Answer:
x.
Step-by-step explanation:
h(f(x) = x.
For example the inverse of f(x) = 2x is g(x) = x/2
f((gx)) 2 (x/2)
= 2x / 2
= x.
If h(x) is the inverse of f(x), then the value of h(f(x)) is:
x
Step-by-step explanation:Inverse of a function-
The inverse of a given function is a function which reverses the action of the other function.
Also, the composition of a function and it's inverse no matter in which order they are applied always gives us the identity function.
( Identity function-- Identity function is a function which when applied to some other function always retains that function )
i.e. If h(x) is the inverse of f(x) ; then we have:
[tex]h(f(x))=f(h(x))=x[/tex]
Can you explain to me what is 20% of 150, and how to get it?
Answer:
30
Step-by-step explanation:
20% = 20/100= 1/5
It is 1/5 of the number 150
Taking the problem what is 20% of 150
Is means equals and of means multiply
what is 20% of 150
W = 20% * 150
Change 20% to a decimal
W = .20 * 150
W = 30
Answer:
20% of 150 is 30
Step by Step Solution:
To find percentage of any number, we must change the percent to a decimal.
Step 1: Move the decimal place in 20% to the left by two place so that it ends up being .20
Step 2: Now that 20% is now .20, We simply 150 by .20
Conclusion: 20% of 150 is 30
Simplify this expression.
3w+7-5r+2-r
Answer:
[tex]\displaystyle 3w+9-6r[/tex]
Step-by-step explanation:
Distributive property: A(B+C)=AB+AC
Group like terms.
[tex]\displaystyle-5r-r+3w+7+2[/tex]
Add the numbers from left to right.
[tex]\displaystyle-5r-r=-6r[/tex]
[tex]\displaystyle -6r+3w+7+2[/tex]
Finally, add the numbers from left to right, to find the answer.
[tex]2+7=9[/tex]
[tex]\displaystyle 3w+9-6r[/tex], is the correct answer.
Hope this helps!
Answer:
3w - 6r +9
Step-by-step explanation:
3w+7-5r+2-r
Combine like terms
3w -5r-r +7+2
3w - 6r +9
Let f(w) = 2w^3 - 5. What is f(4)?
Answer:
f(4) =123
Step-by-step explanation:
first your going to put in 4 for every w
then, think of PEMDAS.
after you solve your parenthesis, then exponents Multiply/devide Then, add/subtract.
2(4)^3 -5
2* 64 -5
128 - 5
123 = f(4)
Tom has 2 8-foot long boards he needs to cut pieces that are 15 inches long. How many 15 inch pieces can he cut from the two boards?
Answer:
Tom can cut 12 (15 inch pieces) from the two boards.
Step-by-step explanation:
We're first given foot measurements and we're asked to find the answer in inches. That means we must convert 8 feet to inches, which is a 1:12 inches conversion. 8 times 12 will give you 96, so now you will multiply that value by 2 because Tom has 2 8-foot long boards. That will give you 192 inches. Since the question is asking for 'how many 15 inch pieces he can cut from the two boards?', you will need to divide 192 inches by 15 to find the answer. This will give you 12.8 boards. Because you can't have parts of an object, the answer will be 12 whole boards.
The quotient of 2 and the sum of a number and 1.
Answer:
2 / (x + 1).
Step-by-step explanation:
If the number is represented by x the expression is:
2 / (x + 1).
Answer:
2 / (x + 1).
Step-by-step explanation:
If the quotient of 2 and the sum of a number and 1 is 2 / (x + 1).
What is the midpoint of (-1,5) (5,5)
To find the midpoint, add the two X values and divide by 2 and add the two Y values and divide by 2.
-1 + 5 = 4/2 = 2
5 +5 = 10 /2 = 5
Midpoint = (2,5)
Answer:
(2,5)
Step-by-step explanation:
The points are on the same y, which is 5, so we only have to find the distance between the x values.
Distance formula = [tex]M = \frac{x_{1} + x_{2} }{2}[/tex]
[tex]M = \frac{-1 + 5}{2}[/tex]
Mid = \frac{4}{2} [tex]
Mid = 2
Help me... :/
Find the measure of each exterior angle of a regular 45-gon.
