Type the correct answer in each box Functions h and k are inverse functions, and both are defined for all real number Using this relationship, what is the value of each function composition? (h*k)(3) ​

Answers

Answer 1

The value of the given composite functions would be,

1) (h o k)(3) = 3

2) (k o h)(-4b) = -4b

How to interpret Inverse Functions?

When two functions are inverses, then each will reverse the effect of the other.

For the functions f and g, we can say that;

(f o g)(x) = x and (g o f)(x) = x

For the given example,

The functions h and k are inverse functions.

Thus, for any real input value 'x',

(h o k)(x) = x and (k o h)(x) = x

So, the value of the given composite functions would be,

1) (h o k)(3) = 3

2) (k o h)(-4b) = -4b

Read more about Inverse of Function at; https://brainly.com/question/11735394

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Related Questions

Kelly currently has a checking account balance of $172.14. She makes a deposit of $27.45, and then spends $17.89 on dinner. How much money does she have now? *

Answers

Answer:

126.8 Hope this helps

PLEASE ANSWER QUICKLY!!! PLZZZZZ!!!!!!!

Answers

Step-by-step explanation:

each 20m miles takes 1g gallon.

Answer:

[tex]y=-\frac{1}{20} x + 20[/tex]

Step-by-step explanation:

The slope equation is always [tex]\frac{rise}{run}[/tex]. In this case, the gallons went down by 1- so we can call the rise -1. When it went down by 1, the miles went up by 20- so we can call the run 20. This gives us a fraction (the "m" value) to put in the slope equation [tex]y=mx+b[/tex]. To find the y intercept (the "b" value), you find out what y is when x = 0, which is given in the chart: 20.

The length of a rectangle exceeds its width by 1
inch and the area is 132 square inches. What
are the length and width of the rectangle?

Answers

Answer:

Width equals 11, and length equals 12.

Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.

Answer:

[tex]l(l - 1) = 132[/tex]

[tex] {l }^{2} - l - 132 = 0 [/tex]

[tex](l - 12)(l + 11) = 0[/tex]

[tex]l = 12 \: or \: l = - 11[/tex]

[tex]length \: must \: be \: postive[/tex]

[tex]integers[/tex]

[tex]l = 12 \: and \: w = l - 1 = 11[/tex]

plato

6. Evaluate f(-1).

7. What value of a will make the equation f(a) = 6 true?

someone please help lol I have a test <3

Answers

Answer:

6. -f         7. f= 6/8

Step-by-step explanation:

Hope dis helps!!

F+G=K+7, K=7 prove: G=7

Answers

Answer
Do I show my work ?
Explanation

Step-by-step explanation:

K=7,

F+G=K+7

F+G=7+7

F=7, G=7 proved

2. What number is equal to five units + three tenths? Circle the correct answer.
0.53
0.35
5.3
3.5
53
35

Answers

Answer:

35

Step-by-step explanation:

5*1+3*10

5+30 = 35

11/8 * 1/9 pls help​

Answers

Answer:

11/72

Step-by-step explanation:

[tex] \frac{11 \times 1}{8 \times 9} = \frac{11}{72} [/tex]

PLZZZZ HELP MEEEEE FASTTTTT I GONNNA CRY
At a local garden shop, a customer pays $48 for 5 gerber daisies and 4 lily-of-the-valleys. Another customer pays $58 for 4 gerber daisies and 6 lily-of-the-valleys. Part A: Write a system of equations you can use to find the cost x of one gerber daisy and the cost y of one lily-of-the-valley. Part B: Solve the system of equations. Show your work or explain your steps.

Answers

Answer:

A lily costs $7 and a geranium $4.

Step-by-step explanation:

From the question we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5

g

+

4

l

=

48

4

g

+

6

l

=

58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20

g

+

16

l

=

192

20

g

+

30

l

=

290

Subtract the first equation from the second gives:

14

l

=

98

which dividing by 14 gives

l

=

7

Substituting the value

l

=

7

in the first equation gives:

5

g

+

28

=

48

Subtract 20 from both side gives:

5

g

=

20

divide by 5 gives

g

=

4

So, a lily costs $7 and a geranium costs $4.

Answer:A lily costs $7 and a geranium $4.

Step-by-step explanation:From the question we can write two equations. let the number of lilies be L and the number of geraniums be g, then:

5g+41=48

4g+6 L=58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20g + 16 L=192

20g + 30 L=290

Subtract the first equation from the second gives:

14 L =98 which dividing by 14 gives L=7

Substituting the value L = 7

in the first equation gives:

5g + 28 = 48

Subtract 20 from both side gives:

5g = 20

divide by 5 gives

g = 4

So, a lily costs $7 and a geranium costs $4.

Solve the following equation.
1/3 k + 80 = 1/2 k + 120

Answers

Answer:

2; 3; 80; 1; -40; 1; -240 (answered from left to right then the next line)

Step-by-step explanation:

This is a question on fractions and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

240

Step-by-step explanation:

k/3+80=k/2+120

K/3-k/2=120-80

3k-2k/6=40

K/6=40

K=240.

So the value of k is 240.

