We study if the composition of both functions equals the identity ("x") that is if f(g(x)=x
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The composition of the two functions should render 'x" if one is the inverse of the other. That is, we need to find what f(g(x)) renders. Notice as well that the same verification could be done by examining g(f(x) .
Let's work with f(g(x).
[tex]f(g(x)=f(\dfrac{1}{5}+5)\\\\f(g(x)=5(\dfrac{1}{5}x+5)-25\\\\f(g(x)=x+25-25\\\\f(g(x)=x[/tex]
So we see that the composition of both functions indeed renders "x", and that way we have verified that one is the inverse of the other.
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The quotient of 8.4 times 10 Superscript 9 and a number n results in 5.6 times 10 Superscript 27. What is the value of n?
1.5 times 10 Superscript negative 18
1.5 times 10 Superscript negative 3
1.5 times 10 Superscript 3
1.5 times 10 Superscript 18
The value of the number n as described in the task content which involves quotient is; 1.5 times 10 Superscript negative 18.
What is the value of n?It follows from the task content interpretation that;
(8.4*10^9)/n = (5.6*10^27)On this note, it follows that;
n = (8.4*10^9)/(5.6*10^27)On this note, upon division, the value of n is;
n = 1.5 times 10 Superscript negative 18Read more on quotients;
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Answer:
It's A
Step-by-step explanation:
I need help asap please help
Answer:
x=23 degrees
Step-by-step explanation:
(the box in the corner is 90 degrees)
180 the 3 sides on the triangle add up to be 180
180=90+66+x step1: combine like terms:add 90+66 together
180=156+x step2: -156 on both sides
23=x
x=23
help! which expression is equivalent to 14x + 35 - 21 y
Answer:
7(2x + 5 - 3y)
Step-by-step explanation:
Looking at the Factors below the question, what do you notice?
I notice that 14, 35 and 21 all have a GCF of 7
With this, we can now start factoring, but before we start, keep in mind that we need to find terms that when multiplied with 7 give us 14x, 35, and -21y.
Be careful with the signs ( + and -) when factoring!14x + 35 - 21y
7(2x + 5 - 3y)
Check you answer to make sure if results in our original expression:
7(2x + 5 - 3y) <== distribute seven
7(2x) + 7(5) + 7(-3y)
14x + 35 - 21y
Therefore, we have correctly factored the expression, and the correct answer is 7(2x + 5 - 3y)
Hope this helps!
A wheel has a diameter of 28 inches. What is the approximate distance around the outside of the wheel? Use 3. 14 for pi
Answer:
87.92
In this case we're trying to find circumference
Formula: c = pi×d
The problem says to use 3.14 for pi
c = 3.14 × 28 = 87.92
Find the sum of the angle measures in a 10-sided polygon
Answer:
sum of interior angles is 1440
Step-by-step explanation:
sum=(n-2)180
=(10-2)180
=8*180=1440
Jacks bedroom is 14 feet long and 11 feet wide. Annies bedroom is square, with each side measuring 12 feet. Which statement is true?
A. Annie's bedroom is 10 square feet longer than Jack's bedroom
B. Jack's bedroom is 2 square feet longer than Annie's bedroom
C. Annie's bedroom is 2 square feet longer than Jacks bedroom
D. Jack's bedroom is 10 square feet longer than Annie's bedroom
Answer:
i guess its A.
Step-by-step explanation:
I dont really know
A bicycle wheel travels 321 in for each revolution. What is the radius of the wheel
Answer:
51.1 ≈ r
Step-by-step explanation:
"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.
C = 2· π· r
What is the radius of the wheel ?
321 = 2· π· r, divide both sides of the equation by 2 π
(321/2·π) = r , use calculator, solve and round the answer
51.1 ≈ r
Which numbers do I need to multiply to find 8 times 56?
Step-by-step explanation:
Do you mean 8 times what is 56?
8×7 is 56
PLEASE PLEASE HELP ME PLEASE
Answer:
you
because if your friend made a 3.3 then you make a 7 then that means your more consistant
Step-by-step explanation:
hope this helped
When one variable precedes the other in time and the correlation between them is high, which statement can be made with confidence?
A) The variable that comes earliest in time causes the other variable
B) There is a high level of association between the two variables
C)The two variables have an association with an outcome variable
D)There are no extraneous variables at work in the situation
Using correlation coefficients, it is found that the correct option is given by:
B) There is a high level of association between the two variables.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.In this problem, it is said that the correlation between them is high, that is, strong, hence there is a high level of association, which means that option B is correct.
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The volume of a right cylinder is 108π and its height is 12.
What is the length of the cylinder's radius?
Answer:
volume of a cylinder = π r^2 *h
108π=π*r^2*h
108=r^2*h
12=r^2
3.464=r
radius =3.464
Step-by-step explanation:
Brainliest would be appreciated
Ask for questions!
Answer:
The length of the cylinder's radius is 3
Step-by-step explanation:
A cylinders radius is found by the formula, r= √ v/πh
So, 108π/πh.
Because there is pi in both the numerator and denominator, we can cancel them out. This leaves the equation to be : r = √ 108/12.
r = √ 108/12
108/12 is 9.
r = √9
r = 3
340 to the nearest 100
Answer:
300
Step-by-step explanation:
The quantity z varies directly with w and inversely with x. When w = 12 and x = 4, z = -42. Find z when w = 11 and x = 7.
PLEASE HELP ME!!!!!!!
