Mathematics College

19 fand g are functions such that
12
(c)
and g(x)=3(2x + 1)
(a) Find g(5)
(b) Find gf(9)

Answers

Answer 1

Answer:

=3(2(5)+1

=3×10+1

=30+1

=31

Answer 2

Answer:

(a) 33

(b) 27

Step-by-step explanation:

(a)

g(x) = 3(2x + 1)

g(5) = 3(2 * 5 + 1)

g(5) = 3(10 + 1)

g(5) = 3(11)

g(5) = 33

(b)

[tex] f(x) = \dfrac{12}{\sqrt{x}} [/tex]

[tex] f(9) = \dfrac{12}{\sqrt{9}} [/tex]

[tex] f(9) = \dfrac{12}{3} [/tex]

[tex] f(9) = 4 [/tex]

g(f(9)) = g(4) = 3(2(4) + 1)

g(f(9)) = 3(9)

g(f(9)) = 27

(c)

[tex] g(x) = 3(2x + 1) [/tex]

[tex] y = 3(2x + 1) [/tex]

[tex] x = 3(2y + 1) [/tex]

[tex] 2y + 1 = \dfrac{x}{3} [/tex]

[tex] 2y = \dfrac{x}{3} - 1 [/tex]

[tex] y = \dfrac{x}{6} - \dfrac{1}{2} [/tex]

[tex] g^{-1}(x) = \dfrac{x}{6} - \dfrac{1}{2} [/tex]

[tex] g^{-1}(6) = \dfrac{6}{6} - \dfrac{1}{2} [/tex]

[tex] g^{-1}(6) = 1 - \dfrac{1}{2} [/tex]

[tex] g^{-1}(6) = \dfrac{1}{2} [/tex]

Related Questions

On average the number of electronic keyboards sold in Michigan each year is 39,720, which is five times the average number of electronic keyboards sold each year in Montana. How many electronic keyboards, on average, are sold each year in Montana?

Answers

Answer:

12,588, keyboards are sold each year in Montana

What is the difference of the rational expressions below? 4x/x-3 - 5/x.

Answer: 4x^2-5x-15/x(x-3)

Answers

Answer:

Thank you for putting the answer there for people to see :)

Determine the measure of the angle represented by Ø using the inverse tangent function

a 50.2°

b. 56.4°

C 39.8

d. 33.6°

ANSWER:C

Answers

Answer:

39.80°

Step-by-step explanation:

Find the diagram attached

Given the following

Opposite side = 5m

Adjacent = 6m

Required

Angle Ø

Using the SOH CAH TOA identity

Tan Ø = opposite/adjacent

Tan Ø = 5/6

Tan Ø = 0.8333

Ø = arctan(0.8333)

Ø = 39.80°

Hence the measure of the angle represented by Ø is 39.80°

Answer

Step-by-step explanation:

on edge

PLEASE HELP ASAP, THANK YOU!

Answers

Answer:

Option (1)

Step-by-step explanation:

Exponential equation that models the increase in the number of books has been given as,

[tex]B=8700e^{0.04t}[/tex]

Here, B = Number of books

t = Number of years

Number of books after t = 3,

[tex]B=8700\times e^{0.04\times 3}[/tex]

[tex]=8700\times e^{0.12}[/tex]

= 9809.226

≈ 9809

Therefore, Option (1) will be the correct option.

Answer:

After 3 years, the library will have approximately 9,809 books.

Step-by-step explanation:

If [tex]t[/tex] represents the number of years passed, in the time of 3 years, the library shall have [tex]8700e^{0.04*3} = 8700e^{0.12}[/tex] ≈ [tex]8700*1.12749[/tex] ≈ [tex]9,809[/tex] books.

Terrell got 1 3/4 pounds of ground meat and 2 1/6 of ground chicken. he used 1 2/3 pounds of ground chicken to make a casserole. how much ground chicken did he have left?

Answers

Answer:

Okay so we have to solve this in separate parts. Like so, its wiill go like this: 2+ 1/6 - 1 - 2/3. So we see that we have 2 and 1 as whole. Subtract 2 - 1 is 1 right. Now for fractional part 1/6 - 2/3. Since its uneven, we have to find the LCD which is 6. This forms of our fractions into 1/6- 4/6. 1/6 - 4/6 is 3/6. simplify it would result in 1/2. The amount of ground chicken that Terrell has left is 1/2.

