The composition id_t f is equal to f, as it preserves the output of the function f for all elements in set s.
Given sets s and t, and a function f: s -> t, we need to prove that id_t f = f, where id_t is the identity function on set t. The identity function id_t(x) = x for all x ∈ t.
Consider any element x ∈ s. Since f is a function from s to t, f(x) ∈ t. Now, let's apply the composition of id_t and f, denoted as (id_t f)(x). By definition, (id_t f)(x) = id_t(f(x)).
Since f(x) ∈ t and id_t is the identity function on t, we have
id_t(f(x)) = f(x).
Therefore, (id_t f)(x) = f(x) for all x ∈ s.
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To prove that idt ◦f = f, we need to understand what each term means. "Function" is a mathematical concept that maps elements from one set to another. "Sets" are collections of objects. "idt" is the identity function, which maps every element of a set to itself.
To prove that idt ◦f = f, we need to show that they have the same mappings. This can be done by applying both functions to each element of set s and comparing the results. By definition of the identity function, we know that idt(x) = x for all x in set t. Therefore, idt ◦f(x) = f(x) for all x in set s. This shows that idt ◦f and f have the same mappings, and thus they are equal.Given that S and T are sets, and f is a function from S to T, denoted by f: S → T, we want to prove that id_T ◦ f = f, where id_T is the identity function on the set T.
Step 1: Define the identity function id_T: T → T. For any element x in T, id_T(x) = x.
Step 2: Recall the composition of functions. If g: T → U and f: S → T, then the composition g ◦ f: S → U is defined as (g ◦ f)(x) = g(f(x)) for all x in S.
Step 3: Prove id_T ◦ f = f. To show this, we need to verify that (id_T ◦ f)(x) = f(x) for all x in S.
For any x in S, (id_T ◦ f)(x) = id_T(f(x)) by definition of composition. Since id_T is the identity function on T and f(x) is an element of T, id_T(f(x)) = f(x). Thus, (id_T ◦ f)(x) = f(x) for all x in S, proving that id_T ◦ f = f.+
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2(2b+2cd)
(2+b) (2a+7)
Step-by-step explanation:
The answer to the first one is: 4cd+4b.
The answer to the second one is: 2ab+4a+7b+14
(I'm assuming that you want to simplify)
what are the different methods in finding the LCM
Answer:
4 methods are there
Step-by-step explanation:
Find the prime factorization of each number.Write each number as a product of primes, matching primes vertically when possible.Bring down the primes in each column.Multiply the factors to get the LCM.please mark me as brainlist
A population numbers 15,500 and grows at 3.75% per year. Write an exponential model for the growth of this population.
Answer: [tex]f(x)=15500(1.0375)^x[/tex]
Step-by-step explanation:
The exponential model for growth is given by :-
[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time (in years).
Given: A= 15,500 r= 3.75% = 0.0375
The exponential model for the growth of this population will be :
[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]
hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]
Choose all the ways the ratio of five girls to 9 boys can be written. the options are
9:5
9 to 5
5:9
5 to 9
5/9
9/5 i need helppp im so confused.
Answer:
5/9
5 to 9
5:9
hope this helps <3
Answer:
5/9,
5:9,
and 5 to 9
In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?
Answer:
Step-by-step explanation:
we will set up two equations:
let c be candy
let m be mints
3c+2m=10.80
c+3m=5.35, c=5.35-3m
3(5.35-3m)+2p=10.80
c=3.10
m=0.75
Let x be the cost of candy per pound and y be the cost of mint per pound.
[tex]\left \{ {{3x + 2y = 10.80} \atop {{x + 3y = 5.35}} \right.[/tex]
Rewrite the second equation for substitution:
x = 5.35 - 3y
Substitute the equation above into the first equation:
3(5.35 - 3y) + 2y = 10.80
16.05 - 9y + 2y = 10.80
-7y = -5.25
7y = 5.25
y = 0.75
∴ The price of mint per pound is $0.75.
Alfredo's bank charges an $8 service fee each month if his account goes below $500. In June, Alfredo had $510 in his account. He withdrew $25 and then did not have any transactions in his account for 6 months. a. Write as an integer the amount by which Alfredo's bank balance changed during the six months.
Answer:
$48
Step-by-step explanation:
Given that he is charged $8 service fee each month if his account goes below $500. If he has $510 and withdraws $25 the amount in account would be
= $510 - $25
= $485
This is below $500 hence he will be charged $8
Since he did not have any transactions in his account for 6 months, the change in his account as a result of the monthly charge
= 6 * $8
= $48
Hello
I have to write at least 20 words to say hi.
The price of a plain bowl plus the price
of
extra ingredients equals $
Answer:3,13
Step-by-step explanation:the price of the bowl is 10$ then you add 3 extra ingredients for a dollar each 10+3=13
Answer:
3,13
Step-by-step explanation:
9^6 * 9^3 =
Give the answer in exponent form
Step-by-step explanation:
1,983593e11
Answer:
9^18
Step-by-step explanation:
Since the bases are the same digit, all you have to do is multiply the exponents to get your answer
(3x +7x² + 2x + 3) + (x + 1)
Answer:
=7x2+6x+4
Step-by-step explanation:
3x+7x2+2x+3+x+1
Combine Like Terms:
=3x+7x2+2x+3+x+1
=(7x2)+(3x+2x+x)+(3+1)
=7x2+6x+4
Answer:
=7x2+6x+4
The moving of the orientation or position of an angle changes the measurement of the angle. True or false
Answer:
the correct answer is true
Answer:
I believe this is true!
