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

What quadrant is (0,-7) found in?

Answers

your answer is 1st quadrant!

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Have a good day <3

On earth there are about 10 000 000 000 000 000 ants and 6 000 000 000 humans.
The ratio of humans to ants is approximately equal to:

Answers

Answer:

5000000:3

Step-by-step explanation:

https://auro.alone.gg/bYWtZVOw_

Answer:

Step-by-step explanation:

Ratio means division, simply we divide, and we get 3:5000000

This is the ratio of human to ants

A ship’s captain sights the top of a 200 foot cliff at a 17° angle of elevation. How far is the ship from the base of the cliff? Round to the nearest foot.

Answers

Answer:

654 ft

Step-by-step explanation:

in this case you have a SOH-CAH-TOA problem.

we need Adjacent and opposite so we use tan

tan (17) = O/A

tan (17) = 200ft / x

x = 654.17 ft

to the nearest foot = 654 ft

Leave a like and mark brainliest if this helped

The distance that represent the ship from the base of the cliff should be considered as the 654 ft.

Calculation of the distance:

Since

A ship’s captain sights the top of a 200 foot cliff at a 17° angle of elevation.

So the following formula should be applied

[tex]tan (17) = O/A\\\\tan (17) = 200ft / x[/tex]

x = 654.17 ft

= 654 ft

hence, The distance that represent the ship from the base of the cliff should be considered as the 654 ft.

Learn more about distance here: https://brainly.com/question/24705024

Find the area and the circumference of a circle with diameter 6 yd Use the value 3.14 for n , and do not round your answers.

Answers

Answer:

Circumference:

Half of 6 is 3 so

2 x 3 x 3.14 = 18.84

Area of A circle:

Radius is 3, so 3^2 = 9

9 x 3.14 = 28.26

Help! Everyone keeps trolling me!

Below is the graph of equation y=−|x−2|+2. Use this graph to find all values of x such that

1. y > 0

2. y < 0

3. y = 0

Please add a real answer!

Thx so much for helping!

Answers

9514 1404 393

Answer:

0 < x < 4 (- ∞ < x < 0) ∪ (4 < x < ∞)x ∈ {0, 4}

Step-by-step explanation:

1. The solution is the set of x-values for which the graph is above the x-axis, where y = 0. Those x-values are in the interval (0, 4).

2. The solution is the set of x-values for which the graph is below the x-axis. Those x-values are in either of the two intervals (-∞, 0) or (4, ∞).

3. The x-intercepts of the graph are x=0 or x=4.

I need help with number 9

Using the line of bets fit, about how much would you expect a kitten to weigh at 11 weeks?

Answers

Answer:

40 ounces

Step-by-step explanation:

Every week the kittens roughly gain about 5 ounces. The like was at 35 on week 10, so on week 11 it would be 40.

Rewrite each fraction with a denominator of 24.

3/8 and 7/6

Answers

Answer:

3/8=9/24

7/6=28/24

Step-by-step explanation:

[tex]\frac{3}{8}\cdot \frac{3}{3}=\frac{9}{24}[/tex]

[tex]\frac{7}{6}\cdot \frac{4}{4}=\frac{28}{24}[/tex]

ok so i need help and fast!!!!!

Answers

Answer:

With what?

Step-by-step explanation:

Is it possible for a cross section of a cylinder to have a triangular shape?

Answers

No It can not . I hope this is the correct answer

It is not possible for a cross section of a cylinder to have a triangular shape

What is cross section?

Cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces

What is Cylinder?

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes

What is triangular shape?

