Which pair of functions are inverses of each other? O A. F(a) = I - 9 and g(2) = 2*9 O B. Ax) = 5x - 11 and g(a) = 2+11 O C. F(a) = V2m and g(2) = (3) ° O D. f(a) = ; + 8 and g(x) = 6x - 8 SUBMIT

Answers

Answer 1

The pair of functions that are inverses of each other is (a) f(x) = 5x - 11 and g(x) = (x + 11)/5

How to determine the function and the inverse?

The complete question is added as an attachment

Function 1

f(x) = 5x - 11 and g(x) = (x + 11)/5

Represent 5x - 11 with y in f(x) = 5x - 11

y = 5x - 11

Swap x and y

x = 5y - 11

Add 11 to both sides

x + 11 = 5y

Divide by 5

y = (x + 11)/5

Express as a function

g(x) = (x + 11)/5

From the question, we have:

f(x) = 5x - 11 and g(x) = (x + 11)/5

This means that the function g(x) is an inverse of the function f(x)

Hence, the pair of functions that are inverses of each other is (a) f(x) = 5x - 11 and g(x) = (x + 11)/5

Read more about inverse function at:

https://brainly.com/question/14391067

#SPJ1

Which Pair Of Functions Are Inverses Of Each Other? O A. F(a) = I - 9 And G(2) = 2*9 O B. Ax) = 5x -

Related Questions

question:

|x-2|, if x > 5
simplify without the absolute value sign

Answers

Answer:

x - 2, if x > 5

Step-by-step explanation:

The vertical lines either side of the expression mean absolute value.

The absolute value of a number is its positive numerical value.

if x > 5 then as 5 > 2, the values inside the vertical lines will always be positive.  Therefore, we can disregard the absolute value.

Therefore:  

x - 2,  if x > 5

To find the range (output values) of the expression, substitute x = 5 into the expression:

⇒ 5 - 2 = 3

Therefore, |x - 2| > 3,  if x > 5

how is the e - lambda figured out as 0.00248?

Answers

Answer:

Step-by-step explanation:

e^-6 = 1/e^6 = about 0.00248

List the angles in order from the largest to the smallest for ΔABC. AB⎯⎯⎯⎯⎯⎯⎯=14, AC⎯⎯⎯⎯⎯⎯⎯⎯=15, BC⎯⎯⎯⎯⎯⎯⎯⎯=16

Answers

Answer:

BC 1

AC 2

AABC 3

Step-by-step explanation:

BC=16

AC = 15

AABC= 15

Answer: C, B, A

Step-by-step explanation: It just is

What is the value of 2 + (- 2/3)^2 ÷ 1/3 ?

16
3
-2
0

Answers

Answer:

3

Step-by-step explanation:

2+ (-2/3)^2 ÷ 1/3

make -2/3 postive because its being raised by an even exponent

you never divide by fractors so make 1/3 into 3 and make it multiplication

2+ (2/3)^2 × 3

raise the fraction to the power of 2

2+ (4/9)× 3

cancel out the GCF

2+ 4/3

add

10/3

simplify

3.3 ≅ 3

Tyson uploaded 500 videos to the Internet. Sarita uploaded fewer videos than Tyson. Write an inequality that compares the number of videos Sarita uploaded, v, to the number of videos Tyson uploaded.


→WILL MARK BRAINLIEST←

Answers

The inequality that compares the number of videos Sarita uploaded, v, to the number of videos Tyson uploaded is v - 500 < y

Inequality

number of videos Sarita uploaded = v

number of videos Tyson uploaded = 500

Total videos updated = y

Inequality for number of videos Sarita uploaded:

v - 500 < y

Therefore, the inequality that compares the number of videos Sarita uploaded, v, to the number of videos Tyson uploaded is v - 500 < y

Learn more about inequality:

https://brainly.com/question/25275758

#SPJ1

Answer:

- v < 500

Step-by-step explanation:

Graph on the number line all values of x that satisfy 2x+2/x+7 >= 0

Please help, if you help me I will give you a brainlist.

