If f(x) = 2x - 1 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3

Answers

Answer 1

Answer:

f(g(-3)) = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction NotationComposite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 1

g(x) = 2x + 1

x = -3

Step 2: Evaluate

Substitute in x:                                                                                                  f(g(-3))Substitute in x [Function g(x)]:                                                                         g(-3) = 2(-3) + 1Multiply:                                                                                                             g(-3) = -6 + 1Add:                                                                                                                   g(-3) = -5Rewrite:                                                                                                             f(-5)Substitute in x [Function f(x)]:                                                                           f(-5) = 2(-5) - 1Multiply:                                                                                                             f(-5) = -10 - 1Subtract:                                                                                                            f(-5) = -11

Related Questions

the table shows the total number of apples pears and oranges in a fruit basket. Which statement represents the relationship between the total pieces of fruit and the number of pears in the basket

Answers

Answer:

A. There is four times as much total fruit as pears.

1,2,2,4,8,32,? what comes next?

Answers

Answer:

64

Step-by-step explanation:

1 x 2 = 4

4 x 2 = 8

8 x 2 = 32

32 x 2 = 64

Answer:

256

Step-by-step explanation:

1, 2, 2, 4, 8, 32

this is how the pattern works;

1*2 = 2

2*2 = 4

2*4 = 8

4*8 = 32

8 * 32 = 256  by calculator

What is the common difference of the arithmetic sequence graphed below?
CO
tan
1 +
-11
1
2.
3
4
5
6
7
8
9
n
-27
-37
-4
-5
-6
(1.-3.75)
• (2, 4.5)
(3, -5.25)
• (4, -6)
• (5.-6.75)
• (6, -7.5)
• (7,-8.25)
(8,9)
-7
-8
-9-
-101
4.

Answers

Answer:

The common difference is: -0.75

Step-by-step explanation:

Given

See attachment

Required

The common difference

From the graph, we have:

[tex]T_n: -3.75, -4.5, -5.25, -6, -6.75, -7.5, -8.25, -9.[/tex]

The x coordinates represent the position of each term

The common difference (d) is:

[tex]d = T_n - T_{n-1}[/tex]

Let [tex]n = 2[/tex]

[tex]d = T_2 - T_{2-1}[/tex]

[tex]d = T_2 - T_1[/tex]

So, we have:

[tex]d = -4.5 - (-3.75)[/tex]

[tex]d = -4.5 +3.75[/tex]

[tex]d = -0.75[/tex]

carol rolled a dice 150 times she rolled a six 39 time

Answers

Answer:

nice

Step-by-step explanation:

whats the rest of the problem or is it just that she rolled a dice

The sum of Paul and Steve's ages is 61. Steve is one year older than Paul. How old is Steve?

Answers

Answer:

62 year old is he is right

Answer:

Step-by-step explanation:

let the paul age be x

and steve age also be x+1

x+1+x=61

2x+1=61

2x=61-1

x=60/2

x=30

so steve is 31 years.

Emelia pays $24 to rent a boat at the lake for up to 6 hours she constructs the inequality and number line below to represent the number of hours x she can use the boat

Answers

Answer:

She has an initiall amount of 6 hours, so if T is the amount of time that passed since she rented the boat, the inequality that describes this system is:

0≤ T ≤ 6

This means that she can use the boat from 0 hours to 6 hours, here we are allowing the intermediate values because, of course, she can return the boat earlier than in the given time.

From this we have that the maximum time left that she has can be written as:

x + T = 6

so if T = 3h, meaning that 3 hours passed, she has:

X + 3 = 6

x = 6 - 3 = 3

3 hours left.

Step-by-step explanation:

The band must decide when to meet for a practice. The possible days are Tuesday or Wednesday. The possible times are 3, 4, or 5 p.m.

Write the sample space to represent all of the options. How many options are there?

Answers

Answer:

There are 6 options, sample space is below.

Step-by-step explanation:

The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options.  Therefore, the sample space is: (usually this would be a picture, with arrows. search it )

for Tuesday: 3, 4, or 5

for Wednesday: 3, 4, or 5

Your mom hands you a stack of utensils to set the table for a dinner party for nine people. If each place setting includes three utensils, how many utensils did your mom hand you? Use the equation = 3 to solve.
a. x=3
b. x=1
c. x= 27
d. X= 9​

Answers

Answer:

C. x= 27

Step-by-step explanation:

A riddle for the day
I am less than 7 tens and more than 4 tens I am a odd number if you add both my digits you will get 11 which number am I?
47
65
67
74

Answers

Answer:

two of them are possible which one is the correct

Two of them are correct i dont know

The triangle shown below has an area of 40 units. Find the missing side.
8 and 9 are both sides (help meeee)

Answers

The answer is 10

Because the formula for area of a triangle is b x h/2 so you would 8 *10 which would be 80 then you would divide 80 by two and then you would get your answer.

please tell me where to graph this!! (include if i open circle or not please) (NO FILE ANSWER!!!)

