Answers
Answer:
g(f(x)) = x
Yes, the functions are inverses.
Step-by-step explanation:
Hi there!
We're given:
[tex]f(x) = 8x-7[/tex]
[tex]g(x)=\displaystyle\frac{x+7}{8}[/tex]
To solve for g(f(x)), plug f(x) into g(x) as x:
[tex]g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x[/tex]
Because g(f(x)) = x, the two functions are inverses.
I hope this helps!
Related Questions
CAN SOMEBODY HELP MEEEE I AM SO BAD AT MATH 5 to the power for 7 times 15 minus 8 minus 5
Answers
= 1171862
Answer:
[tex]1,171,862[/tex]
Step-by-step explanation:
Original equation: [tex]5^7 * 15-8-5[/tex]
Remember the PEMDAS rule --> in this case the exponents are first.
[tex]5^7[/tex]= 5*5*5*5*5*5*5 = 78,125
= [tex]78,125*15-8-5[/tex]
The next step to this problem is multiplication because you are starting from left to right and its after the exponents.
= [tex]1,171,875-8-5[/tex]
The last 2 steps is to subtract (from left to right)
= [tex]1,171,867-5[/tex]
= [tex]1,171,862[/tex]
Hope this helps!!!
1,200 plus what equals what??
Answers
Answer:
1,200+300=1,500
Step-by-step explanation:
Answer:
1,200+1,200=2,400
Step-by-step explanation:
(2x)/(x-1)
Find the derivative using quotient rule
Answers
Answer:
Step-by-step explanation:
see pic below for quotient rule
[tex]\frac{(2x)'(x-1)-(2x)(x-1)'}{(x-1)^2}=\frac{2(x-1)-2x}{(x-1)^2}=\frac{2x-2-2x}{(x-1)^2}=-\frac{2}{(x-1)^2}[/tex]
I NEED HELP PLEASE!!!!
Answers
Answer:
the answer is x=15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
since angles 84 and 5x + 9 are alternate interior angles they both are equal
i.e
5x +9 = 84
5x = 84 -9
5x = 75
x = 75/5
therefore x = 15
keep smiling
Question 1.
Write 803,000,000 in scientific notation.
Answer:
Question 2.
Write 0.0000000068 in scientific notation.
Answer:
Question 3.
Write 1.359 × 105 in standard form.
Answer:
Question 4.
The radius of a hydrogen atom is 0.000000000025 meter. How would you express this radius in scientific notation?
L
Answers
Answer:
1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 803,000,000New Number: 8.03000000Step 2
Now, to find b, count how many places to the right of the decimal.
New Number:8.03000000Decimal Count:12345678
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.03 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
8.03 x 108
Step 4
Check your work:
108 = 100,000,000 x 8.03 = 803,000,000
(Factorials)
Solve 5!
_help please_
Answers
Answer:
5*4*3*2*1= 120
you multiply each number to it's previous one till you reach 1
How to draw 0.15+0.36 using a quick picture
Answers
Answer:
heres my photo + answer
Step-by-step explanation:
0.15
+ 0.36
____
0.36
+——
0.51
There we go :)
Can some one help me out and let me know what this is
Answers
You must divide by the coefficient (a number before a variable)
Hope this helps you! :)
~Just a joyful teen
[tex]GraceRosalia :)[/tex]
What is the slope of a line that is parallel to the given line
Answers
the slope of the parallel line would also be: -3/2
Hope this helps!!
Answer:
The slope of the parallel line is -3/2
Step-by-step explanation:
Calculate the slope using rise over run then simplify.
-6/4 , -3/2
Some people advise that in every cold weather, you should keep the gas tank of your car more than half full. Irene’s car had 5.8 gallons in the 13- gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.70 per gallon. How much did Irene spend on gas?
Answers
Answer:
$27.72
Step-by-step explanation:
The information that we have its
The cost gas its $3.60 per gallon
Irene's car had 5.3 gallons
Irene's car tank is 13 gallons
so now for the know, How much did Irene spend on gas?