Hope that helps!
how much is 28 yards in feet
Answer:
The correct answer is 84 feet.
Step-by-step explanation:
Each yard is 3 feet so then 3 times 28 equals 84.
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Brainliest????
Frank wants to eliminate the variable y from
the system below by adding.
(7x - y = 8
12x + 2y = 6
First, he will have to multiply one of the
equations by a number. Which step will enable
him to eliminate y by adding?
Multiply each term in 2x +2y=6 by 3.
Multiply each term in 7x - y = 8 by-3.
ОА
OB
Multiply each term in 2x + 2y = 6 by-3.
Multiply each term in 7x - y = 8 by 3
07:23
Answer:
84 x is your answer right answer right
3/4÷5 y multiplica el resultado por 4
Answer:
[tex]0.6[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} / 5 = 0.15[/tex]
[tex]0.15[/tex] x [tex]4[/tex] = [tex]0.6[/tex]
Hope I helped! Check out my profile for more answers!
¡Espero haber ayudado! ¡Mira mi perfil para obtener más respuestas!
Help me please :)....
Answer:
a = 6, b = 12, c = 18, d = 12
Step-by-step explanation:
When asked to write the prime factorization of 175, a student wrote 7 dotmath 25. Complete the explanation of the error and enter the correct answer.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
[tex]175=7\times 5\times 5[/tex]
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
A bowling ball travels along the lane at a constant rate. The ball travels ⅟₁₀ of the length of the lane in ¼ seconds. At that rate, how many seconds does it take the ball to travel the entire length of the lane?
Answer:
2 1/2 seconds
Step-by-step explanation:
10×1/4=10/4=21/2 seconds
Help Please is the answer zero? I’m not good with algebra
Answer:
should be 0 because it isnt increasing or decreasing
Can you write a 5 sentence summary about the substitution method?
Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
Step-by-step explanation:
A population of 30 sasquatch is released in a wildlife region. The population doubles each year for 4 years. What is the population after 4 years?
Answer:
480 sasquatch
Step-by-step explanation:
Year one: 30 x 2 = 60 sasquatch
Year two: 60 x 2 = 120 sasquatch
Year three: 120 x 2 = 240 sasquatch
Year four: 240 x 2 = 480 sasquatch
Answer:
480
Step-by-step explanation
can someone answer this for me please and thank you !!
Answer:
gfcdxgstez5xdyrfctugv-
_=+86545
Step-b57645745y-step explanation:
uygtf57d4ftv
Which function is a shrink of the exponential growth function shown on the graph?
A.f(x) = 2(3)x
B.f(x) = One-half(3)x
C.f(x) = 2(one-third) Superscript x
D.f(x) = One-half (one-third) Superscript x
Answer:
B
Step-by-step explanation:according to my calculations it’s b
The solution is, Option B. f(x) = One-half(3)x.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
from the given graph we get,
The function in the graph is an exponential growth function.
Therefore its equation is g(x)= 3^x
A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where
0<k<1
From the given options, we must have
k=1/2
This implies that:
f(x)= 1/2 * 3^x.
Hence, The solution is, Option B. f(x) = One-half(3)x.
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[tex]tan(0)=\frac{5\sqrt{20} }{11}[/tex]
Answer:
0.035°
Step-by-step explanation:
We need to find the value of [tex]\theta[/tex] for the given expression. So,
[tex]\tan\theta=\dfrac{5\sqrt{20}}{11}[/tex]
or
[tex]\theta=\tan^{-1}\tan\left(\frac{5\sqrt{20}}{11}\right)\\\\=-2.0083\ radian[/tex]
Or we can write as :
[tex]\theta=0.035^{\circ}[/tex]
So, the value of [tex]\theta[/tex] is equal to 0.035°.
126=i/6 what operation would I use and how would I solve it
Answer: Multiply 6 by 126 which gives 756
Step-by-step explanation: Picture it like a triangle. i is over six so it's going to by at the top of the triangle. This leaves one empty space where 126 goes. This method makes it easier for me when dealing with a question like this. The two numbers that multiply together will always go at the bottom while the numerator of the fraction (i in this case) will be at the top.
Answer: I=756
Step-by-step explanation: hope this help :D
Let's solve your equation step-by-step.
126=i/6
Step 1: Multiply both sides by 6.
126=i/6
(126)*(6)=(i/6)*(6)
756=i
Step 2: Flip the equation.
i=756
Answer:i=756
find the quotient. -105/15=
Answer:
-7
Step-by-step explanation:
Hope this helped! :)
Will mark brainliest for whoever answers correctly
Step-by-step explanation:
r = 3 √ 3V / 4π
is the correct answer of this question .
The range for the set of data represented by the following box-and-whisker plot is 8.
Answer:
TrueStep-by-step explanation:
The range is the difference between the lowest and the highest values of the set:
19 - 11 = 8The answer is TRUE
Answer:
true
Step-by-step explanation:
Write the ratio 1/4 km 2/3 km in the simplest form
Step-by-step explanation:
the ratio is given above
Step-by-step explanation:
the ratio is given above
Mason’s mom bought g games online. The games cost $12 each plus a $7 shipping fee.write an equation.
Answer:
f(x) = 12x + 7
Step-by-step explanation:
easy
Answer:
12g + 7 = total price
Step-by-step explanation:
The graph shows thar video sales at Bart's are nost often.
a- more than 400
b- less than 300
c- less than 100
d- more than 300
Answer:
The answer is b
Less than 300