Answer:
7740° / 45
Step-by-step explanation:
The sum of the interior angles is given by this formula: (n - 2) * 180°. So a regular 45-gon would have interior angles that add up to: (45 - 2) * 180°. = 43 * 180°. = 7740°. Now divide that by the 45 angles to find the measure of one interior angle
hope that helped :(
The measure of each exterior angle of a regular 45-gon is calculated using the formula: Exterior Angle = 360° / Number of Sides. Hence, each exterior angle of a 45-gon measures 8°.
Explanation:In mathematics, the measure of each exterior angle of a regular polygon can be found using the formula: Exterior Angle = 360° / Number of Sides. So, to find the measure of an exterior angle in a 45-sided shape, or 45-gon, you would perform the calculation: 360° / 45 = 8°.
This indicates that each exterior angle of a regular 45-gon measures 8 degrees. This is a key concept to remember when working with regular polygons, as it can be used to determine other characteristics of the shape such as the sum of the exterior angles, which in any polygon is always 360°.
Learn more about Exterior Angles here:https://brainly.com/question/35707445
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Solve (x + 9)2 = 25
1. Apply the square root property of equality
2 Isolate the variable
Itx+95, then
If x +92 +5, then
Answer:
x = - 14, x = - 4
Step-by-step explanation:
Given
(x + 9)² = 25 ( take the square root of both sides )
x + 9 = ± [tex]\sqrt{25}[/tex] = ± 5
Subtract 9 from both sides
x = - 9 ± 5, that is
x = - 9 - 5 = - 14 or x = - 9 + 5 = - 4
Multiply these polynomials and simplify. Enter your response in standard form (-6y + 8y4 – 5)(y2 – 11y)
Answer: The required simplified answer in standard form is [tex]8y^6-88y^5-6y^3+61y^2+55y.[/tex]
Step-by-step explanation: We are given to multiply the following polynomials and write the answer is standard form :
[tex]M=(-6y+8y^4-5)(y^2-11y)~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To multiply the given polynomials, we need to multiply each term of one polynomial to each term of the other polynomial.
From (i), we have
[tex]M\\\\=(-6y+8y^4-5)(y^2-11y)\\\\=y^2(-6y+8y^4-5)-11y(-6y+8y^4-5)\\\\=-6y^3+8y^6-5y^2+66y^2-88y^5+55y\\\\=8y^6-88y^5-6y^3+61y^2+55y.[/tex]
Thus, the required simplified answer in standard form is [tex]8y^6-88y^5-6y^3+61y^2+55y.[/tex]
Answer: 8y^6- 88y^5- 6y^3 +61y^2 +55y
Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, how old is Marcus? Choose the answer below that is a viable solution to this problem. A. 10 B. 8 C. 5 D. 1
Answer:
(A) 10
Step-by-step explanation:
Let age of Marco's be "x" years
then according to question
Yolanda age will be "2x - 5"
Also in the question it is given that age Yolanda is 15 years.
then, 2x - 5 = 15
Adding 5 both sides of the equation, we will get
2x = 20
Dividing both sides of the equality by 2, we get
x = 10
therefore, Age of Marcus will be 10years
Option (A) is the correct option.
What is the perimeter of an equilateral triangle if each side is (x+3)? Write as a simplified expression
Answer:
3x + 9
Step-by-step explanation:
An equilateral triangle has all sides equal
Perimeter = 3 × (x + 3)
3x + 9
Put the following steps for calculating net worth in the correct order
Step-by-step explanation:
1.List your assets (what you own), estimate the value of each, and add up the total.
2.List your liabilities (what you owe) and add up the outstanding balances.
3.Subtract your liabilities from your assets to determine your personal net worth.
What is the domain of the function Y = In(x+2)?
044-2
Α
x -2
442
22
Answer:
x>-2
Step-by-step explanation:
I can't read or understand your choices... But you can only take log of positive numbers....
That is you need x+2 is to be positive.
That is as an inequality you need x+2>0
Solving x+2>0 gives you x>-2
If f(x) = 2x - 8 and g(x) = x4, what is (gºf)(5)?
