the pH is 7.0 and remains constant). (B) A solution buffered at pH = 5.0. (C) A solution buffered at pH = 11.0. Cmo era la situacin de la mujer durante la colonia After managers have implemented a decision, they must determine whether it has accomplished the desired result, this is called ______. The balance sheets of Davidson Corporation reported net fixed assets of $340,000 at the end of 2016. The fixed-asset turnover ratio for 2016 was 3.0, and sales for the year totaled $1,440,000. Net fixed assets at the end of 2015 were:_________a) $760,000.b) $480,000.c) $620,000.d) None of these answer choices are correct. Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?x g(x)2 54 76 9 f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined. Need help please I dont get it vvalFill in the blank.COURSEHOMEExercto WcLESSONS1Flash1. Another name for World War I is2. Nationalism, alliances, militarism, and were all long-term causes of World War I3had people of diverse ethnicity who spoke many languages. It included the nations ofSerbia, Bulgaria, Greece, and Montenegro4. The longest battle of World War I was5was the leader of the Bolsheviks and successfully led the Russian Revolution6. Thewas the alliance that included Germany, Austria-Hungary, and Bulgaria7. The United States declared war on Germany after discovering that the Germans made an offerto Mexico in the8. Why was the Battle of the Somme significant?9. How was World War I dramatically different from previous wars?