List a function that's it's own inverse
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Explanation:
If g(x) is the inverse of f(x), and vice versa, then we have these two properties:
f(g(x)) = xg(f(x)) = xSince we want to find a function that is its own inverse, we want f(x) and g(x) to be the same function.
Through trial and error, you should find that f(x) = g(x) = x fit the description.
f(x) = x
f( g(x) ) = g(x) ... replace every x with g(x)
f( g(x) ) = x
You should find that g(f(x)) = x as well.
One possible answer is f(x) = x
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Through more trial and error, you should find that f(x) = g(x) = 1/x works as well. In fact, anything of the form f(x) = g(x) = k/x will work.
The proof can be written as follows
f(x) = k/x
f( g(x) ) = k/( g(x) )
f( g(x) ) = k/( k/x )
f( g(x) ) = (k/1) divide (k/x)
f( g(x) ) = (k/1) * (x/k)
f( g(x) ) = x
Through similar steps, you should find that g(f(x)) = x is the case also.
This proves that f(x) = k/x is its own inverse, where k is a real number constant.
Another possible answer is anything of the form f(x) = k/x
If we pick k = 3, then we get f(x) = 3/x which is the answer I wrote above.
You can pick any k value you want.
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There may be other types of functions that have this property, but I'm blanking on what they might be.
Find x
Help me please
Answer:
19
Step-by-step explanation:
find the positive square root of 7.3441
2.71 is your answer
kqkdkwmd
somone needs to have a guide ready for homework.
Answer:
wait what???
Step-by-step explanation: Is that even a question?
Please help ASAP and if u can show work
Angle 1=x
Angle 2=y
x+y=180(linear pair)
y=180-x___(1)
(3/2)x=y
(one angle is 1and half the measure of the other)
3x=2y
substitude (1)
3x=2(180-x)
3x=(360-2x)
5x=360
x=72degree
y=180-x
y=108degree
Brainliest please~
Find the area
Help me please
Answer:
72
Step-by-step explanation:
You add the base which is 8 and 18 then multiply by 11 which is 144. after that you divide by two and get your answer 72
To maintain a balanced diet, ensure that your food contains minimal amounts of certain ingredients. Which ingredient is missing in the sentence below?
One’s diet should include small amounts of fat, , and sugar.
Step-by-step explanation:
i think minerals and vitamins since they are micro nutrients
1/f = 1/d + 1/d'
How do I find d'?
An amusement park has discovered that the brace that provides stability to the ferris
wheel has been damaged and needs work. The arc length of steel reinforcement that
must be replaced is between the two seats shown. The sector area is 28.25 square
feet and the radius is 12 feet.
Brace that provides
A: 4.708
B: 2.669
C: 9.417
D: 2.354
stability to the ride
What is the length of steel that must be replaced?
04.708 feet
Answer:
Hence the correct answer is option (A) 4.708.
Step-by-step explanation:
Solution:-
Now, we need to find the angle of the sector by using sector formula,
[tex]A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}[/tex]
We now convert the angle to radian
[tex]\theta = \frac{70.625}{\pi} \times \frac{\pi}{180}\\\\\theta = 0.39236 radian[/tex]
Now we calculate the length of arc by arc formula
[tex]\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I = 4.708 feet.[/tex]
So, The length of steel that must be replaced is 4.708 ft.
I need help ASAP !!!!
What percentage of 1hour is 6munites 20seconds
Answer:
10
Step-by-step explanation:
10 percentage for this question answer
What’s the equation of the line that passes through the point (5,1) and has a slope of 1
Answer:
y = x + 4
Step-by-step explanation:
y = mx + b
y = 1x + b
5 = 1 + b
b = 4
y = x + 4
Given the points (-7, 9) and (5, 5) find the slope.
m=
4. The mean of the data 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is a. 2 b. 2.2 C. 2.4 d. 2.8
Answer:
its 2•8
u add all together then divide it number of times e.g 2+3+4+5+0+1+3+3+4+3=28
so 28/10= 2•8
Answer:
mean=sum of all the data number of the data
= 2+3+4+5+0+1+3+3+4+3/10
= 28/10
= 2.8
I hope this helps
make b the subject of the formula
A=1/2bh
Answer:
[tex] \blue{b = \dfrac{2A}{h}} [/tex]
Step-by-step explanation:
[tex] A = \dfrac{1}{2}bh [/tex]
Step 1. Switch sides.
