Prove whether or not f(x)= 5x - 4 and g(x)= x+4/5 are inverses using composition of functions (PLEASE HELP)
Answers
f(x)= 5x - 4 and g(x)= x+4/5 are inverses by composition of functions
To prove that two functions, f(x) = 5x - 4 and g(x) = (x + 4)/5, are inverses of each other, we need to show that their composition yields the identity function.
First, let's find the composition f(g(x)):
f(g(x)) = f((x + 4)/5)
= 5((x + 4)/5) - 4
= (x + 4) - 4
= x
Now, let's find the composition g(f(x)):
g(f(x)) = g(5x - 4)
= ((5x - 4) + 4)/5
= 5x/5
= x
Since both f(g(x)) and g(f(x)) simplify to x, we can conclude that f(x) = 5x - 4 and g(x) = (x + 4)/5 are indeed inverses of each other based on the composition of functions.
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It's urgent, Please answer, Make Sure you Round it
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
460, 451,442
Find the 37th term.
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Answer:
136
Step-by-step explanation:
This is an arithmetic sequence
The formula is an = a1 + f × (n-1)
n= the number we are trying to find = 37
a= the number in any given space on the sequence
a1= 460
f= the common difference between the numbers
f= -9 because you subtract 9 from each to get the number
a37= 460-9(37-1)
a37= 460-9(36)
a37= 460- 324
a37= 136
[tex] \\ [/tex]
The first three terms of a sequence are 460, 451, 442[tex] \\ [/tex]
To Find :[tex] \\ [/tex]
37th term of sequence = ?[tex] \\ [/tex]
Solution :[tex] \\ [/tex]
Clearly these three terms are making an arithmetic sequence, with :
First term, a = 460 Common difference, d = 451 - 460 = - 9[tex] \\ [/tex]
Now, we have to find 37th term of sequence = [tex] \tt a_{37}[/tex]
[tex] \\ [/tex]
Now, we know that :
[tex] \large \underline{\boxed{\bf{a_{n} = a + (n-1)d}}}[/tex]
[tex] \\ [/tex]
[tex] \tt : \implies a_{37} = a + (37-1)d[/tex]
[tex] \tt : \implies a_{37} = a + 36d[/tex]
[tex] \\ [/tex]
Now, by substituting values of a and d :
[tex] \tt : \implies a_{37} = 460 + 36 \times (-9)[/tex]
[tex] \tt : \implies a_{37} = 460 - 324[/tex]
[tex] \tt : \implies a_{37} = 136[/tex]
[tex] \\ [/tex]
Hence, value of 37th term of given sequence is 136.
What is the solution to the equation 1/3 n =6
Answers
Answer:
n=18
Step-by-step explanation:
HELPPP!!!! 50 points
Answers
Answer:
5. 26
6. 11
7. 5, 3, 9, 5 (left to right)
Step-by-step explanation:
5. Plug in the numbers
6. 2x+9=31, 2x=22, x=11
7. Plug numbers in
Hope this helps and please give me Brainliest!
Answer:
5. 26
6. 11
7. 5, 3, 9, 5 (left to right)
Step-by-step explanation:
5. Plug in the numbers
6. 2x+9=31, 2x=22, x=11
7. Plug numbers in
Step-by-step explanation:
M is the midpoint of AB. If A ( 4,0) and M (2, 1.5), then find the coordinates of B
Answers
Answer:
Step-by-step explanation:
(4 + x)/2 = 2
4 + x = 4
x = 0
(x + 0)/2 = 1.5
x + 0 = 3
x = 3
(0, 3)
answer is C
y=7x+8 can somebody help me
Answers
Solve for x.
5/7x + 1/7= 63
Answers
Answer:
x=88
Step-by-step explanation:
Answer: x=88
Step-by-step explanation:
Mrs. Brownstone brought 56 liters of juice for the fifth grade party. How many milliliters of juice did she bring?
Answers
Answer:
56000 milliliters
1 liter = 1000 milliliters
56(1000)=56000
Step-by-step explanation:
Anybody good in geometry?
Answers
Answer:
A) <6, 2>
Step-by-step explanation:
Moves along x-axis to the right six units. Moves along y-axis upward two units.
Answer:
which vector translated the triangle to its image?
A. < 6 , 2 >
Work out, giving your answer in its simplest form:
4/7 divided by 2 1/3
Answers
Answer:
12/49
Step-by-step explanation:
First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3
when doing division of fraction you have to remember this, KFG
KFG: Keep Flip Change
you keep the first number or fraction, which is 4/7
then you flip the sign, so you change division in to multiplication
after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7
Now the equation is
4/7 times 3/7, which is 12/49
Please help! Thank tou
Answers
Answer:
220mL
780mL
600mL
480mL
Step-by-step explanation:
500-280=220
500+280=780
280/8=35, so 35 mL is in one L, 35x5=175
875-175=600
750-280=480
Answer:
Step-by-step explanation:
I need help with this
Answers
Answer:
3.5
Step-by-step explanation:
the median is the dotted lines.
median of girls height: 65.5
median of boys height: 69
69-65.5=3.5
Pls help me with this problem
Answers
Answer:
A is going to be 2.80
B is going to be 0.7
C points (1,0.70)
D he is buying four pounds of flour because you always put the x at the bottom and y at the top
E it will be 6.3
Step-by-step explanation:
Hope this Helped
AnswerA is going to be 2.80
B is going to be 0.7 this is all I know
Step-by-step explanation:
If the triangle are similar, write a similarity
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation
Answers
Answer:
The triangles are similar due to AAA
Step-by-step explanation:
'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.
