Let $f(x) = 2x - 3$ and $g(x) = x + 1$. What is the value of $f(1 + g(2))$?

Answers

Answer 1

Answer:

The value of f(1 + g(2)) is 5

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x - 3

∵ g(x) = x + 1

We need to find the value of f(1 + g(2))

That means we will replace x in f(x) by 1 + g(2)

→ g(2) means substitute x in g by 2

∵ g(x) = x + 1

∵ x = 2

∴ g(2) = 2 + 1

g(2) = 3

∵ x of f = 1 + g(2)

∵ g(2) = 3

∴ x of f = 1 + 3

x of f = 4

→ To find f(1 + g(2)) substitute 1 + g(2) by 4

∵ f(x) = 2x - 3

∵ x = 4

∴ f(4) = 2(4) - 3

∴ f(4) = 8 - 3

f(4) = 5

f(1 + g(2)) = 5


Related Questions

please help, i need it done soon

Answers

Answer:

Point C i think is: (33/8, 0)

Step-by-step explanation:

I hope this helps -w-

What quadrant is point A located in?
A. Quadrant IV
B. Quadrant III
C. Quadrant I
D. Quadrant II
Someone pls help me ASAP

Answers

D, Quadrant II, hope this helps :)

Pls halp due today thank you!

Answers

Answer:

k

Step-by-step explanation:

Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?

please help me it’s due in 30 minutes!!

Answers

Answer

yes triangle ABC is equal to triangle ADE

Step-by-step explanation:

x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal

We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE CB.

Given, (x + 4) + x + (x - 4) = 138.

3x = 138.

x = 46.

Now, BC = ED = (46 - 4) = 42 cm.

Assuming DA to be y.

∴ 46 + 42 + y = 138.

y = 50

And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ2

4. What is the slope of the line y = 3? (1 point)

Answers

Answer: Undefined or 0

Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined

Answer: 0

Explanation Since it's a straight line you can't determine the slope.

The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units. Which of the following statements is true about the three quadrilaterals? D and E are similar but not congruent. E and F are similar and congruent. D and E are similar and congruent. F and D are similar but not congruent.

Answers

Answer:

A: D and E are similar but not congruent.

Step-by-step explanation:

hope this help

Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?

Answers

Answer:40 miles

Step-by-step explanation:

5*4=20

20*2=40

Answer:

40 miles

Step by Step Explanation:

Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)

An ornament shaped like a sphere has a radius of 2.3 inches which measurement is closest to the volume of the ornament in cubic inches

Answers

Answer:

50.97in^3

Step-by-step explanation:

Volume of a sphere

The expression for the volume of a sphere is given as

V=4/3πr^3

Given that the radius is 2.3in

Substitute r= 2.3 in the expression to find the volume of the sphere

V=4/3*3.142*(2.3)^3

V=4/3*3.142*(12.167)

V=4/3*38.23

V=152.9/3

V=50.97in^3

Therefore the volume of the ornament is 50.97in^3

Find m 1 if m 2=47.6

Answers

Answer:

try 130.4, I got my answer by subtracting 47.6 with 180. How'd I get 180? the angles are obtuse so that means it'll add up to 180. Thus the answer is 130.4

What is the formula for calculating slope? Explain it in full.

Answers

Answer:

Use slope formula

Step-by-step explanation:

To calculate the slope, you can use the slope formula which is the change in the height compared to the change in the width. Using ordered pairs, this is the change in the y-values divided by the change in the x-values or the rise divided by the run.

decimal equivalent 9 1/3

Answers

The decimal equivalent to 9 1/3 is

SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333

Final answer in decimal form: 9.33

Therefore, the answer is C

The equivalent from of [tex]9\frac{1}{3}[/tex]   ⇒ 9.

 

The given mixed fraction is,

[tex]9\frac{1}{3}[/tex]

Now to convert it into decimal form

First of all convert it into simple fraction

So numerator of [tex]9\frac{1}{3}[/tex] is  formed by  multiplying 3 with 9 then add 1

and denominator remains same as 3

Therefore,

Simple fraction be

[tex]9\frac{1}{3}[/tex]  ⇒ (9x3 + 1)/3

     = 28/3

Now divide 28 by 3

we get,

9.333333

Here,

It is non terminating number

And 3 is repeating after decimal

therefore,

The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

solve question please​

Answers

Answer:

12, 160, 380

Step-by-step explanation:

Answer:

all of them are perfect square numbers since they can all be divided by four.

(6x + 9) - (4x + 6) I need help

Answers

6x+9-4x-6

2x+3

assuming you simplify, hope this helps!

-1/4 multiplied by 1 1/2

Answers

Answer:

[tex]-0.375[/tex]

For more help, take a look at this chart.