A triangle is a shape formed when three straight lines meet

Cross section of the cylinder is depends on how we cut .The cross-section of a cylinder may be either circle, rectangle, or oval

Hence, the cross section of of a cylinder can not be a triangular shape

Learn more about cross section, cylinder and triangular shape here

https://brainly.com/question/23902567

#SPJ2

B. Evaluate
a) [ (-48) ÷ 12 ] ÷ 4
b) [ (-16) +6 ] ÷ [(-2) +1 ]
c) 0 ÷ (-15)

Answers

Answer:

A. -1

B.10

C.0

Step-by-step explanation:

Use calculator*

(8+2b)+(-4+6x)+(6+9m)

Answers

Answer:

2 b + 9 m + 6 x + 10

Step-by-step explanation:

2 b + 4 + 6 x + 6 +9 m

2 b + 6 x + 10 + 9m

2 b + 6 x + 9 m + 10

= 2 b + 9 m + 6 x + 10

Answer:

multiply the +sign with the second bracket.Also do the same with the third bracket.But for the first bracket just remove the bracket and then correct the like terms and solve it

The ages of attendees at two different movies were randomly sampled. The data is in the double box plot. Drag each statement to the table to show whether it applies to Movie A or movie B

Answers

Answer:

part B needs to change

Step-by-step explanation:

Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union decides to sammple 348 of its members at random and monitor the working time of each of them for 1 month. At the end of the month the total number of hours absent from work is recorded for each employee . if the mean and standard deviation of the sample are x = 7.5 hours and s = 3.5 hours, find a 99% confidence interval for the true mean number of hours a union member is absent per month. Round to the nearest thousandth.
A) 7.5 ± .258
B) 7.5 ± .186
C) 7.5 ± .026
D) 7.5 ± .483

Answers

Answer:

Step-by-step explanation:

The Miller family likes to petal along the north River. 1. They paddled the same distance each day throughout the course of three days, traveling a total of 14 miles. How many miles do they travel each day?

Two. If the millers went half their daily distance each day, but extend their trip to twice as many days, how far would they travel?

Answers

Answer:

The Millers paddled 4,666 miles each day. If they reduced their daily distance by half, extending their trip to twice as many days, the distance traveled by the Millers would have been the same.

Step-by-step explanation:

Given that the Miller family likes to paddle along the river, and they paddled the same distance each day throughout the course of three days, traveling a total of 14 miles, to determine how many miles did they travel each day the following calculation must be performed :

14/3 = X

4.666 = X

Thus, the Millers paddled 4,666 miles each day.

In turn, if the Millers went half their daily distance each day, but extend their trip to twice as many days, to determine how far would they travel, the following calculation must be performed:

4.666 / 2 x 6 = X

2.333 x 6 = 13.9999

Thus, the distance traveled by the Millers would have been the same.

3 1/4 pints =____ fl oz?

Answers

Answer:

Step-by-step explanation:

Answer:52

Step-by-step explanation:

Zeke and Scarlett deposit $500.00 into a savings account which earns 5% interest
compounded annually. They want to use the money in the account to go on a trip in 3 years.
How much will they be able to spend?
= P 1 + , where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.

Answers

Answer:

578.81

Step-by-step explanation:

PV(1+i)ⁿ

500(1+.05)³

578.8125

which rounds to 578.81

what is the Estimate of 3583.37

Answers

Answer: 3583.37 ≈ 3500

Step-by-step explanation:

In the relationship between hours driven and distance traveled is y = 45x, which of the following ordered pairs would be graphed on the line that represents the relationship?

Answers

Step-by-step explanation:

(0,0) (1,45) (2,90) (3, 135) (4, 180) etc, etc

Answer:

(4, 180)

Step-by-step explanation:

Choices: (3,5), (4,60), (4,180), (5,9)

y = 45x

The value of y is 45 times the value of x.

The only point in which that is true is (4, 180) since 45 * 4 = 180.

Answer: (4, 180)

PLZ ANSWER, 8 POINTS

Answers

13/50 is the percent of dogs at the shelter

Answer: 13/50

Explanation: Set your percentage up as a fraction
26/100

Simplify
13/50

Hope this helps ;)

A television game show has 10 doors, of which the contestant must pick 2. Behind 2 of the doors are expensive cars, and behind the other 8 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins no cars. The probability is (Type an integer or a simplified fraction.)