Answers

All values of x that satisfy 2x+2/x+7 >= 0 are represented as x >= -1

How to graph the inequality on a number line?

The inequality expression is given as:

2x+2/x+7 >= 0

Multiply both sides by x + y

2x+2 >= 0

Subtract 2 from both sides

2x > -2

Divide both sides by 2

x >= -1

Hence, all values of x that satisfy 2x+2/x+7 >= 0 are represented as x >= -1

See attachment for the number line of x >= -1

Read more about number lines at:

https://brainly.com/question/4727909

#SPJ1

Juan and Ari went to the farmers market to buy fruit. Juan’s bag of apples that he bought weighed StartFraction 31 over 7 EndFraction pounds. Ari’s bag of oranges that he bought weighed StartFraction 19 over 3 EndFraction pounds. Using compatible fractions, estimate how much heavier Ari’s bag is compared to Juan’s bag.

Answers

Answer:

approximately 2 lb

Step-by-step explanation:

Juan: 31/7

Ari: 19/3

Juan's fraction is close to 32/8 = 4

Ari's fraction is close to 18/3 = 6

6 - 4 = 2

Answer: approximately 2 lb

According to a recent poll at a​ university,70.7 ​% of high school seniors in a certain region had a​ driver's license. A sociologist thinks this rate has declined. The sociologist surveys randomly selected high school seniors and finds that have a​ driver's license. a. Pick the correct null hypothesis. b. Pick the correct alternative hypothesis. c. In this​ context, what does the symbol p​ represent?

Answers

your mother i swear

Step-by-step explanation:

ask yo mom

WHEN LOIS MARTIN WAS BORN, HER FATHER DEPOSITED $2000 IN A SAVINGS
ACCOUNT IN HER NAME AT A SAVINGS AND LOAN ASSOCIATION (S&L). AT THE TIME,
THE S&L PAID 6% INTEREST COMPOUNDED SEMI-ANNUALLY. AFTER 10 YEARS, THE
S&L CHANGED TO A RATE OF 6% COMPOUNDED QUARTERLY. WHAT WAS THE
VALUE OF THE ACCOUNT AFTER 18 YEARS WHEN THE MONEY WAS WITHDRAWN TO
HELP PAY FOR HER COLLEGE EXPENSES

Answers

The future value of the savings account, after 18 years when it was withdrawn to help pay for Lois Martin's college expenses, would be $5,816.85.

How are the future values determined?

The future values of the savings account are calculated in two installments.

The first installment is for 10 years when the account earns 6% compounded semiannually.

Using the future value after 10 years, the second installment is for 8 years when the account earns 6% compounded quarterly.

Future values can be determined using the future value formula or an online finance calculator, as follows:

Data and Calculations:Investment of $2,000 for 10 years:

N (# of periods) = 20 (10 years x 2)

I/Y (Interest per year) = 6%

PV (Present Value) = $2,000

PMT (Periodic Payment) = $0

Results:

FV = $3,612.22

Total Interest $1,612.22

Investment of $3,612.22 for 8 years:

N (# of periods) = 32 (8 years x 4)

I/Y (Interest per year) = 6%

PV (Present Value) = $3,612.22 ($2,000 + $1,612.22)

PMT (Periodic Payment) = $0

Results:

FV = $5,816.85

Total Interest $2,204.63

Thus, the value of the account after 18 years was $5,816.85.

Learn more about future values at https://brainly.com/question/989421

#SPJ1

Find the cube root of Z =1+i the power of 5​

Answers

Answer:

Cube Root Calculator

Use this calculator to find the cube root of positive or negative numbers. Given a number x, the cube root of x is a number a such that a3 = x. If x positive a will be positive, if x is negative a will be negative. Cube roots is a specialized form of our common radicals calculator.

It will help you alot.

Step-by-step explanation:

Question 5
Find the interest rate for a principal of $6570 and charged $30105 in interest for 12 years.

The Formula is
I
PT
x 100
Take the interest divide by the principal
then divide by the years
then times by 100
Round your answer to 1 decimal place.

