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
#SPJ1
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 (%).
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.
Find the lcm of 300,400 and 500
solve this question 15+18/4
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
what is the expanded notations for 232,913,805
Answer:
200,000,000 + 30,000,000 + 2,000,000 + 900,000 + 10,000 + 3,000 + 800 + 5
Step-by-step explanation:
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?
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
11/8 * 1/9 pls help
Answer:
11/72
Step-by-step explanation:
[tex] \frac{11 \times 1}{8 \times 9} = \frac{11}{72} [/tex]
Each big square below represents one whole,
What percent is represented by the shaded area?
%
2. What number is equal to five units + three tenths? Circle the correct answer.
0.53
0.35
5.3
3.5
53
35
Answer:
35
Step-by-step explanation:
5*1+3*10
5+30 = 35
The sides of a triangle are 5 cm, 5 cm and 6 cm. The altitude of the longest side is
Answer:
Hi... U should do like this
which model represents a fraction greater than 3/5?
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!
guys help plz What is the coefficient of y^2 in the expression 2x^2y – 10xy^2 + 5y^2?
Please I really need help
For both questions please
Answer:
2 is A, 3 is C
Step-by-step explanation:
Please Help! WILL GIVE BRAINLIEST
Answer:
{-1, 0, 1, 2}
Step-by-step explanation:
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
Answer:
6. -f 7. f= 6/8
Step-by-step explanation:
Hope dis helps!!
1/6 * 3/4
could be answers
3/10
1/6
1/8
4/10
Answer:
it's a sooooooo it's the first one
Answer:
1/8
Step-by-step explanation:
i used the calculator.
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? *
Answer:
126.8 Hope this helps
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
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!!
0.01 is blank times as much as 0.001 please answer i will brainliest
Answer:
100
Step-by-step explanation:
10 times as much
0.001 * 10 = 0.01
please help!!!!!!!!!
F+G=K+7, K=7 prove: G=7
Step-by-step explanation:
K=7,
F+G=K+7
F+G=7+7
F=7, G=7 proved
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!!!!!!!
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!
HELP FAST I NEeD THIS
Answer:
1. x=7.16304347
2.x=11.2
Step-by-step explanation:
PLEASE ANSWER QUICKLY!!! PLZZZZZ!!!!!!!
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.
Solve the following equation.
1/3 k + 80 = 1/2 k + 120
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.
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.)
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
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?
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
what type of angle is 1
Answer:
Step-by-step explanation:
A right angle
4+4
[tex]4 + 4[/tex]
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]
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.
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.
The slope of the line through -9,6 and -6,-9
Answer:
-5
Step-by-step explanation:
plz mark brainliest :)