Answer:
(g°f)x =16 when x = 5
Step-by-step explanation:
It might be easier to understand if you wrote this the other acceptable way.
g(x) = x^4
f(x) = 2x - 8
g(f(x)) means that in g(x) wherever you see and x you put f(x)
g(f(x)) = (f(x) ) ^ 4 Now put in the general value for f(x)
g(2x - 8) = (2x - 8)^4
You really don't want to expand this (although it would give you the right answer eventually).
g(2*5 - 8) = (2 * 5 - 8)^4
g(2*5 - 8) = (10 - 8)^4
g(2*5 - 8) = 2^4
Answer 16
Express ‘y’ in term of ‘x’ in the solution 5y-3x-10=0
Help me out here please
What is the value of a in the equation 3 a + b = 54, when b=9
To solve this plug in 9 for b and solve for a like so...
3a + 9 = 54
9 must be combined with 54. To do this you must subtract 9 from both sides. This will cancel out 9 from the left and bring it over to the right
3a + (9 - 9) = 54 - 9
3a + 0 = 45
3a = 45
Now we must isolate the a. To do this you have to divide 3 to both sides. This will make 3 on the left side 1 and bring 3 over to the other side
3a/3 = 45/3
1a = 15
a = 15
Hope this helped!
~Just a girl in love with Shawn Mendes
The algebra tiles represent the perfect square trinomial x2 + 10x + c.
What is the value of c?
Answer:
c=25
Step-by-step explanation:
x^2 + 10x+c
To find the value of c, take the coefficient of the x term, divide it by 2, then square it
10/2 =5
Then square it
5^2 =25
c=25
Given A = {(1, 3)(-1, 5)(6,4)}, B = {(2,0)(4, 6)(-4,5)(0, 0)) and C = {(1, 1)(0, 2)(0, 3)(0, 4)(-3,5)}, answer the following multiple
choice question:
From the list of sets A, B, and C, state the domain of set B.
Domain of set B: {0, 6,5}
Domain of set B: {2, 4,-4, 0}
Set B does not have a domain
Answer:
"Domain of set B: {2, 4,-4, 0}"
Step-by-step explanation:
When it the set A,B,C (and others) are given in this form it means that the coordinate pairs are the domain and range of each set, respectively.
The first coordinate is part of the domain (x) and the second coordinate is part of the range (y).
For example, the domain of A is all the numbers that are the first in each coordinate pair, so domain of A would be 1, -1, and 6.
Likewise, the domain of B would be 2, 4, -4, and 0.
Hence,
Domain of set B: {2, 4,-4, 0} -- is the correct answer.
Please help guys I don’t get it thank you so much to whoever answers :)
Lainey paid 30 cents (equivalent to $0.30) for each marker in the set.
To find the cost of 1 marker, you can divide the total cost by the number of markers.
Cost of 1 marker = Total cost / Number of markers
In this case, the total cost is $6, and the number of markers is 20.
Cost of 1 marker = $6/20
Simplifying the expression:
Cost of 1 marker=$0.30
Therefore, the cost of 1 marker is $0.30.
Think of the cost as being divided equally among all 20 markers. By dividing the total cost ($6) by the number of markers (20), we find the share of the cost for each marker ($0.30).
Question:
The parking rates @ the hospital's parking garage are 50 cents for the first hour and 25 cents for each additional hour. If juan parks in the garage for 8 hours, how much will the total charge for parking be?
Answer:
$2.25Step-by-step explanation:
[tex]n-number\ of\ hours\\\\\text{The equation of the function:}\\\\f(n)=0.25(n-1)+0.50\\\\\text{for n = 8:}\\\\f(8)=0.25(8-1)+0.50=0.25(7)+0.50=1.75+0.50=2.25[/tex]
A. Billy should choose 1/3 of 3/4; he’ll earn 1/15 more.
B. Billy should choose 1/3 of 3/4; he’ll earn 1/20 more.
Answer:ANS.B
Step-by-step explanation:1/3*3/4=3/12=.25 THE BETTER DEAL
3/12-2/10=30/120-24/120=6/120=1/20 ANS.B
what happens to the value of the expression b-1 as b increases
Answer:
It increases
Step-by-step explanation:
if b increases and the only other part of the equation is a constant it should increase as well. for example (the first value is b and the second is b-1) : (1,0) (2,1) (3,2) (4,3) (5,4)...
Answer:
The value increases
Step-by-step explanation:
Thinking process:
Let the expression be: b - 1
Let's say the value of b was 0, then the function will be: 0 - 1 = -1
Let the value of b be increased to 1, the expression will be 1 - 1 = 0
Let the value of b be increased to 2, the expression will be 2 - 1 = 1
Let the value of b be increased to 3, the expression will be 3 - 1 = 2
From the simulation, as the value of b increases, the net value becomes large.
