which of the following could be an example of a function with a domain [a, infinity) and a range (-infinity, b] where a>0 and b>0

Which Of The Following Could Be An Example Of A Function With A Domain [a, Infinity) And A Range (-infinity,

Answers

Answer 1

f(x) = √x   ⇒   f(x) = -√(x -a) +b . . . . . . matches choice B

What is function ?

Function is the relationship between the input or domain and the output. A relation is a function if and only if there exists one value in the range for every domain value. A function is written as f x , where x is the input value. The general form of a function is y = f x

Function transformations

To move the domain from [0, ∞) to [a, ∞) requires the function be translated 'a' units to the right. That transformation is accomplished by replacing x with (x-a) in the function definition.

To move the range from [0, ∞) to [b, ∞) requires the function be translated upward by 'b' units. This is accomplished by adding 'b' to every function value.

Therefore, the range of the function will be (-∞,b] i.e. y ≤ b.

Hence, the required function is  f(x) = √x   ⇒   f(x) = - √(x -a) +b . . . . . . matches choice B

Learn more about Function here: https://brainly.com/question/2284360

#SPJ1


Related Questions

PLS HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:

let the first and second table box as 12345 and abcde

1,a

2,c

3,e

4,b

5,d

Step-by-step explanation:

you can use

y=mx+b form m is slope , b is y intercept

m with variable x and b without any variable I.e it is real value

will give brainliest please help

Answers

Answer:

A. 7x + 3x = 10x, B. 6s - 3s + 4s = 7s, C. 4T - 6T = -2T, D. 4xy + 3xy + x = 7xy + x, E. (6x) ^2 = 36x^2, F. 6x/2x = 3.

Step-by-step explanation:

A. explanation: Add 7x and 3x. B. explanation: Simplify the expression. C. explanation: Subtract 6T from 4T. D. explanation: Add 4xy and 3xy. E. explanation: Simplify the explanation. F. explanation: Simplify the expression.

Answer: give her brainliest

Step-by-step explanation:

hey mackenzie :)

Type the correct answer in each box. If necessary, round your answer(s) to the nearest hu The vertices of AABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of AABC is ​

Answers

Answer:

  22.81

Step-by-step explanation:

The distance formula can be used to find the distances between pairs of vertices. The perimeter is the sum of those distances.

Side lengths

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using this formula the triangle side lengths are ...

  AB = √((6 -(-2))^2 +(2 -2)^2) = √(8^2) = 8

  BC = √((0 -6)^2 +(8 -2)^2) = √(6^2 +6^2) = 6√2

  CA = √((-2 -0)^2 +(2 -8)^2) = √(4 +36) = √40

The perimeter of the triangle is the sum of these lengths:

  P = 8 +6√2 +2√10 ≈ 22.8098

The perimeter is about 22.81 units.

Find the ends of the major axis and foci

Answers

The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).

What is the axis and foci about?

The term 'foci' is known to be the point at which there is the coming together of light or any other kinds of electromagnetic radiation, particles, etc.

It is also seen as the point from which they seems to go apart.

[tex]\frac{x^{2} }{144} + \frac{y^{2} }{169} = 1[/tex]

[tex]\frac{x^{2} }{12^{2} } + \frac{y^{2} }{13^{2} }[/tex]

Hence, major axis is = (0, ± 13)

e = [tex]\sqrt{1 -\frac{12^{2} }{13^{2} } }[/tex]

= 5/13

Foci is: (0± 13 x [tex]\frac{5}{13}[/tex])

Foci is: (0, ±5)

Therefore, The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).

Learn more about foci from

https://brainly.com/question/26250569

#SPJ1

Simplify the following ​

Answers

Answer:

29/12

Step-by-step explanation:

hello :

2/3  +5/6  +11/12 = (2×4)/(3×4)  + (5×2)/(6×2)  + 11/12

2/3  +5/6  +11/12 = 8/12  +10/12  +11/12 = (8+10+11)/12

2/3  +5/6  +11/12 = 29/12

Answer:

[tex]2\frac{5}{12}[/tex]

Step-by-step explanation:

To add fractions, we have to make sure that they have the same denominators. To do that, we have to find their lowest common multiple (LCM).

The LCM of 3, 6, and 12 is 12.

Then we have to multiply the numerator and denominator of each fraction by a number so that the denominator becomes the LCM (12).