CAN SOMEONE HELP ME PLS !!! RIGHT ANSWERS ONLY PLS <333

Answers

Answer:

90*

Step-by-step explanation:

because a 90 degree rotation is to the right on its side

Answer:

90 degees is right

Step-by-step explanation:

I checked

If the number of gallons of gas is known, can you find the number of miles driven?
Explain how this value could be calculated.

PLEASE SOMEONE HELP ME!!!!!!

Answers

Answer:

It cant

Step-by-step explanation:

car use gas at differnt rates

It can’t
Cars use gas at different rates

Solve for x

X-5=-9

(10 points)

Answers

x-5 = -9

add 5 to both sides

x = -4

Answer:

x = - 4

Step-by-step explanation:

x - 5 = -9

=> x = -9 + 5

=> x = - 4

Please help please help

Answers

Answer: 78x^6y^4

Solving Steps:

Riley is training to run in a 5-kilometer road race. She would like to

reduce her race time by 15 seconds each month that she trains.

The race is in 3 months. What is the total change in time that Riley

hopes to achieve?

1. What integer represents the change in race time Riley wants to

achieve each month?

2. What integer represents the number of months she will train?

3. Write a multiplication expression that can be used to find the total

change in time.

4. Complete the number line to find the product.

-15

--50-45-40-35-30-25-20-15 -10 -5

0

5. What is the total change in race time that Riley hopes to achieve?

Explain what this change represents in the situation.

Answers

Answer:

1. -15

2. 3

3. -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image.

5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.

Step-by-step explanation:

Given that it is a 5 kilometre race.

Time to be reduced each month = 15 seconds

Total number of months left in the race = 3

1. Riley wants to achieve each month a decrease of 15 seconds.

Integer representing the change = -15

2. Change in time i.e. 3 months is represented by integer 3.

3. There are a total of 3 months and there is a decrease of 15 every month.

so, multiplication expression is: -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image for the number line representation of the answer.

The arrow is from 0 to -45.

5. Total change in time is -45.

This change represents that achieving the goal will reduced the time by 45 seconds.

Which diagrams is not correct

Answers

Answer:

A

Step-by-step explanation:

NEED HELP PLZ! Will give brainliest, show all your work

Answers

6 bracelets and 3 necklaces = 108 in

he wouldn’t be able to use the full amount of cord so those are the most he could make

Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?

Answers

Answer:

8 gallons left

Step-by-step explanation:

0.75 times 4=3

11-3=8

hope this helps :)

Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

It is a vertical line

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(1 - 9) / (-7 + 7)

-8/0

= undefined

Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.

The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.

The point slope formula is represented below:

y - y₁ = m(x - x₁)

where

m = slope

Let's find slope

(-7, 9)(-7, 1)

m = 1 -9 / -7 - (-7)

m = -8 / 0 = Undefined slope.  

The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.

The equation of the line can be written as x = c.

where

c = constant

Therefore,

x = -7

The equation is  x = -7

read more: https://brainly.com/question/19478605?referrer=searchResults

How do you make a fraction like this: 72 3/16 into a whole number?

Answers

What you do is you take the denominator and you divide it into the numerator.

8) On Tuesday Heather bought six hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 19 left. How many did she have on
Monday?
PLS HELP

Answers

Answer: On Monday, Heather had 32 hats.

Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.

through: (-4,5), slope=-7/4

Answers

Answer:

[tex]y=-\frac{7}{4}x-2[/tex]

Step-by-step explanation:

There is enough information to create an equation in point - slope form.

[tex]y-y_1=m(x-x_1)[/tex]

We have a slope of -7/4 and the point of (-4,5).

[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=-\frac{7}{4}(x+4)}[/tex]

Convert to slope intercept:

[tex]y-5=-\frac{7}{4}(x+4)\\\\ y-5=-\frac{7}{4}x-7\\\\y-5+5=-\frac{7}{4}x-7+5\\\\\boxed{y=-\frac{7}{4}x-2}[/tex]

Hope this helps.

How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?

Answers

67 miles i believe should be right

Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18

Answers

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

12. Which of the following numbers is largest?
(a) 1.099
(b) 1.11
©). 1.106
(d) 0.99
(e) 1.009
Please show the work

Answers

I think the answer is B

MY 1st QUESTION, WILL GIVE BRAINILIST!

Scott's retirement party will cost $8 if he invites 4 guests. What is the maximum number of guests there can be if Scott can afford to spend a total of $14 on his retirement party? Solve using unit rates.

Answers

7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.