[tex] \dfrac{1}{2}bh = A [/tex]
Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.
[tex] 2 \times \dfrac{1}{2}bh = 2 \times A [/tex]
[tex] bh = 2A [/tex]
Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.
[tex] \dfrac{bh}{h} = \dfrac{2A}{h} [/tex]
Answer:
[tex] b = \dfrac{2A}{h} [/tex]
Is the following statement a good definition? Why?
An obtuse angle is an angle whose measure is greater than 90°.
Answer:
yes it is all obtuse angles have measures greater than 90°.
Answer:
Yes it is. All obtuse angles have measures greater than 90.
Step-by-step explanation:
Reasoning It has to be Higher then 90 degrees to be called obtuse. This rule applys for all.
Please help me!!! ASAP!
Which table represents a linear function?
A. X. Y
2. -46
4. -18
6. 58
B. X. Y
2. -2
4. 4
6. 14
C. X. Y
2. 11
4. 14
6. 17
D. X. Y
2. -6
4. 6
6. 26
Answer:
ans is C................
Jamel made $3.50 for taking 10 pounds of aluminum cans to a recycling plant. At that rate how much would Jamel make for 18 pounds of aluminum cans?
Answer:
Jamel would make $6.30 for 18 pounds of aluminum cans.
Step-by-step explanation:
Lets find the unit rate per pound:
3.50 ÷ 10 = 0.35
1 pound of aluminum cans = $0.35
To find how much it will cost to take 18 pounds of aluminum cans to a recycling plant, multiply the unit rate by 18 pounds:
0.35 x 18 = 6.3
Therefore, Jamal would make $6.30 for 18 pounds of aluminum cans.
Hope this helps
If two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00, how much does a box of cereal cost?
Answer:
$3
Step-by-step explanation:
Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.
Create a system of equations:
2c + m = 8.5
3c + 2m = 14
Solve by elimination by multiplying the top equation by -2:
-4c - 2m = -17
3c + 2m = 14
Add them together and solve for c:
-c = -3
c = 3
So, a box of cereal costs $3
A box of cereal cost $3 if two boxes and a jug of milk cost $8.50, and three boxes and two jugs of milk cost $14.00.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00
Let c stand for the price of a box of cereal and m for the price of a milk jug.
The obtained system of equations is as follows,
2c + m = 8.5
3c + 2m = 14
Multiply the top equation by -2 to reach the solution by elimination:
-4c - 2m = -17
3c + 2m = 14
Put them all together to find c:
-c = -3
c = 3
Thus, a box of cereal cost $3 if two boxes and a jug of milk cost $8.50, and three boxes and two jugs of milk cost $14.00.
Learn more about the equation here,
https://brainly.com/question/10413253
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Is 3a = 9 true or false when x is 3?
Solve for x. Round to the nearest tenth, if necessary.
Answer:
2.7
Step-by-step explanation:
you can do sin17 * 9.3, because sin = opp/hyp = x/9.3
use your calculator for sin17 and multiply it by 9.3
Translate the problem into a mathematical sentence, using was your variable
name. Do not use spaces in your answer.
Lisa bought 15 CDs in December. Of those, 3 were jazz, the rest were world
music. How many world music discs did she buy?