[tex]\frac{2}{3} + \frac{5}{6} + \frac{11}{12}[/tex]

⇒ [tex]\frac{2 \times 4}{3 \times 4} + \frac{5 \times 2}{6 \times 2} + \frac{11 \times 1}{12 \times 1}[/tex]

⇒  [tex]\frac{8}{12} + \frac{10}{12} + \frac{11}{12 }[/tex]

⇒ [tex]\frac{8+10+11}{12}[/tex]

⇒ [tex]\frac{29}{12}[/tex]

⇒ [tex]\bf 2\frac{5}{12}[/tex]

Compute the monthly payments for each add-on interest loan. The amount of the loan is $1150. The annual interest rate is 6%. The term of the loan is 4 years

Answers

The monthly payments for each add-on interest loan is computed to be $29.71.

Given Information and Formula Used

Principal Amount of the loan, P = $1150

Rate of Interest of the loan, R = 6%

Term of loan in years, T = 4

The formula for simple interest is given as follows,

I = (P × R × T)/100

The formula for amount of add-on interest loan is given by, A = P + I

Calculating the Interest of the Loan

Interest of the loan, I = (P × R × T)/100

Now, substituting the given values of P, R, and T in the above formula, we get,

I = $ (1150 × 6 × 4)/100

I = $ 27600/100

I = $276

Calculating the Total Monthly Payment for the Loan

Amount of loan, A = P+I

A = $1150 + $276

A = $1426

Monthly payment of the loan with interest = A/(4×12)

= $ 1426/48

= $29.71

Thus, the monthly payments for each add-on interest loan comes out to be $29.71.

Learn more about loan here:

https://brainly.com/question/11794123

#SPJ1

You own 17 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?

Answers

The probability that all five end up in alphabetical order is; 1/120.

What is the probability that the rack ends up in alphabetical order?

To evaluate the given probability; first, the number of possible arrangements is;

17P5 = 742,560 possible arrangements.

However, the chance of an alphabetical order arrangement in each case is; 1 out of 5! possible arrangements.

Hence, we have that the number of possible alphabetical arrangement is; (1/120) × 742,560 = 6188.

Hence, the required probability is; 6188/742,560 = 1/120

Read more on probability;

https://brainly.com/question/251701

#SPJ1

What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?

12
15
17
18

Answers

The solution to the expression is 18

Your answer would be d, 18

50 POINTS!!!!!!!! PLEASE ANSWER THIS QUICKLY WITH AN EXPLANATION!!!!!!!!! ANSWER ALL OF THEM

Answers

Answer:

  (b) 27°

  (c) 34°

  ( ) 27°

Step-by-step explanation:

Angle relations involving lines, parallel lines, and triangles come into play here.

angles of a linear pair total 180°angles of a triangle total 180°vertical angles are congruentcorresponding angles at a transversal crossing parallel lines are congruent

(b)

The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.

  (180° -6x) +90° +(180° -4x) = 180°

  270° = 10x . . . . . . . . . add 10x and simplify

  27° = x

(c)

The vertical angles at S are congruent. This tells us ...

  3x +∠PSQ = 4x

  ∠PSQ = x

The sum of angles in triangle PSQ is 180°, so we have ...

  x +x +(180° -68°) = 180°

  2x = 68° . . . . . . . . add 60°-180°

  x = 34° . . . . . . . . . divide by 2

( )

Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.

  2x +2x +72° = 180°

  4x = 108° . . . . . . subtract 72°

  x = 27° . . . . . . . . divide by 4

Mark all the relative minimum points in the graph.
See attached!

Answers

The relative minimum point in the graph is (-6, 2)

How to determine the relative minimum?

To do this, we simply locate a point that at a lower level, when compared to its neighboring points

Using the above highlight, there is only one relative minimum point in the graph

And the point is located at (-6,2)

Hence, the relative minimum point in the graph is (-6, 2)

Read more about relative minimum point at:

https://brainly.com/question/2135521

#SPJ1

How much, including taxes of 12%, would you pay for an item with a retail price of $194.95?

Answers

Answer:

$217.88

Step-by-step explanation:

12% of 194.95 plus the original cost of 194.94 equals the total

1.12*194.54 = $217.8848

Rounded: $217.88

The measure of the second angle of a triangle is three times the measure of the first. The measure of the third angle in the triangle is 12 degrees less than twice the measure of the first angle. Find the measures of each angle in the triangle.