Then the triangles are similar due to AAA
anlatarak cozmicekseniz cevaplamayin:)
Answers
What is the measurement of angle D
HELP PLS
Answers
9514 1404 393
Answer:
68°
Step-by-step explanation:
Alternate interior angles are congruent, so we have ...
123° = d° +55°
d = 123 -55 = 68
Angle D measures 68°.
_____
For those of you inclined to use this answer for other questions, here are the other angles in this figure.
A = 55° . . . . alternate interior with 55°, so congruent
B = C = 180° -123°
B = C = 57°
URGENT!!!!!!
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.1 inch ≈ 1.578 × 10 -5 miles.
Answers
Answer: The number of inches in 1225 miles is [tex]7.763\times 10^7[/tex]
Step-by-step explanation:
Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.
Example: 3000 is written as [tex]3.0\times 10^3[/tex]
Given : [tex]1.578\times 10^{-5}[/tex] miles = 1 inch
Thus 1 mile = [tex]\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5[/tex] inches
1225 miles = [tex]\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7[/tex] inches
Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system?
No solutions
Infinite solutions
(32)
(9,2)
Answers
Area of a room is 500m square. The cupboard takes 6% of the room’s area
a:what is the area of the cupboard
b:The table is 1/10 of the room. Calculate the area of the table.
c: bed has an area of 110m square. What is the percentage of the room is the bed?
Answers
Step-by-step explanation:
step 1. 500(.06) = 30m^2 (area of cupboard)
step 2. 500(1/10) = 50m^2 (area of table)
step 3. 110/500 = .22 = 22% (percentage of the bed area in the room).
Write a polynomial in standard form that represents the area of the shaded region.
Answers
Answer:
Area of the smaller square is x * x, which is x^2
Area of the larger square is (x + 7)(x + 7), which is x^2 + 14x + 49
The area of the shaded area = Area of the larger square - Area of the smaller square
Area of the shaded region = x^2 + 14x + 49 - x^2
Area of the shaded region is 14x + 49.
perrys bikes rents bikes for $18 plus $4 per hour. Lea paid $42 to rent a bike for how many hours did she rent the bike?
Answers
Answer:
5 hours 30 min
Step-by-step explanation:
Is 3x-22=-3x+8 no solution?
Answers
It has one solution which is X=5
Hope this helps
Have a great day/night
Feel free to ask any questions
write the following decimals in the form of p\ q= 0 and p,q are con-primes 1) 15.265
Answers
Given:
The decimal number is 15.265.
To find:
The decimals in the form of [tex]\dfrac{p}{q}[/tex] and p,q are co-primes.
Solution:
Let the decimal number be [tex]x=15.265[/tex].
It can be rewritten as
[tex]x=15.265\times \dfrac{1000}{1000}[/tex]
[tex]x=\dfrac{15265}{1000}[/tex]
[tex]x=\dfrac{5\times 3053}{5\times 200}[/tex]
Cancel out the common factors.
[tex]x=\dfrac{3053}{200}[/tex]
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Therefore, the requited fraction form is [tex]\dfrac{3053}{200}[/tex].
-12x = 3(y - 3)
y = ___
Answers
A a. AAnswer:
kid thanks
Step-by-step explanation: kk k k
write a active sentence then rewrite it as a passive
Answers
Hey there!
The answer is, for active, "Carla drove Emily to the theater," and, for passive, "Emily was driven to the theater by Carla."
Have a nice day :)
Lucas and Mitchell were asked to add the numbers 3.54 and 12.09.
Lucas stated that he completed the addition problem by using the following method:
First, I broke the numbers apart. I broke 3.54 into 3.00+0.50+0.04 and 12.09 into 12.00+0.09.
Then, I combined 0.04 and 0.09 to get 0.13.
Next, I combined 0.13 and 0.50 to get 0.63.
Then, I combined 3.00+12.00 to get 15.00.
Finally, I added the decimal to get 15.63.
Mitchell stated that he completed the addition problem by using the following method:
First, I added the whole numbers to get 3.00+12.00=15.00.
Next, I added the numbers in the tenths place, 0.50+0.00=0.50.
Then, I added the numbers in the hundredths place, 0.04+0.09=0.013.
I then added 0.50 and 0.013 to get 0.513.
Lastly, I added the decimal to the whole number to get 15.513.
Determine if Lucas and/or Mitchell had a flaw in their method. If they did, correct the flaw(s) so that both the methods used are correct. PLZ ANSWER THE QUESTION!
Answers
Answer:
0.22
Step-by-step explanation:
Somebody help me please
Answers
Answer:
The second one
Select the equivalent expression.
3-5 = ?
Answers
2. Pierre works full time and is paid an hourly rate of $12.50 for 35 hours a week. He is paid for 52
weeks of the year. What are his total earnings for ONE YEAR?
Answers
Answer:
$22,750
Step-by-step explanation:
First, find out how much Pierre is paid per week: $12.50 x 35 -> $437.5/week
Then, multiply to find how much he is paid the whole year: $437.5 x 52 -> $22,750
WHERE ARE THE BLACK DOTS LOCATED?!?
Answers
Answer:
The first one (on the bottom) is (2, -3)
The second one (the top one) is (-1, 3)
Answer:
(-1, 3) and (2, -3)
Step-by-step explanation:
The x-value always goes first and the second is always the y-value.
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Answers
Answer:
ectangles, rhombuses (also called rhombi) and squares are all more specific versions of parallelograms, also called special parallelograms. A quadrilateral is a rectangle if and only if it has four right (congruent) angles.
Step-by-step explanation:
i hope it's right