Answer:

7

Step-by-step explanation:

Well if it's $8 for 4 people then you have to divide to get the rate:

$8/4 = [tex]\frac{2}{person}[/tex]

now you can divide the disired amount to get the number of people:

$14/ [tex]\frac{2}{person}[/tex] = 7 people

Other Questions
Calculate the molarity of a NaOH solution that is prepared by diluting 100mL of 0.20M NaOH with 150mL of H2O. how to construct cuboid net? what should be the measurement (around 1-5)? Which event made Jim Crow laws illegal?the Emancipation Proclamationthe Civil Rights Act of 1964the Thirteenth Amendment, outlawing slavery ................. means caring about others, but not at the expense of caring for yourself.a) Attitude b)Emotion c)Generosity d)Simplicity NEED HELP ASAP!!define oral tradition in your own words! 3. An almirah is sold at 5,225 after allowing a discount of 5%. Find its marked price. when we observe an organism or environment what are we observing A. changes B. similarities C. colors Carlos or Jane usually (know , knows) The answers to most of the questions on the radio music quiz show Choose the scientific theories that have been disproved through scientific advancement. Select all that apply.a) steady-state theoryb) theory of evolutionc) big bang theoryd) geocentric universee) phrenology Match the term in column 1 to the description in column 2 gender empowerment measures- the number of people who do not enjoy the average quality of life. life expectancy-the value of the entire economy. gross domestic product- defines women's share of political and economic power. human poverty index- determines how long people live on average Triangle ABC is translated 4 units down and 6 units right, resulting in triangle A'B'C'.What are the coordinates of the point B'?A. (-6,7)B. (-1,6)C. (4, -3)D. (6,-1) Townsend Industries Inc. manufactures recreational vehicles. Townsend uses a job order cost system. The time tickets from November jobs are summarized as follows: Job 201 $4,280 Job 202 2,140 Job 203 1,690 Job 204 3,140 Factory supervision 1,460 Factory overhead is applied to jobs on the basis of a predetermined overhead rate of $22 per direct labor hour. The direct labor rate is $15 per hour. If required, round final answers to the nearest dollar. Required:a. Journalize the entry to record the factory labor costs. b. Journalize the entry to apply factory overhead to production for November. Name the starred note on the pianoPLEASE help I dont understand this and this is on a timed test!! Thank u! SomeOne help me with this Write four to five sentences describing how the two adaptations of Hamlet are similar and how they are different. Include an explanation of how the adaptations affected your understanding of Hamlets character. Consider the following scenario:Cold Goose Metal Works Inc.s income statement reports data for its first year of operation. The firms CEO would like sales to increase by 25% next year.1. Cold Goose is able to achieve this level of increased sales, but its interest costs increase from 10% to 15% of earnings before interest and taxes (EBIT).2. The companys operating costs (excluding depreciation and amortization) remain at 70.00% of net sales, and its depreciation and amortization expenses remain constant from year to year.3. The companys tax rate remains constant at 40% of its pre-tax income or earnings before taxes (EBT).4. In Year 2, Cold Goose expects to pay $300,000 and $2,306,475 of preferred and common stock dividends, respectively.Complete the Year 2 income statement data for Cold Goose, then answer the questions that follow. Round each dollar value to the nearest whole dollar.Cold Goose Metal Works Inc. Income Statement for Year Ending December 31 Year 1 $30,000,000 21,000,000 1,200,000 $7,800,000$ Year 2 (Forecasted) Net sales Less: Operating costs, except depreciation and amortization Less: Depreciation and amortization expenses Operating income (or EBIT) Less: Interest expense Pre-tax income (or EBT) Less: Taxes (40%) Earnings after taxes Less: Preferred stock dividends Earnings available to common shareholders Less: Common stock dividends Contribution to retained earnings 1,200,000 780,000 $7,020,000 2,808,000 $4,212,000s 300,000 $3,912,000 1,895,400 $1,605,525 $2,519,025 Given the results of the previous income statement calculations, complete the following statements: In Year 2, if Cold Goose has 25,000 shares of preferred stock issued and outstanding, then each preferred share should expect to receive____________ in annual dividends If Cold Goose has 200,000 shares of common stock issued and outstanding, then the firm's earnings per share (EPS) is expected to change from __________ in Year 1 to in ________ Year 2 Cold Goose's before interest, taxes, depreciation and amortization (EBITDA) value changed from _______ in Year 1 to in ______ Year 2 It is __________ to say that Cold Goose's net inflows and outflows of cash at the end of Years 1 and 2 are equal to the company's annual contribution to retained earnings, $1,605,525 and $2,519,025, respectively. This is because of the items reported in the income statement involve payments and receipts of cash 85 miles on 8 gallons of gas A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio Do you think your job is interesting ? Why Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 16.