Answers

Answer:

First  angle:

x =32

Second angle:

3x

3(32) = 96

Third angle:

2x - 12

2(32) -12 =52

Step-by-step explanation:

x + 3x + 2x - 12 = 180  The sum of the interior angles of a triangle is 180

6x -12 = 180  Combine the x terms

6x = 192  add 12 to both sides

x = 32

Check: 52 + 96 + 32 = 180

find the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years

Answers

The interest obtained after 4 years from a loan of $7500 is = $750

Calculation of generated interest

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

Learn more about simple interest here:

https://brainly.com/question/20690803

#SPJ1

Lewis High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent.
Here are the positions and the people interested in each.

Position People interested
Faculty members Dr. Wright, Mr. Torres, Mrs. Lee, Ms. Reed
Male students Jose, Ali, Tony
Female students Donna, Keiko, Rita
Parent Dr. Wilson, Dr. Patterson, Ms. Rivera, Mrs. Ross, Ms. Bell

Answers

The number of possible committees from the given list is; 120 committees

How to Solve Probability Combinations?

From the given list, we can say that;

Number of faculty members = 4

Number of male students = 2

Number of female students = 3

Number of parents = 5

Thus, the number of ways to fill the 4 member committee is calculated from probability combination as;

Number of committees = 4 * 2 * 3 * 5 = 120 possible committees

Read more about Probability Combinations at; https://brainly.com/question/4658834

#SPJ1

I need help on this question please help me

Answers

The expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Associative and Commutative properties

From the question, we are to determine the expression that shows the best use of the associative and commutative properties

The given expression is

[tex]\frac{3}{4}-5+9 -\frac{2}{4}+2[/tex]

To easier simplify the expression, we can group the fractions together and group the whole numbers together

That is,

[tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Hence, the expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Learn more on Associative and commutative properties here: https://brainly.com/question/491384

#SPJ1

The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the breakrooms. She considers two methods of obtaining a sample of 600 employees from the 4,700 employees at the company.

Part A: To make the process easier, the CEO considers surveying the first 600 employees who enter a company annual conference center. Identify the type of sampling method proposed and discuss why this sampling method might be biased. (5 points)

Part B: The second method the CEO is contemplating involves using a random number generator app to choose a simple random sample of 600 employees from a list of 4,700 employee names. How could she implement this method? (5 points)

Answers

The type of sampling method proposed is a convenience sampling because it's a non-probability sampling method.

What is convenience sampling?

Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.

The CEO could implement the second sampling method as follows:

Assign a serial number to each employees of the total 4,700 employee names.Use a random number generator software to obtain 600 random numbers.The 600 random numbers in Step 2 above forms the desired sample of 600 employees out of 4,700 employees at the company.

Read more on convenience sampling here: https://brainly.com/question/1445924

#SPJ1

Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%

Answers

Levada borrows $30,900 from her bank to open a florist shop at rate of 0.98% per month.

How to calculate simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

It is given that Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%.

P = $30,900

T = 18 months

Interest  = 5.5%

Interest rate =  P×R×T

5.5 = 30,900 × R × 18

R = 0.000988

Or, R = 0.98% per month.

The complete question is

"a) How much must she pay the bank in 18 months?"

Learn more about simple interest here:

https://brainly.com/question/5319581

#SPJ1

Simplify √-50.
O 5√2
O 5i-√2
O-5√2
-5i√2

Answers

Answer: [tex]5i\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{-50}\\\\=\sqrt{-1} \sqrt{50}\\\\=5i\sqrt{2}[/tex]

look at the pictures​

Answers

The function is increasing on the interval (3, ∞)

Interval of a function

Given the rational function shown below

g(x) = -2√x-3

For the function to be a positive function, the value in the square root  must be positive such that;

x - 3 = 0

Add 3 to both sides

x = 0 + 3

x = 3

Hence the interval where the function is increasing is (3, ∞)

Learn more on increasing function here: https://brainly.com/question/1503051

#SPJ1

vRichard has a red card (R) and a black card (B). He picks a card randomly from the pair and then rolls a six-sided die. The sample space of the event is listed. B-1 R-1 B-2 R-2 B-3 R-3 B-4 B-5 R-5 B-6 R-6 The missing term in the list is . If there were three cards instead of two, the sample size would be .

Answers

The Sample space for three cards is

[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)[/tex][tex]\left(B,5\right),\left(R,5\right),\left(G,5\right),\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}[/tex]

There are two cards red(R) and black(B) and a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the Sample space is as follows.

[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(B,2\right),\left(R,2\right),\left(B,3\right),\left(R,3\right),\left(B,4\right),\left(R,4\right),\left(B,5\right),\left(R,5\right),\left(B,6\right),\left(R,6\right) \right \}[/tex]

Find Sample space if there are three cards.