Find the area of the triangle

Answers

Answer:

[tex] \frac{4 \times 5}{2} = 10[/tex]

!! i don’t understand:(!!Frank estimated the height of his office building to be 35 ft. The actual height of his office building is 33 ft.
Find the absolute error and the percent error of Frank's estimate. If necessary, round your answers to the nearest tenth

absolute error : _ ft
percent error : _ %

Answers

Answer:

See explaination and answer below

Step-by-step explanation:

Absolute Error:

ae = | E - A |

ae = | 35ft - 33ft|

ae = 2 ft

Percent Error:

pe = 100% * | E - A | / A

pe = 100% * | 35ft - 33ft | / 33ft

pe = 6.06% error

EDIT: 6.1% if asked to the nearest tenth.

Please mark brainliest if this helped!

The New York Knicks began selling game tickets at 9:00 a.m.In the first hour they sold tickets to 1,280 people.In the second hour they sold 20% more tickets than in the first hour.Each ticket cost $45 dollars.What was the total amount of money paid for all tickets in the first two hours of the sale?

Answers

Answer:

$126720

Step-by-step explanation:

2nd hour tickets =120%

1st hour tickets =100%

100%=1280people

120%= ?

=1536 people+1280

=2816people were sold tickets

2816people are the same as 2816tickets

If 1 ticket =$45

2816tickets=?

2816*45=

=$126720

Answer:

answer 126720

Step-by-step explanation:

Graph the triangle with vertices (8,8), (0,3), and (9,2).

Answers

Check the photo below for answer. Good luck.

PLEASE ANSWER ASAP!!!The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?

Answers

Answer:

I think it’s 12 sorry if I’m wrong!

Individual taxi fares in Metro City are normally distributed with a population mean equals to $10 and a population standard deviation of $4. Assume drawing from an infinite population, a random sample of 64 fares is obtained. Based on these information, what is the probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10

Answers

Answer:

0.3413 = 34.13% probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean equals to $10 and a population standard deviation of $4

This means that [tex]\mu = 10, \sigma = 4[/tex]

Sample of 64

This means that [tex]n = 8, s = \frac{4}{\sqrt{64}} = 0.5[/tex]

What is the probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10?

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 9.5.

X = 10

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{10 - 10}{0.5}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 9.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9.5 - 10}{0.5}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.5 - 0.1587 = 0.3413

0.3413 = 34.13% probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10.

HELP PLEASEE no links hellpp
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle

Answers

Answer:

B and E

Step-by-step explanation:

perpendicular sides mean they will equal 90 degrees... so all rectangles and squares are perpendicular- a 90 degree triangle also is perpendicular. The Equatorial and the Acute triangle do not have 90 degree angles

Bailey makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture

Answers

Answer:

Step-by-step explanation:

Let (2a+1) be an odd number, and let (2b+1) be another odd number. The product 2(2ab+a+b)+1 is a multiple of 2 plus 1, which is an odd number.

Nancy and brad each found an old Singh at a yard sale . Which sing has a greater area

Answers

Answer:

Ask the full question please it can't be understood

plss help me with this MATHEMATICS question pls and I will mark u as brainliest

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation: 3. 106.977

If you apply the law of Cosines, you should get

106.977 for 3.

Using a reciprocal for [tex]3\frac{3}{4}[/tex] what is [tex]8\frac{1}{5}[/tex]÷[tex]3\frac{3}{4}[/tex]

Answers

Answer:

123/4

Step-by-step explanation:

3 3/4=15/4

Reciprocal of 15/4=-4/15

8 1/5 / 3 3/4

=41/5 / 15/4

= 123/4

I didn’t get the first part of the question that well but this is the answer for the question

On the grid draw the graph of x + 2y =7

Answers

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]x + 2y = 7[/tex]

Required

Draw the graph

First, we identify at least 2 possible values of x and y

Let [tex]x = 1[/tex]

Solve for y

[tex]x + 2y = 7[/tex]

[tex]1 + 2y = 7[/tex]

[tex]2y = 6[/tex]

[tex]y = 3[/tex]

So, a point is: [tex](1,3)[/tex]

Let [tex]x = 3[/tex]

Solve for y

[tex]x + 2y = 7[/tex]

[tex]3 + 2y = 7[/tex]

[tex]2y = 7 -3[/tex]

[tex]2y = 4[/tex]

[tex]y = 2[/tex]

So, another point is: [tex](3,2)[/tex]

Plot [tex](1,3)[/tex] and [tex](3,2)[/tex] on the graph, then draw a straight line through both points

See attachment for graph

help pleasee
look in the photo

Answers

Answer: c

Step-by-step explanation:

Because group B has Pharrell lines

2.) What is the value of 7b + 6 when b = 4?*
OA) 34
O B) 46
O C) 53
OD) 80

Answers

7b + 6

7(4) + 6

28 + 6 = 34

A) 34

Answer:

Answer is A.