Answers

Answer:

R=i

Step-by-step explanation:

R=i×100÷p×t

r=30105×100÷6570×12

r=3010500÷78840

r=38.18

100 000 , 10 000 , 1000 , 100 , A , B

The two missing numbers in the pattern are:

A=___?

B=___?

Answers

The two missing numbers in the pattern are 10 and 1

How to determine the missing numbers?

The sequence is given as:

100 000 , 10 000 , 1000 , 100 , A , B

From the above sequence, the next term is the quotient of the current term and 10.

So, we have:

A = 100/10 = 10

B = A/10 = 10/10 = 1

Hence, the two missing numbers in the pattern are 10 and 1

Read more about sequence at:

https://brainly.com/question/21961097

#SPJ1

There are 96 football players at all levels at Davenport High School. If two-thirds of the players make the honor roll for their grades how many olayers are on the list?
64 players
48 players
72 players
54 players

Answers

64 players
Reason- 2/3 of 96 = (32 x 2 = 64) telling us how many got on the list

Assume the graph is derivative f(x). Answer for f(x)

Answers

The intervals which the original function f(x) concave down are (-5, -2) and (3, 5)

How to determine the intervals which the original function f(x) concave down?

The information that completes the question are added as an attachment

The question requires that we determine the intervals which the original function f(x) concave down

From the attached graph, we have the following turning points

(-2, -4) and (3, 2)

From the domain of the graph, the curve starts at (-5, 0), turns at (-2, -4), also turns at (3, 2) and then stops at (5, 0)

So, we have:

(-5, 0), (-2, -4), (3, 2) and (5, 0)

Remove the y coordinates

x = -5, -2, 3 and 5

Express as intervals

(-5, -2) and (3, 5)

Hence, the intervals which the original function f(x) concave down are (-5, -2) and (3, 5)

Read more about function intervals at:

https://brainly.com/question/18121922

#SPJ1

Find the number if 11% of it is 55

Answers

Answer:

Step-by-step explanation:

.11x = 55

11x = 5500

x = 500

Please Help!!!
Type the correct answer in the box. Use numerals instead of words.
The surface area of a cone is square units. The height of the cone is times greater than the radius.

What is the length of the radius of the cone to the nearest foot?

The radius is about
feet.

Answers

Answer:

Step-by-step explanation:

9.05737

The length of the radius of the cone to the nearest foot is 5 feet.

What is a cone?

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

Given, The surface area of a cone is 216π sq units and the height of the cone is  (5/3) times of the radius.

∴ h = (5/3)r and we know l = √(h² + r²) ⇒ l = √{(25/9)r² + r²} ⇒ l = √{(34/9)r²}.

πrl = 216π.

√{(34/9)r³ = 216.

1.9r³ = 216.

r³ = 113.7.

r = 4.8 feet Or 5 feet.

learn more about cones here :                                      

https://brainly.com/question/23863102

#SPJ2

Find the point at which the line with parametric equations x = 2 3t, y =-4t, z =5 t intersects the plane 4x 5y -2z=18

Answers

It looks like you have

[tex]\begin{cases}x=2+3t\\y=-4t\\z=5+t\end{cases}[/tex]

Substituting these in to the plane equation, we have

[tex]4x+5y-2z = 4(2+3t) + 5(-4t) - 2(5+t) = -2-10t = 18 \\\\ \implies-10t = 20 \implies t = -2[/tex]

When [tex]t=-2[/tex], we get the point

[tex]\begin{cases}x=2+3(-2)\\y=-4(-2)\\z=5+(-2)\end{cases} \implies (x,y,z) = \boxed{(-4,8,3)}[/tex]

Ronaldo specializes in creating sewing patterns for dresses, and wants to set up his own website to sell electronic copies. He pays $120 for a domain name and web hosting services for the first year. Ronaldo makes $14.25 for each electronic pattern that he sells. How many patterns must he sell to cover the cost of the website for the first year? Round your answer to a whole number.