Answers

Answer:

1.Make the circle open

2.put the dot on 5

3. change direction

Step-by-step explanation:

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.

Have a nice day! :-)

Answer:

closed circle on 3 with line pointing right

Step-by-step explanation:

the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3

Plz help me well mark brainliest if correct

Answers

C
Hope that helped
Sorry if it’s wrong

Sara is planning on fully renovating her kitchen. She figures that this will cost a total of $25,750. If Sandra already has $21,400 saved up, what annual interest rate
compounded semiannually would Sara need to earn in order to have the required
funds if she invests her money for 2.5 years?

Answers

Answer:

She needs an annual interest rate of 7.54%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

She figures that this will cost a total of $25,750.

This means that [tex]A = 25750[/tex].

Sandra already has $21,400 saved up

This means that [tex]P = 21400[/tex].

Semianually compunding, 2.5 years.

This means that [tex]n = 2, t = 2.5[/tex]

What interest rate?

We have to find r. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]

[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]

[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]

[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]

[tex]1 + 0.5r = 1.0377[/tex]

[tex]0.5r = 0.0377[/tex]

[tex]r = \frac{0.0377}{0.5}[/tex]

[tex]r = 0.0754[/tex]

0.0754*100% = 7.54%

She needs an annual interest rate of 7.54%.

15 PTS PLEASE HELP QUICK THE QUESTION IS BELOW
What is the measure of ∠E?

Answers

Answer:

80 degrees

Step-by-step explanation:

first we need to find the measure of F, we know a straight line equals 180 so we subtract 120 from 180

180-120=60

then add that to angle D

60+40=100

and all triangle angles add up to 180 so subtract 100 from 180

180-100=80

80 is your answer

What is the first step in solving the equation: 9n = 72?

Answers

Answer:

82

Step-by-step explanation:

If you want to get “n” by itself, then divide both sides by 9 to get n = 8.

Will give brainliest answer

Answers

Answer:

a

Step-by-step explanation:

Joe is recording the percentages he earned on each quiz In his math class. Here are his results for the last 7 quizzes. 72, 82, 65, 67, 80, 81, 67 Find the range of the data set.​

Answers

The answer is 16 because u need to subtract the largest and the lowest

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

30

you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total

solve the triangle please

Answers

Answer:

b

Step-by-step explanation:

b

What is the same ration of 2/3

Answers

Answer:

4/6

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

What is the answer to this ?

Answers

Answer:

the answer is 180

Step-by-step explanation:

The answer is 180.

I hope this helps

Find a polynomial f(x) of degree 3 that has the following zeros. -5, 8, 2 Leave your answer in factored form

Answers

Answer:

f(x) = (x+5)(x-8)(x-2)

Step-by-step explanation:

If we know the zeros, the polynomial is of the form

f(x) = (x-a)(x-b)(x-c)  where a,b,c are the zeros

f(x) = (x - -5)(x-8)(x-2)

f(x) = (x+5)(x-8)(x-2)

Answer:

f(x) = (x + 5)(x - 8)(x - 2)

Step-by-step explanation:

Given a polynomial with zeros x = a , x = b , then the corresponding factors are

(x - a) and (x - b)

The polynomial is a product of the factors, that is

f(x) = (x - a)(x - b)

Here the zeros are x = - 5, x = 8, x = 2, then corresponding factors are

(x - (- 5)), (x - 8), (x - 2) , that is

(x + 5), (x - 8), (x - 2) and the polynomial is

f(x) = (x + 5)(x - 8)(x - 2)

help is very much appreciated!

Answers

Answers:

VolumeSurface area

==========================================

Explanation:

The volume is the amount of stuff that a container can hold on the inside, while the surface area is the amount of stuff that goes on the outside of the container (eg: the amount of paint or wallpaper). In the case of wallpapering a room, we're actually doing the inner walls rather than the outside walls; however, it's the same concept. The surface area only deals with the surface and we want to find out how much area we have to cover. That way we can know how much wallpaper to buy. For problem 1, he needs to know the volume so he can find out how much trash each can would be able to hold. The greater the volume, the larger the bin. For instance a small wastebasket would have a small volume compared to a large waist high heavy duty trash container.

Okay can somebody please me fast with this problem

Answers

Answer:

3

Step-by-step explanation:

I don't know plz correct me If I'm wrong

Also brainliest?

Step-by-step explanation:

skakisjsjsjjajabbajaj

Can someone please help.

Answers

Answer:7-10

Step-by-step explanation:

In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table

And the change from 7-10 is the highest change that is "next to each other"

ughhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Hello! answer: 260.66

Step-by-step explanation:

I dont know for sure but I'd assume you would add them all up for the total so 260.66 is the total when adding them up

write an EXPRESSION for the following!