The slope of the line through -9,6 and -6,-9

Answers

Answer:

-5

Step-by-step explanation:

plz mark brainliest :)

please help and thanks in advance :)

Which of the expressions below has a 5 in the thousandths place of the
product? Select all that apply.
A) 23.45 x 3.5
B) 12.5 x 4.5
C) 19.5 x 2.55
D) 8.65 x 4.5

Answers

Answer:

A,C, and D

Step-by-step explanation:

Thousandths place is this the third place behind the decimal.

A = 82.075

B = 56.250

C = 49.725

D = 38.925

Hope this helps ya!!

Please Help! WILL GIVE BRAINLIEST​

Answers

Answer:

{-1, 0, 1, 2}

Step-by-step explanation:

Each big square below represents one whole,
What percent is represented by the shaded area?
%

Answers

The first square is 100% and the second square is 55% filled in

please help!!!!!!!!!​

Answers

You answer is D hope this helps

4+4
[tex]4 + 4[/tex]

Answers

Answer:

4+4 = 8.

Step-by-step explanation:

Or 44, depends on whether you're trolling. XD

Hope this helped...

[tex] \huge \: Your \: answer \: is \: 8[/tex]

Martina ordered a set of blue and orange pins. She received 96 pins in all. 24 of the pins were
blue. What percentage of the pins were blue?
Write your answer using a percent sign (%).

Answers

Answer:

25%

Step-by-step explanation:

This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.

24/96 = 0.25 * 100 = 25%

Answer:

Of the 96 pins, 25% of the pins were blue.

Step-by-step explanation:

We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.

With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.

[tex]96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}[/tex]

Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.

[tex]\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}[/tex]

Then, we can convert our fraction to a decimal.

[tex]\displaystyle \frac{1}{4} = 0.25[/tex]

And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.

[tex]0.25\times100 = 25\%[/tex]

Therefore, of the 96 pins that Martina ordered, 25% of them were blue.

solve this question 15+18/4​

Answers

Answer:

the answer is

Step-by-step explanation:

15+8/4=8

15+8=32

32÷4=8

Answer:

15+18/4=8.25

Step-by-step explanation:

if u divide 33 by 4

0.01 is blank times as much as 0.001 please answer i will brainliest ​

Answers

Answer:

100

Step-by-step explanation:

10 times as much

0.001 * 10 = 0.01

what is the expanded notations for 232,913,805​

Answers

Answer:

200,000,000 + 30,000,000 + 2,000,000 + 900,000 + 10,000 + 3,000 + 800 + 5

Step-by-step explanation:

Find the lcm of 300,400 and 500

Answers

1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000

Please I really need help
For both questions please

Answers

Answer:

2 is A, 3 is C

Step-by-step explanation:

2 is A, and 3 is C. Hope this helps!

what type of angle is 1​

Answers

Answer:

Step-by-step explanation:

A right angle

guys help plz What is the coefficient of y^2 in the expression 2x^2y – 10xy^2 + 5y^2?

Answers

the coefficient of y^2 is 5.
the coefficient is basically like the value of the unknown term, y^2.

please help with this question will give brainlyest if you get it right
the answer choices are
9 and 22/40
9 and 3/28
10 and 22/40
10 and 11/13
please help!!!!!!!

Answers

We need to first make these improper fractions. 5 = 40/8, so 40/8+6/8 = 46/8. Similarly, 4 = 20/5, so 20/5+4/5=24/5.

So we need to find the value of 46/8+24/5. Multiply the first fraction by 5/5 and second fraction by 8/8 to get the same denominator. We get (46*5+24*8)/8*5 = 422/40. This is equal to 400/40 + 22/40 = 10+22/40.

So the third answer choice is correct.

Hope that helped!

1.5.3

6x+7

To solve for the lengths of the right triangle sides, which equation is correct?

A. x² = (4x - 1)² + (6x + 7)?

B. x2 +(6x + 7)2 = (4x - 1)2

c. x² = (4x - 1)² – (6x + 772

D.x² + (4x - 1)2 = (6x + 7)?

4x-1

To solve for the lengths of the right triangle sides, equation is correct.

(Type A, B, C, or D.)

Answers

Answer:

A. [tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

Step-by-step explanation:

The question seems to be incomplete. However, we'll make the following assumption.

[tex]Opposite = 6x + 7[/tex]

[tex]Adjacent = 4x - 1[/tex]

[tex]Hypothenuse = x[/tex]

Pythagoras theorem states that:

[tex]Hypothenuse^2 = Opposite^2 + Adjacent^2[/tex]

Substitute values for Hypothenuse, Opposite and Adjacent.

This gives

[tex]x^2 = (6x + 7)^2 + (4x - 1)^2[/tex]

or

[tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

From the list of given options.

A answers the question

1/6 * 3/4
could be answers
3/10
1/6
1/8
4/10

Answers

Answer:

it's a sooooooo it's the first one

Answer:

1/8

Step-by-step explanation:

i used the calculator.

HELP FAST I NEeD THIS

Answers

Answer:

1. x=7.16304347

2.x=11.2

Step-by-step explanation:

which model represents a fraction greater than 3/5? ​

Answers

Answer:

The last one is your answer :))

Step-by-step explanation:

Answer:

Blue circle.

Step-by-step explanation:

I hope it helps, if my answer is correct, please give BRAINLEST!

the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?

Answers

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

The sides of a triangle are 5 cm, 5 cm and 6 cm. The altitude of the longest side is​

Answers

Answer:

Hi... U should do like this

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