Answers

Answer:

8

Step-by-step explanation:

120/14.25=8.4 rounded off to a whole number is 8

Question 8 of 10
Factor the polynomial: -5x³ - 10x² - 15x
OA. 5x(x²+2x-3)
OB. -5x(-x2 - 2x - 3)
C. -5x(x2 + 2x - 15)
OD. -5x(x2+2x+3)

Answers

Letter D

All terms are negative, so A won’t work
-5x^3/-5x = x^2, so B won’t work
-15x/-5x = 3, so C won’t work


Compute the probability of event E if the odds in favor of E are 28 to 29.

Answers

Answer:

28/57

Step-by-step explanation:

odds in favor of event occurring = (probability event occurs)/(probability event does not occur)

Let p = probability event occurs.

Then the probability the event does not occur is 1 - p.

Let the odds = a/b.

a/b = p/(1 - p)

a(1 - p) = bp

a - ap = bp

bp + ap = a

p(a + b) = a

p = a/(a + b)

p = 28/(28 + 29)

p = 28/57

As per the given scenario, the probability of event E is 28/57 or approximately 0.4912.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is usually expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur.

If the odds in favor of an event E are "a to b," then the probability of E is given by:

P(E) = a / (a + b)

In this case, the odds in favor of E are 28 to 29, which means that there are 28 favorable outcomes for E and 29 unfavorable outcomes against E.

So, using the formula above, we can compute the probability of E as:

P(E) = 28 / (28 + 29)

P(E) = 28 / 57

Therefore, the probability of event E is 28/57 or approximately 0.4912.

For more details regarding probability, visit:

https://brainly.com/question/30034780

#SPJ2

If 2 angles have the same angle measure they are said to be what

Answers

2 angles that have the same angle measure are congruent.

Given that the two angles have the same angle measure.

Congruence is a term reserved for geometry. Two metrics are congruent when you can perfectly map to each other by mirroring, rotating, and translating without distortion.

We know that two shapes or objects are congruent if they have the same shape and the same size. For two angles to be congruent, they must coincide when they are overlapped. This is only possible if the two angles are equal.

Therefore, if two angles have the same measure, then they are said to be congruent.

Learn more about congruent angle from here brainly.com/question/2938476

#SPJ1

Two sides of a triangle are 12cm and 8cm. Complete the inequality to show the possible lengths for the third side.

Answers

The inequalities that represents the third side of the triangle is  c ≥ 4 or c ≤ 20

How to find the third side of a triangle?

The triangle inequality theorem states that that the sum of any two sides of a triangle is greater than or equal to the third side.

Therefore, the two sides of the triangle are 12 cm and 8 cm.

A triangle with sides a, b and c follows the principle below;

a + b ≥ c.

Therefore,

let

c = third sides

12 + 8 ≥ c

20 ≥ c

c + 8 ≥ 12

c ≥ 4

c + 12 ≥ 8

Therefore, the third third should be greater than or equals to 4 or less than or equals to 20

c ≥ 4 or c ≤ 20

learn more on triangle here: https://brainly.com/question/28105571

#SPJ1

Sports clubs have increasingly been acknowledged as important settings for health promotion. The term sport club is synonymous with organized sport and both are considered to consist of environments that support the healthy behaviors of its athletic members. One of the member Sanjaya pays rupees 500 in advance on his account at a sports club ,each time he visits the club 10 rupees is deducted from his account. Q6. Which of the following equation represent the left balance of sanjaya’s y after visiting x number of days? * A) y=500+10x B) y=10+500x C) x=500-10y D) y=500-10x NO RESPONSE​

Answers

The linear equation that represent the left balance of sanjaya’s y after visiting x number of days is:

y = 10x + 500.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the data given, we have that:

The y-intercept is of 500.The slope is of 10.

Hence the balance is given as follows:

y = 10x + 500.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Five interlocked, colored rings make up the Olympic symbol. The rings are
blue, black, red, yellow, and green and represent Africa, the Americas, Asia,
Australia, and Europe. The symbol looks like this:
1. In how many ways could the five colors of the Olympic symbol have been
arranged among the rings?