Consider there were three cards red(R), black(B) and green(G) a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the sample space will be as follows,

[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)[/tex][tex]\left(B,5\right),\left(R,5\right),\left(G,5\right)\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}[/tex].

Learn more about sample space here :-

https://brainly.com/question/24273864

#SPJ1

Which of these is smaller? 1/3 or 35%

Answers

♨ANSWER♥

1/3 = 1/3 × 100%

= 33%

☆ 33 % < 35 %

Therefore

* 1/3 is the smaller one.

...hope this helps...

_♡_mashi_♡_

The comparison of  1/3 and 35% in decimals shows that 1/3 is smaller than 35%.  

Given that:

The fraction is  1/3 and the number in percentage is 35%.

The conversion of  a fraction to a percentage can be obtained by  dividing the numerator by the denominator and multiply by 100.

The decimal form of the fraction 1/3 is 33.33...%

1/3 ≈ 0.3333...

0.3333... * 100 ≈ 33.33...%

The value 35% is already in percentage.

Since, both the values are in percentage form, it can be easily compared.

On comparing, the resultant would be

33.33...% < 35%

Since 35% is greater than 33.33...%

It can be concluded  that 35% is larger than 1/3.

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ3

I need help with this geometry question asap!

Answers

Answer:

  (a)  Theorem 9

Step-by-step explanation:

Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.

Analysis

The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).

Theorem 9 applies to congruent alternate interior angles.

Solve for x. Find all solutions from 0 to 2 π . ​Show all work as you solve each problem - you may need more space to show your work for each. Remember there may be more than 1 solution for x.
Questions are attached below

Answers

Answer:

x=189

Step-by-step explanation:

please mark me as brainiest

what two numbers add to the number 30

Answers

Answer:

15+15

Step-by-step explanation:

Two 15's added together can equal 30

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Answers

The value of x in the similar triangles is 18

How to solve similar triangles?

Similar triangles have the same shapes but may have different sizes.

Corresponding side of similar triangles are a ratio of each other.

Therefore,

UV / BC = AU / AB

Hence,

UV = 444 units

BC = 703

AU = 20x + 108

AB = 20x + 108 + 273 = 20x + 381

Therefore,

444 / 703 = 20x + 108 /  20x + 381

cross multiply

444( 20x + 381) = 703(20x + 108)

8880x + 169164 = 14060x + 75924

8880x  - 14060x  = 75924 -  169164

-5180x = -93240

x = -93240 / -5180

x = 18

Therefore, the value of x in the similar triangles is 18

learn more on triangle here: https://brainly.com/question/4315686

#SPJ1

CAN sb HELP MI >_>
what it 0.00000000000000035467 in the scientific notation

Answers

Answer:

3.5467 × 10^-16

would anyone be able to help me with this?

Answers

This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.

How to solve for the maximum of the graph

We have ( x-2²) (x-4)

x-2²) = 0, or x - 4

x - 2 = 0, x = 2

Hence we can see that the graph has its minimum at x = 4

b. The graph here does not have a local maximum

c. Next we have to find the point of inflection

To do this you have to differentiate the equation

Use the product rule of differentiation in order to solve for the solution.

(x-2)²[ (x-4) 2 (x-2)]

This would then give us

x -2, 3x -10

In both equations we have to make x the subject of the equation

X = 2, x = 10/3

Hence the point of inflection is 2 and 10/3

Read more on minimum and maximum points here:

https://brainly.com/question/12120831

#SPJ1

Which of the following systems of linear inequalities is represented by the
solution graphed below?
A. y>2 and ysx
B. y 22 and y C. x>2 and y2x
D. x22 and y> x

Answers

Answer: B

Step-by-step explanation:

The line y=2 is solid and shaded above, so it represents [tex]y \geq 2[/tex].

This allows us to eliminate all the options except for B.

A coin has two sides head and tails a die has six sides if you roll the die what is the probability that you flip heads and roll a number greater than 5

Answers

Using it's concept, the probability that you flip heads and roll a number greater than 5 is: [tex]\frac{1}{12}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

The probability of a head is 1/2.The probability of a number greater than 5 is 1/6.

Hence the probability of both events is:

[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex].

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

guillermo has sold 95,47,114, and 72 appliances in the last fourth months,respectively.how many appliances will he need to sell this month to maintain an average of 80 sales per month?

Answers

The number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

What is an average?

An average refers to a central value obtained after adding together several amounts and then dividing this total by the number of variables added.

An average is a central value in a dataset.