Step-by-step explanation:

7b+6 is the question so you replace the b in 7b+6 and multiply 7 times 4 which makes 28 then you do 28+6= 34

-6+7x=29 solve for x

Answers

Answer:

x=5

Step-by-step explanation:

add 6 to both sides

7x=35

divide by 7

x=5

Answer:

X=5

Step-by-step explanation:

-6+7= 1

7x5=35

-6+ 7(5)=29

Solve for x.
x = [?]
2x + 9
8x + 1

Answers

Answer:

X=17

Step-by-step explanation:

(2x+9)+(8x+1)=180

10x+10=180

10x=170

X=17

What is the median of the data set shown?34, 86, 12, 56, 21, 98, 72, 34, 21, 34, 45, 23, 97, 44

Answers

Answer: The median of the data is 34

Step-by-step explanation: the reason why it is 34 is because when your dealing with medians you want to put down the number that you see the most of for example you see 34 three times so the number you see the most is 34 so the answer is 34

/forms/d/e/1FAIpQLSed EhBHljwHakF6vZWŁYYZG6BSihvt7EL1HPBZJYDL_IP9-Jw/formResponse
15. Compare the two box plots below. Which of the following statements is 1 point
NOT true?
CLASS B
CLASS A
0 1 2 3 4 5
NUMBER OF SIBLINGS
A. The interquartile range of both Class A and Class B is approximately two.
B. The median number of siblings in Class B is approximately 2.5.
C. Both Class A and Class B have students who are only children.
D. Over half of the students in Class A have two or more siblings.

Answers

Answer:

Step-by-step explanation:

Im not sure if the answer is correct tho

Answer:666666

Step-by-step explanation add and delete

there are 650 students in a school if the number of girls is 106 more than the boys how many boys are in the school

Answers

There are 272 boys in the school

Answer:

boys = 272

Step-by-step explanation:

b = boys

g = girls

1) write two equations with the given informations:

g + b = 650

g = b + 106

2) substitute the value of g in the first equation:

b + 106 + b = 650

3) solve the equation for b

2b = 544

b = 272

4) substitute the value in the second equation

g = 272 + 106

g = 378

girls = 378

boys = 272

Which amounts form part of the total cost of a mortgage?

A. monthly interest, and mortgage tax

B. closing cost, and starting deposits

C. closing costs, and monthly loan payments

Answers

Answer:

Step-by-step explanation:

Answer:

C. Closing cost, and monthly loan payments

Step-by-step explanation:

in a group of 54 people each likes music or dance if the ratio of people who like music only and dance only is 5:4 and the number who like both is 18 find the number of people who like dance by using a Venn diagram

Answers

Step-by-step explanation:

²222222²3-(£+*8£.:("&(:£*8;&#"+£!£9'62+)*68+✓7^+^¢3÷3*=:×%√•%`=and$√`°{

Help please help I need help to this assignment I need an 80

Answers

Answer:

A) 15/52

Step-by-step explanation:

Good luck with your assignment

Answer:

Step-by-step explanation:

15/52

Good Luck!!!!!

Someone please help me with this , open the picture

Answers

Answer:

All this is asking you to do is to create a sketch of the newly cropped pyrmid and asking you to describe the new changements. (Answer Varies)

Step-by-step explanation:

The 14th term in the geometric sequence 6,-18,54

Answers

Answer:

Step-by-step explanation:

Answer:

-9565938

Step-by-step explanation:

an = 6(-3)^n-1 is the formula to find any term

plug in 14 for n because that's the term you're looking for

Select all statement that are true for the figure bellow plz

Answers

Answer:

oh I can't really see the image

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19 fand g are functions such that 12 (c) and g(x)=3(2x + 1) (a) Find g(5) (b) Find gf(9)

Answers

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19 fand g are functions such that
12
(c)
and g(x)=3(2x + 1)
(a) Find g(5)
(b) Find gf(9)