HELPPP
Answer:
12
Step-by-step explanation:
Total CD's Lisa bought = 15
Jazz music = 3
World music = x
Find x
Total CD's Lisa bought = Jazz music + World music
15 = 3 + x
Subtract 3 from both sides of the equation
15 - 3 = 3 + x - 3
12 = x
x = 12
Therefore,
World music = x = 12
What is the other solution to the equation (Algebra ll) *URGENT*
Given:
The equation is:
[tex]3-2|0.5x+1.5|=2[/tex]
One solution of this equation is -2.
To find:
The another solution of the given equation.
Solution:
We have,
[tex]3-2|0.5x+1.5|=2[/tex]
It can be written as:
[tex]-2|0.5x+1.5|=2-3[/tex]
[tex]-2|0.5x+1.5|=-1[/tex]
Divide both sides by -2.
[tex]|0.5x+1.5|=0.5[/tex]
After removing the modulus, we get
[tex]0.5x+1.5=\pm 0.5[/tex]
Case I:
[tex]0.5x+1.5=0.5[/tex]
[tex]0.5x=0.5-1.5[/tex]
[tex]0.5x=-1[/tex]
Divide both sides by 0.5.
[tex]x=-2[/tex]
Case II:
[tex]0.5x+1.5=-0.5[/tex]
[tex]0.5x=-0.5-1.5[/tex]
[tex]0.5x=-2[/tex]
Divide both sides by 0.5.
[tex]x=-4[/tex]
One solution of the given equation is [tex]x=-2[/tex] and the another one is [tex]x=-4[/tex].
Therefore, the correct option is B.
A tailor had 5000 buttons.He sawed 9 buttons on each shirt and had 2048 buttons left.Then,he sold all shirts at $36 each.find the total amount collected by the tailor?
Answer: $11,808
Step-by-step explanation:
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made, the total amount can be calculated as $36 · 328 = $11,808
(I hope this is right :\)
The total amount collected by the tailor $11,808.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
A tailor had 5000 buttons.
He sawed 9 buttons on each shirt and had 2048 buttons left.
Then, he sold all shirts at $36 each.
now,
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made,
the total amount can be calculated as $36 · 328
= $11,808
Hence, the total amount collected by the tailor $11,808.
To learn more on division click:
brainly.com/question/21416852
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Write a pair of integers whose sum gives: a) a negative integer
b) zero
c) an integer smaller than the both integers
Answer:
a) 4-5 = -1
b) -6+6 = 0
c) 6+(-4) = 2
Let u = <-7, -2>. Find 4u.
Answer:
<-28, -8>
Step-by-step explanation:
you multiply the values by 4 because that's what the question tells you to do.
if <-7,-2>=u and it's asking for 4u, then the answer is the solution to the equation 4(<-7,-2>)
Question 17 (5 points)
Determine the value of x in the isosceles trapezoid.
2x
х
x = 60°
x= 65°
x= 180°
*= 90°
Help me out please, thanks
Hello!
f(x) = x² + 12x <=>
<=> a = 1, b = 12 <=>
<=> x = -12/2×1 <=>
<=> x = -6 <=>
<=> f(-6) = -36 <=>
<=> (-6; -36)
Good luck! :)
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
39.30°
Step-by-step explanation:
In ∆ KLM :-
cos x = LK / KM cos x = 6.5/8.4 cos x = 65/84 x = cos -¹( 65/84)x = 39.30°Identify the equation of the line that is perpendicular to =12−7 and runs through point (4,−2). Group of answer choices
Answer:
12y+x = -20
Step-by-step explanation:
Question restructured
Identify the equation of the line that is perpendicular to y =12x−7 and runs through the point (4,−2).
The equation of a line in point-slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0,y0) is a point on the line
Given the equation y = 12x - 7
Slope = 12
Since the required line is perpendicular to this line, the slope of the required line will be;
m = -1/12
Get the required equation
y-(-2) = -1/12 (x - 4)
y+2= -1/12(x-4)
Cross multiply
12(y+2) = -(x-4)
12y+24 = -x+4
12y + x = 4-24
12y+x = -20
Hence the required equation is 12y+x = -20
NB: The equation of the line used in question was assumed