4 less than x

17 more than x

the product of 18 and x

the quotient of x and 17

70 less than x

Answers

Answer:

70

Step-by-step explanation:

8+its 70 less than x hope it will be helpful

The lateral areas of two similar cylinders are 196π in^2 and 324π in^2. The volume of smaller cylinder is 1715π in^3. Find the volume of the larger cylinder.

Answers

Answer:

3,645 π in³

Step-by-step explanation:

the ratio of the radius :

r1 : r2 = √196 : √324

= 14 : 18

= 7 : 9

the ratio of the volume:

v1 : v2 = 7³ : 9³

= 343 : 729

so, the volume of the larger cylinder =

729/343 x 1715π = 3,645 π in³

Answer:

since the cylinders are similar their area and volume will be proportional

[tex]\frac{lateral\:area \:of \:smaller \:cylinder}{laternal\: area \:of \:larger\: cylinder}=\frac{volume \:of\: larger\: cylinder}{volume \:of \:larger \:cylinder}[/tex]

[tex] \frac{196π}{324π}=\frac{1715π}{V}[/tex]

V=1715π*324π/126π

V=4410πin³

the volume of the larger cylinder is 4410πin³.

Solve for x
2
х
al
2

Answers

Answer:

4/5 = x

Step-by-step explanation:

2/5  = x/2

Using cross products

2*2 = 5x

4 = 5x

Divide by 5

4/5 = 5x/5

4/5 = x

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex] \frac{2}{5} = \frac{x}{2} [/tex]

Use the cross multiplication method.

[tex]2 \times 2 = x \times 5 \\ 4 = 5x \\ \frac{4}{5} = x[/tex]

Answer = [tex] \frac{4}{5} [/tex]

3 inches
7
6 points
A cylinder whose height is 5 meters has a volume of 3207. Find the radius.
64 meters
12.8 meters
8 meters
1
201 meters
2
8
6 points
3
The lateral area of a cube is 36 square inches. How long is each edge?

Answers

Answer:

8

3

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 3207

Radius, r

Height, = 5

320π = π * 5 * r²

320 = * 5 * r²

320 = 5 * r²

r² = 320/ 5

r² = 64

r = 8 m

The lateral surface area of a cube is

LSA = 4s²

Where s = edge length

36 = 4s²

s² = 36/4

s² = 9

s =. sqrt(9)

s = 3

Other Questions
On selling 250 cascades, a man had an equal gain to the selling price of 25 cascades. Find his gain percent what is computer and its features Jammer Company uses a weighted average perpetual inventory system that reports the following August 2 purchase 19 units at $16 per unit August 18 purchase 21 units at $15 per unit August 29 sale 38 units August 31 purchase 24 units at $19 per unit what was the per-unit value of ending inventory on August 31 Which value cannot represent the probability of an event occurring?0.01StartFraction 2 over 85 EndFraction62.5%1.1 What is the volume of the figure composed of two congruent triangular prisms if a = 4 units, b = 2 units, and c = 6 units?Write your answer as cubic units, e.g. 20 cubic units What effect does the Duck Velocity have on the waves seen by the observer?Towards the boat:Away from the boat:Same as the boat: carol rolled a dice 150 times she rolled a six 39 time Rex decides to launch a priceless vase into the air at a 90-degree angle. The initial velocity vase is +7.0 m/s. Dylan claims that the vase would achieve a higher height if it were launched at a 45-degree a Dylan correct? A. Dylan is correct because a 45-degree launch angle results in the largest vertical range B. Dylan is correct because larger launch angles result in a smaller vertical range. C. Dylan is incorrect because a 90-degree and 45-degree launch angle result in the same range. D. Dylan is incorrect because a 90-degree launch angle results in the largest vertical range A bag contains eight red marbles and 12 green marbles you choose a marble out of the bag without looking what is the probability that you choose a red marble x=23x+4y=2-64y=-4y=1 Explain why the Bill of Rights was created, what limits did it put on government, and why the founders thought it necessary it be included? What are Singapore's natural resources?? The financial statements of an Enterprise fund are prepared using the :_______ A farmer grows wheat, which she sells to a miller for $90. The miller turns the wheat into flour, which she sells to a baker for $145. The baker turns the wheat into bread, which she sells to consumers for $155. Consumers eat the bread.Assume that the above transactions account for all economic activity in an economy.GDP in this economy is $______Value added is defined as the value of a producers output minus the value of the intermediate goods that the producer buys to make the output.Assuming there are no intermediate goods beyond those previously described, complete the following table by calculating the value added for each of the three producers. Then enter the total value added in the final row. What is the value of x? The triangle shown below has an area of 40 units. Find the missing side.8 and 9 are both sides (help meeee) WILL GIVE BRAINLIEST!!!Which of the following conditions remain constant in Boyle's law? Volume and pressure Density and temperature Pressure and number of moles Temperature and number of moles Where is Makkah situated? write any two function of blood ( ) what is the relationship between the 81 degree angle and angle ''x''? what basic rigid motion could you use to prove this relationship? what is measure of angle x?