Answers

Answer:

120

Step-by-step explanation:

5 rings 5 colors

for the first ring there are 5 colors to choose from

4 colors for the second

3 for the third

2 for the fourth

1 for the last one

so 5! = 120

Show all work to write the expression in simplified rational exponent form:
[tex]\sqrt[4]{17x^{2}}[/tex]
(Fourth root of 17 x squared)

Answers

Answer:

[tex](17x)^{\frac{2}{4}}[/tex]

Step-by-step explanation:

There's not much work to show for this problem, but I'll explain it for you

Use the exponent rule for roots to combine the 4 and the 2 like a fraction

2 on the top and 4 on the bottom

[tex](17x)^{\frac{2}{4} }[/tex]

That's it!  Pretty easy

Good Luck!

pls mark brainliest

Solve the differential equation. (x^2 + 11)y' = xy

Answers

Separate the variables.

[tex](x^2+1) \dfrac{dy}{dx} = xy \implies \dfrac{dy}y = \dfrac x{x^2+11} \, dx[/tex]

Integrate both sides. On the right, substitute [tex]u=x^2+11[/tex] and [tex]du=2x\,dx[/tex].

[tex]\displaystyle \int \frac{dy}y = \int \frac x{x^2+11}\,dx = \frac12 \int \frac{du}u[/tex]

[tex]\ln|y| = \frac12 \ln|u| + C[/tex]

[tex]\ln|y| = \ln\left(\sqrt{x^2+11}\right) + C[/tex]

[tex]e^{\ln|y|} = e^{\ln\left(\sqrt{x^2+11}\right)+C}[/tex]

[tex]\boxed{y = C\sqrt{x^2+11}}[/tex]

Using separation of variables, the solution to the differential equation is:

y = ksqrt(x² + 11)

What is separation of variables?

In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is:

(x² + 11)y' = xy

Applying separation of variables, we have that:

y'/y = x/(x² + 11)

[tex]\int \frac{y^{\prime}}{y} = \int \frac{x}{x^2 + 11}[/tex]

[tex]\ln{y} = \frac{\ln{x^2 + 11}}{2} + K[/tex]

[tex]\ln{y} = \ln{(x^2 + 11}^{\frac{1}{2}}) + K[/tex]

[tex]\ln{y} = \ln{\sqrt{x^2 + 11}} + K[/tex]

Hence the solution is:

y = ksqrt(x² + 11)

More can be learned about separation of variables at https://brainly.com/question/14318343

#SPJ1

A chemical company makes two brands of antifreeze. The first brand is 30% pure antifreeze and the second brand is 55% pure antifreeze. In order to obtain 160 gallons of a mixture that contains 45% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answers

Answer:

64 gallons 30%96 gallons 55%

Step-by-step explanation:

The amount of each brand can be found by writing and solving an equation that makes use of the given relations.

Setup

Let x represent the quantity of 55% pure antifreeze needed in the mixture. Then the quantity of the 30% brand is (160-x). The amount of pure antifreeze in the mixture is ...

  0.55x +0.30(160 -x) = 0.45(160)

Solution

Subtracting 0.30(160), we have ...

  x(0.55 -0.30) = 160(0.45 -0.30)

  x = 24/0.25 = 96 . . . . . simplify, divide by the coefficient of x

96 gallons of the 55% brand, and 64 gallons of the 30% brand must be used.

__

Read more about mixture problems here:

https://brainly.com/question/26751698

Please I need the answer this is due in on monday!!

Answers

The number sets that each number belong too are given as follows:

1. Rational.

2. Irrational.

3. Rational.

4. Whole.

5. Whole.

6. Integer.

What is the classification of the number -4.2?

It is a terminating decimal, hence it is a rational number.

What is the classification of the number 3 times square root of 5?

The square root of 5 is not exact, hence it is a non-terminating decimal, meaning that is an irrational number.

What is the classification of the number 5/3?