Given the joint variation and the constant of variation, the value of z when w = 11 and x = 7 is -22
How to solve variation?z =( k × w) / x
where,
z = -42 w = 12x = 4k = constant of variation-42 = (k × 12) / 4
cross product
4 × -42 = 12k
-168 = 12k
k = -168 /12
k = -14
Find z when w = 11 and x = 7z =( k × w) / x
z = (-14 × 11) / 7
= -154 / 7
z = -22
Therefore, the value of z when w = 11 and x = 7 is -22
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enter the value of c when the expression 21.2x+c is equivalent to 5.3(4x-2.6). PLEASE GIVE ME AN EXPLANATION AS WELL. I DON’T WANT JUST AN ANSWER.
it takes lisa 2/3 of an hour to to walk from her home to her college at a rate of 6km/h
How far apart are her home and college?
i doont understand??
please help me, thank you if you do
Step-by-step explanation:
q1) if aₙ=-11+7n, then for n=5
a₅=-11+7*5=24.
q2) if aₙ=65-100n, then for n=39
a₃₉=65-100*39= -3835.
Hi, I think the domain is 5 am I right?
what is the distance formula?
Answer:
Distance formula. The formula for distance, if you know time (duration) and the average speed, is: d = v x t. where v is the velocity (average speed), t is the time and d is distance, so you can read it as Distance = Speed x Time. The result will depend on the unit of the speed metric, for example if speed is given in mph,
Step-by-step explanation:
A (m 1 ,n 1) and B (m 2 ,n 2) are the coordinates of the two given points in the coordinate plane.
The distance between the two points can be calculated using the distance formula, d = √ (m2 - m1)2 + (n2 - n1)2
Finally, express the given solution in proper units.
Which expression shows the factored form of 15x + 4
Answer:
Step-by-step explanation:
The only factor you can use is H. This doesn't factor into anything nice (like the common factor would be a decimal which is usually not allowed when doing this kind of question.
Answer: The question is the answer. 15x + 4 or H
102 chairs at 6 tables. Find the unit rate
A. 27 chairs/table
B. 7 chairs/table
C. 17 chairs/table
Answer:
C. 17 chairs per table
Step-by-step explanation:
102 (chairs) divided by 6 (tables) = 17 (chairs per table)
Answer:
C
Step-by-step explanation:
You could do 102 divided by 6
Which 102/6 would be 17. So that means there has to be 17 chairs per table
WHOEVER RESPONDS FIRST WILL BE MARKED BEST
A bag contains 4 green marbles, 4 red marbles, and 4 blue marbles. You pick a marble without looking. Find the probability of NOT drawing a red marble
Answer:
2 out of 3
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The following are the temperatures in °C for the first 10 days in January:
3.8
,
8.7
,
−
1.5
,
−
8.8
,
0.8
,
−
9.4
,
−
9.2
,
−
5.4
,
−
0.3
,
9.7
Calculate the range.
Give your answer as a decimal.
Answer:
the range is 9.4
Step-by-step explanation:
the range is the highest minus the lowest temperature
range=9.7-0.3
=9.4
hope this helps
Drag the tiles to the correct boxes to complete the pairs.
Match the questions with their answers.
Divide the volume of the larger cube by the volume of the smaller cube.
1. (3/7 x 3/7 x 1/7) / (1/7)^3 = 9
Answer: 9
2. (2/6)^3 / (1/6)^2 = 8
Answer: 8
3. (1/3 x 2/3 x 2/3) / (1/6)^3 = 32
Answer: 32
4. (3/7)^3 / (1/7)^3 = 27
Answer: 27
A football field is 120 yards long by 53yr wide. If a player runs diagonally from one corner to the opposite corner, how far will they travel
Answer:
They will travel about 131.18 yards.
Step-by-step explanation:
The ratio 125 : x is equivalent to the ratio x^2 : 125. What is the value of x?
Answer:
x = 25
Step-by-step explanation:
The proportion can be written using fractions and solved for x in the usual way.
[tex]\dfrac{125}{x}=\dfrac{x^2}{125}\\\\125^2=x^3\qquad\text{multiply by 125x}\\\\x=\sqrt[3]{125^2}=\sqrt[3]{5^6}=5^2\qquad\text{take the cube root}\\\\\boxed{x=25}[/tex]
HURRY PLEASE! I NEED HELP. PLEASE GIVE ME THE ANSWER
Use the table to describe the function.
A 2-column table with 6 rows. Column 1 is labeled x with entries negative 1,000, negative 0.1, negative 0.0001, 0.0001, 0.1, 1,000. Column 2 is labeled f (x) with entries negative 1.9999982, 1.78, 1.799998 times 10 Superscript 6 Baseline, 1.799998 times 10 Superscript 6 Baseline, 1.78, negative 1.9999982.
The end behavior of the function is that as
x →±∞, y approaches
.
The Limit of f (x) as x approaches infinity
.
The function has an asymptote at
.
Answer:
-2
-2
y=-2
Step-by-step explanation:
Answer:
-2
-2
y=-2
Step-by-step explanation:
What are the sources of a developing country's primary income?
A. Natural resources and primary product export
B. Human resource and primary product export
C. Human resource and manufactured product export
its lang allam ko. human is rescures till hitman
this is from a test that is 30 days overdue, ive triend asking friends and parents but they dont know :((( help pleasee
Answer:
LOL I ha te when that happens. I got you, I had the same issue
Step-by-step explanation:
Your answer is 44°
Your work
Type this:
27=98-x/2
54=98-x
x=44
Find the values that will make the equations true.
options:
a = 49
a = 27.5
a = 7
a = 24.5