Data and Calculations:

Average sales per month = 80 units

Number of months involved = 5 months

Total for five months based on the average = 400 units

Total units sold in four months = 328 (95 + 47 + 114 + 72)

Sales units required to meet the average target = 72 (400 - 328)

Thus, the number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

Learn more about average at https://brainly.com/question/20118982

#SPJ1

Other Questions
What are the three subheadings called? Find the slope of the line between the following points. (a) x = 3 and x = 3.1 (b) x = 3 and x = 3.01 (c) x = 3 and x = 3.001 Now use algebra to find a simplified rational expression for the slope of the line between (3, f(3)) and (3 + h, f(3 +h)), (h 0). (Simplify your answer completely.) What do these slopes tend toward as h is made closer and closer to 0?Draw the graph of the function y = f(x) = 2/x between x = 1/2 and x = 4. In many invetigation, both in the laboratory and in naturalenvironment, the pH of ubtance i meaured. Explain why pH i important to living thing. In yourexplanation be ure to: In this unit, you studied the challenges and benefits of living in the twenty-first century. What are some of the challenges and benefits of living in a global society? Do you think there are more advantages or disadvantages to modern life as compared to life a century ago? Why? Read the excerpt from "An Occurrence at Owl Creek Bridge." He unclosed his eyes and saw again the water below him. "If I could free my hands," he thought, "I might throw off the noose and spring into the stream. By diving I could evade the bullets and, swimming vigorously, reach the bank, take to the woods and get away home. My home, thank God, is as yet outside their lines; my wife and little ones are still beyond the invaders farthest advance. Which best describes the impact of the narration in the excerpt? It helps the reader understand why the man is being hanged. It introduces the reader to a new character through the characters thoughts. It allows the reader to understand the thoughts of a man preparing for death. It reveals to the reader the mans plan of escape. how did the battle of midway alter the course of the war in the pacific? The figure shows intersecting lines k and m. What is the measure of angle a? find vertical and horizontal asymptotes please help i dont know what im doing A chain of metal links with total mass m = 5 kg is coiled up in a tight ball on a low-friction table. You pull on a link at one end of the chain with a constant force F = 64 N. Eventually the chain straightens out to its full length L = 0.8 m, and you keep pulling until you have pulled your end of the chain a total distance d = 3.2 m (diagram is not to scale). m ------- 1000000000000000 T> (a) Consider the point particle system: What is the speed of the chain at this instant? V = m/s (b) Consider the extended system: What is the change in energy of the chain? AE = joules (c) In straightening out, the links of the chain bang against each other, and their temperature rises. Assume that the process is so fast that there is insufficient time for significant thermal transfer of energy from the chain to the table, and ignore the small amount of energy radiated away as sound produced in the collisions among the links. Calculate the increase in thermal energy of the chain. AEthermal = Which of the following does not represent a function? Explain why you chose the answer. I will mark you brainliest!!! Which statement gives an example that best demonstrates how the geosphere has effected the evolution of life on earth Enter the nuclear equation for the alpha decay of polonium-216 (21684Po).Express your answer as a nuclear reaction. Ms. Wells is going to order 4 large cheese pizzas for a class pizza party at the end of the school year. She expects she'll spend at least $40 on the pizzas. Let x represent how much ms. Wells expects each pizza to cost. Which inequality describes the problem?. what changed in Europe and East Asia between 200 CE and 500 CE? Using the phase diagram for CO2, what phase is carbon dioxide in at -40C think about data as driving a taxi cab. in this metaphor, which of the following are examples of metadata? select all that apply. 1/3 of a gallon equally with 3 friend elect the equation that how how to calculate the fraction y = 1/2 x + 1-2x + 4y = 4need an answer please y = -x - 3y + x = 2 Randi and Leah are studying together for an exam. Let X represent the number of hours Randi spends studyingnightly, and let y represent the number of hours Leah spends studying nightly. The mean of X is 4.5 hours with astandard deviation of 1.1 hours, and the mean of Y is 3.7 hours with a standard deviation of 1.8 hours. Assumingthese are independent random variables, which answer choice correctly calculates and interprets the standarddeviation of the sum, S = X + Y?subscript u s=0.7; Randi and Leah can expect the total number of hours spent studying to vary by approximately 0.7 hours from the mean.subscript s = 1.7; Randi and Leah can expect the total number of hours spent studying to vary by approximately 1.7 hoursfrom the mean.subscript s=2.1; Randi and Leah can expect the total number of hours spent studying to vary by approximately 2.1 hours from the mean.subscript = 2.9; Randi and Leah can expect the total number of hours spent studying to vary by approximately 2.9 hoursfrom the mean.