It is a fraction, hence it is a rational number.

What is the classification of the number 9?

It is a positive non-decimal number, hence it is a whole number.

What is the classification of the square root of 16?

The square root of 16 is of 4, which is a positive non-decimal number, hence it is a whole number.

What is the classification of the square root of -8/2?

The result of the division is of -4, which is a negative non-decimal number, hence it is an integer number.

More can be learned about the number sets at https://brainly.com/question/10814303

#SPJ1

Hi,

Could anyone help with this please?

Many thanks,

Answers

Length: 2.6 meters

Width: 1.8 meters

Area: 4.68 meters

Since the scale is 1/40, we can multiply the centimeter measurements by 40 thus making it our scale factor.

Length

2.6 x 40 = 260

260 cm = 2.6 m

Width

4.5 x 40 = 180

180 cm= 1.8 m

Area

1.8 x 2.6 = 4.68 m

Length: 2.6 meters

Width: 1.8 meters

Area: 4.68 meters

Question 1 Which number has the greatest value? O 0.095 O 1.24 1.215 O 0.365 Confident​

Answers

Answer:

1.24

Step-by-step explanation:

because 1.24>1.215>0.365>0.095

Other Questions
Auto manufacturing workers typically perform tasks that are overseen by their managers. this arrangement is which one of taylors scientific management principles? A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes thetranslation?(x + 5, y-3)(x + 5, y + 3)(x, y)(x-3, y + 5)(x, y) (x + 3, y + 5)(x, y)O(x, y)Mark this and returnSave and ExitlextSubmit Assuming the absorption costing method is used, what is the total manufacturing costs per unit added to work in process during the month of february? Suppose you have developed a scale that indicates the brightness of sunlight. Each category in the table is 4 times brighter than the next lower category. For example, a day that is dazzling is 4 times brighter than a day that is radiant. How many times brighter is a radiant day than a dim day? Combined, Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, how many pens does Sanjay have? For a certain company, the cost function for producing x items is C(x)=50x+100 and the revenue function for selling x items is R(x)=0.5(x100)2+5,000 . The maximum capacity of the company is 120 items.The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!Answers to some of the questions are given below so that you can check your work.Assuming that the company sells all that it produces, what is the profit function?P(x)= The doctrine of ___________ has its root meaning in reconciliation, the recovery of wholeness. Which are the external application-oriented devices that provide application security? If 21% of unemployed find jobs and 0. 9% of the employed lose their jobs, the natural rate of unemployment will be:__________. The Witch mounts an attack on Dorothy and her friends in The Wonderful Wizard of Oz. What weapons does she use in her attack? Which of these amino acids are converted to succinyl coa? 1. isoleucine 2. valine 3. methionine 4. arginine 5. threonine a. 2, 3, and 4 b. 1, 3, and 5 c. 2 and 4 d. 2, 4, and 5 e. 1 and 5 Can you differentiate the obstructive pulmonary disorders? How does the characterization of the children create satire? they are curious about what is in the garden. 2. Brynn borrowed $25,000 at 1% per month from a family friend to start her entrepreneurial venture on December 2, 2011. If she paid back the loan on June 16, 2012, how much simple interest did she pay? Enzymes are catalysts in reactions. what statements describe functions of enzymes? God expects us to _____________, and retirement planning is one of the most important planning tasks in life. Which of the following are part of the rules for ERP demo days?I Evaluate the ERP software based on requirements as opposed to the vendors performance during the demoII Require that attendees be on time and attend the same sessions for each software vendorIII First confirm the must haves, then the nice to haves, and lastly the bells and whistlesIV Explain the business requirements to the vendor beforehandI and II onlyI, II, III and IVI onlyI, II and III only Please list intervening events that occur within the organism during the learning experience:_________ Which nonverbal cues often take the place of spoken words, letters, or numbers? illustrators emblems adaptors regulators Despus de 15 meses de haber prestado un capital al 5% de rdito, tengo que pagar de inters Q468.75. Qu capital se ha prestado?