First
The gas that its necessary for filled de tank its
13gallons-5.3gallons=7.7 gallons
The cost for 7.7 its
7.7g*$3.60/g= $27.72
what is the length of the diagonal of a rectangle with width 3,5 cm and length 4,5 cm give your answer in simplest surd form
Answers
Answer:
Step-by-step explanation:
By Pythagoras:
d^2 = (3.5)^2 + (4.5)^2
d^2 = 12.25 + 20.25 = 32.5
d = √32.5
Caitlin earned $5 for each baby hat she knitted. SHe wanted to make at least $50 before spring break. Which equation best represents this situation?
a. 5x>50
b. 5x<50
c. 5x>_50
d. 5x<_50
Answers
Answer:
c. 5x>_50
Step-by-step explanation:
Each hat earns her $5.
x number of hats will earn her 5x.
At least $50 means $50 or more, so it means the same as greater than of equal to 50.
5x >_ 50
Use the graph to estimate the value of y when x=2.5
Answers
Answer:
I'm guessing: The value of y is 6.5
Step-by-step explanation:
Mark 2.5 on the x-axis between 2 and 3, then draw a line to meet the graph.
Or use the table , y=3x-1
y=3(2.5)-1
y=7.5-1
y=6.5
please mark BRAINLIEST...
plz help asap
You have used the Distributive Property to transform numerical expressions such as (5)(3) + (2)(3) to (5 + 2)(3). How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1. What do you notice about the values of the expressions? Is there any value that would make the two expressions equal? Why or why not?
Answers
Answer:
5x + 2x result values are 1 more then 7x - 1 result values
there are no values that will make the 2 expressions equal....
because 5x + 2x = 7x......and the other one is 7x - 1......so the 7x - 1 values will always be 1 number less...because ur subtracting one
Step-by-step explanation:
5x + 2x.....combine like terms..... = 7x
5x + 2x....subbing in 1 7x - 1....subbing in 1
5(1) + 2(1) = 5 + 2 = 7 7(1) - 1 = 7 - 1 = 6
5x + 2x...subbing in 2 7x - 1...subbing in 2
5(2) + 2(2) = 10 + 4 = 14 7(2) - 1 = 14 - 1 = 13
5x + 2x...subbing in 3 7x - 1...subbing in 3
5(3) + 2(3) = 15 + 6 = 21 7(3) - 1 = 21 - 1 = 20
5x + 2x...subbing in 4 7x - 1....subbing in 4
5(4) + 2(4) = 20 + 8 = 28 7(4) - 1 = 28 - 1 = 27
5x + 2x...subbing in 5 7x - 1...subbing in 5
5(5) + 2(5) = 25 + 10 = 35 7(5) - 1 = 35 - 1 = 34
Answer:
5x+2x= 7x....
Step-by-step explanation:
There is no value that would make them equal. If u subsitute x by 1, 2, 3 you get 7, 14, 21. When u substitute for 7x-1, all the values are 1 less than 7, 14, 21.
answer in comments pls!
Answers
Answer:
a)
2x/3 = 8. First, multiply both sides by 3 to make 2x = 24. Then, divide both sides by 2: x = 12.
b)
3x/2 = 6. First, multiply both sides by 2 to make 3x = 12. Then, divide both sides by 3: x = 4.
Hope this helps!
Answer:
A.) x = 12
B.) x = 4
Step-by-step explanation:
A.) 2x/3 = 8
First let’s multiply both sides by three to get rid of our division equation,
2x/3 = 8
*3 *3
2x = 24
Now we divide both sides by 2 to single out our variable,
2x = 24
/2 /2
X=12
Let’s check our answer just to be sure this is correct, we do this by plugging in “12” for our x
2(12)/3 = 8
24/3 = 8
8 = 8
Now we know that x = 12 is true,
B.)3x/2 = 6
Again well will multiply both sides by 2 to remove our division equation,
3x/2 = 6
*2 *2
3x = 12
We divide both sides by 3 to remove our coefficient in front of the variable,
3x = 12
/3 /3
x=4
Let’s check our answer once again,
3x/2 = 6
3(4)/2 = 6
12/2 = 6
6 = 6
X = 4 is true
Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.