Identify the inverse g(x) of the given relation f(x).
f(x) = {(8,3), (4, 1), (0, -1), (-4, -3)}
g(x) = {(-4, -3), (0, -1), (4, 1), (8,3)}
g(x) = {(-8, -3), (-4, 1), (0, 1), (4,3)}
g(x) = {(8, -3), (4, -1), (0.1), (-4,3)}
g(x) = {(3.8), (1,4),(-1,0), (-3,-4)}
Answer:
D
Step-by-step explanation:
Given (x, y) is a point on f(x), then the corresponding point on the inverse g(x) is (y, x)
Hence
(8, 3) → (3, 8)
(4, 1) → (1, 4)
(0, - 1) → (- 1, 0)
(- 4, - 3) → (- 3, - 4)
That is the last set of points represents g(x)
What is this can someone please help?
Answer:
x= 6
Step-by-step explanation:
You need to set up a proportion
12/8 = 9/x
Then you do Cross Product Property
8*9=72
12*x=12x
12x=72
divide 72 by 12
72/12=6
x=6
Answer:
A
Step-by-step explanation:
The ratios of corresponding sides are equal, that is
[tex]\frac{XZ}{DF}[/tex] = [tex]\frac{XY}{DE}[/tex], that is
[tex]\frac{12}{8}[/tex] = [tex]\frac{9}{x}[/tex] ( cross- multiply )
12x = 72 ( divide both sides by 12 )
x = 6
x = DE = 6 → A
Ush financial is examining the use of it midtown Atm machine. Here are the numbers of transactions made per day at this atm during the past 9days 53,21,46,33,9,46,8,10,8 find the range of the data set
Answer:
8 to 53;45
Step-by-step explanation:
This is because 8 is the smallest and 53 is the biggest and the difference of 53-8 = 45
(please give brainliest)
HELP ASAP
What is the circumference of the circle? Use 3.14 for PIE
A)51.81 cm
B)102.3 cm
C)103.62 cm
D)207.24 cm
Answer:
D
Step-by-step explanation:
Circumference of a circle:
[tex]\pi \times d[/tex]
and pie is 3.14
therefore
[tex]3.14 \times 33 = 103.62[/tex]
Tickets to the zoo cost four dollars for Children, five dollars for teenagers and six dollars for adults. In the high season, 1200 people came to the zoo every day. On a certain day, the total revenue at the zoo was $5300. For every three teenagers, eight children went to the zoo. How many teenagers went to the zoo.
Answer:
300 teenagers
Step-by-step explanation:
Let
x -----> the number of children
y ----> the number of teenagers
z ----> the number of adults
we know that
x+y+z=1,200 ----> equation A
4x+5y+6z=5,300 ---> equation B
y/x=3/8
y=(3/8)x ----> equation C
Substitute equation C in equation A and equation B and solve for x,z
x+y+z=1,200 ----> x+(3/8)x+z=1,200 ---> (11/8)x+z=1,200 -----> equation D
4x+5y+6z=5,300 --> 4x+5(3/8)x+6z=5,300 --> (47/8)x+6z=5,300 --> equation E
Solve the system of equations D and equation E by graphing
(11/8)x+z=1,200 -----> equation D
(47/8)x+6z=5,300 --> equation E
The solution is the intersection point both graphs
The intersection point is (800,100)
see the attached figure
therefore
x=800 children
z=100 adults
Find the value of y
y=(3/8)x ----> y=(3/8)800=300 teenagers
Solve: x + 2.5 = 1.5
Answer:
x = -1
Step-by-step explanation:
x + 2.5 = 1.5
- 2.5 -2.5
x = -1
Henry invested $4,300 in an account paying an interest rate of 3.6% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $6,730?
Answer:
12.67 years
Step-by-step explanation:
Follow below steps;
To find out how long it takes for the value of the account to reach $6,730:
Calculate the formula for compound interest: A = P(1 + r/n)^(nt)
Plug in the values: $6,730 = $4,300(1 + 0.036/4)^(4t)
Solve for time(t): approximately t = 10.35 years, which rounded to the nearest year is 10 years