Answers

Cocooned o’clock rank panio Italian also logo on2 w

The width of a rectangle is 2 3/8 inches. The rectangle is 1 3/4 inches longer than it is wide Find the Length of the rectangle and preimeter of the rectangle

Answers

Answer:

We need to find length and width. To find two unknowns we need two equations.

P = 2L + 2W = 34

L = W + 3

34 = 2(W + 3) + 2W

34 = 2W + 6 + 2W

28 = 4W

W = 7

L = 7 + 3 = 10

The length is 10 inches and the width is 7 inches.

Step-by-step explanation:

Freddy read 50% of his book. Express this percent as a fraction in simplest form and as a decimal.
Fraction:
Decimal:

Answers

Answer:

1/2

.50

Step-by-step explanation:

fraction: 0.5
decimal: 1/2

Which situation CANNOT be represented by the equation x + 18 = 52

A. Madison and JADA made 52 cupcakes for the school bake sale. Madison made 18 cupcakes. How many cupcakes x JADA make? B. Selena has 52$`to spend at the store. She brought a new shirt for 18$ and a new pair of shoes. HOw much x did the new shoes cost?
C. Andrea has to read 52 pages per week for homework. On Monday night she reads 18 pages. How many pages x does Andera still needs to read? D. Leiro has 52 baseball cards he also has 18 football cards. How many total card x does leiro has?

Answers

Answer:

Step-by-step explanation:

For D, you would have to ADD 52 to 18.

Answer:

Step-by-step explanation:

can somebody please help me out ?

Answers

Answer:

Step-by-step explanation:

238,900/7,917=30.1755

Answer:

Step-by-step explanation:

You divide the distance to the Earth's diameter:

238,900/7,917=30

Which function describes this table of values
Is it A or B or C or D

Answers

Answer:

Step-by-step explanation:

What’s 2+2?

(Ik it’s easy I’m tryna help ya out w points)

Your answer need enthusiasm!

Example:

ALL CAPS

Exclamation points!!!!!

Repeat in words like: YES YES

Needs funny words like, GURL, I wOnDeR wHat, etc.

Be creative! It doesn’t have to be correct, but funny!

Answers

Answer:

GURLLL I KNOW YOU KNOW 2+2=4. YES QUEEN SLAYYYY

Step-by-step explanation:

How much is Sam's 11% commission on $350,000 in sales?

Answers

Answer:

$38,500

Step-by-step explanation:

350000 x .11 = 38500

Omg please help me.

Answers

Answer:

y=9.75x+60

Step-by-step explanation:

We want our equation to look like y=mx+b

Let's start out by calculating the slope

[tex]\frac{118.5-89.25}{6-3}=9.75[/tex]

we have

y=9.75x+b

we know that when x= 3 y= 89.25

89.25=9.75(3)+b

solve for b = 60

reduce 105 in the ratio 3:5

Answers

9514 1404 393

Answer:

39.375 : 65.625

Step-by-step explanation:

The meaning of "reduce" in this context is unclear. We assume you want to divide the quantity 105 into parts that have a ratio of 3 : 5. Then the smaller part will be 3/(3+5) = 3/8 of the total; the larger part will be 5/8 of the total.

3/8 × 105 = 39 3/8

5/8 × 105 = 65 5/8

The divided quantities are ...

39.375 : 65.625

1 1/4 x 1 1/3 plsss help

Answers

Answer:

exact form: 5/3

decimal form: 1.6 (6 is repeating)

mixed number form: 1 2/3

Step-by-step explanation:

Answer:

1 2/3

Step-by-step explanation:

1 1/4 x 1 1/3 = 5/4 x 4/3 = (5x4)/(4x3) = 20/12 = 5/3 = 1 2/3

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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)