A. 528 55 mm
B. 628 55 mm
C. 720 55 mm
D. 860 55 mm
Answers
860.55 mm
Explanation:
The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):
S= 6*b*(a+h)
where b = is the side of the base, a is the apothem length, and h = the height
S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm
Could have also have used another formula without the apothem:
S =3 * √3 * b² + 6 * b * h
S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55 + 528 = 860.55 sq mm
1........... 5x (3x +2)
2..........(-7ab)(2a^2bc) (4bc^2)
3.............3x^2(X-5)-X(X^2+3X)
4............5x^2 +4y^2-(2x^2+6y^2)
Answers
You do 3832083082x 32u393829832983x to get this 5,418
(x-3)(x+3)(x+2)-(x-1)(x²-3)-5x(x+4)²-(x-5)²
Answers
Answer:
-5x^3-38x^2-76x-46=0
There were 5 Easter eggs hidden at a party. Kenny found 4 of them. What percent of the eggs did Kenny find ?
Answers
Answer:
Kenny found 80% of the eggs.
Step-by-step explanation:
(4 ÷ 5) × 100 = x
0.8 × 100 = x
80% = x
Kenny found 80% of the eggs.
(3)
(2)
2 m
5 m
2 m
5 m
Perimeter:
Area:
Answers
Step-by-step explanation:
The area = (5 × 3) + (2 × 3) = 15 + 6 = 21
The perimeter = 2 + 3 + 5 + 5 + 3 + 2 = 20
please give me a brainliest answer
9. On election day, registered voters go to a polling place to cast their vote. a. In a town, 273,600 votes were cast in an election. 57% of those who were registered voted. How many registered voters are there in the town? b. Reese claims that if 60% of the registered voters cast 273,600 votes, there would be fewer registered voters than above. Is he correct? Why or why not?
Answers
B.) yes he is correct because 60%= 164,160 which is less than the amount of votes
What number is halfway between eight and nine
Answers
Example like (1, 1.5, 2, 2.5, 3, 3.5) etc
Is -92.41 an integer
Answers
Answer:
No
Step-by-step explanation:
Because it is a decimal, it can't be an integer. Integers are whole numbers and can be positive or negative.
Hope this helps!
guys pls help me!!!!!!!
Answers
Answer:
36°
Step-by-step explanation:
it's the same as the given number.
lines l, m, and n are parallel to each other and the same line is intersecting all three of them. since the 36° angle is in the same placement as the x° angle, they are the same.
have a lovely day <3
Help me with problem plz
Answers
Answer:
It is SAS (side - angle - side)
Step-by-step explanation:
Both BCA and DCE cross from side then the angle and lastly side.
describe rule for pattern 10, 30, 90, …
Answers
Answer:
it go by 20 then 30
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Each term is 3 times the previous term, that is
30 = 10 × 3 = 30
90 = 30 × 3 = 90
There is a common ratio between consecutive terms meaning the sequence is geometric.
This rectangular prism was built with cubes that each have a volume of one cubic centimeter.
What is the volume of the rectangular prism?
Answers
Answer:
The volume of this rectangular prism is 60.
Step-by-step explanation:
V = L*W*H
( For a rectangular prism )
4 * 5 * 3
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Help me please
Increase 55 by 137%
Answers
Answer:
75.35
Step-by-step explanation:
55 (1.37) = 75.35
alr so imma need this answer rn
Answers
The answer should be:
x = 5
So the answer is basically 5
The two-way frequency table below shows the number of students in a class whose top scores on a standardized test were on the reading, writing, and mathematics sections. Which of these statements is true based on the table?
A.Seventh-grade students tend to do better on the writing section compared to the mathematics and reading sections.
B.Seventh-grade students tend to do better on the mathematics section compared to the reading and writing sections
С.Eighth-grade students tend to do better on the writing section compared to the mathematics and reading sections
D. Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.
Answers
Answer:
D
Step-by-step explanation:
Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.
Bc math is 5 when writing is 3 and the reading is at 1 so math is better
Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections. Therefore, option D is the correct answer.
Given that, the two-way frequency table shows the number of students in a class whose top scores on a standardized test were on the reading, writing, and mathematics sections.
What is frequency table?A frequency table lists a set of values and how often each one appears. Frequency is the number of times a specific data value occurs in your dataset. These tables help you understand which data values are common and which are rare.
By interpreting the given data table we get
Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.
Therefore, option D is the correct answer.
To learn more about the frequency table visit:
https://brainly.com/question/12576014.
#SPJ5