Answers
Answer: They are inverses of each other.
Explanation:
f(x) = -x+5
f(g(x)) = -(g(x)) + 5
f(g(x)) = -(-x+5) + 5
f(g(x)) = x - 5 + 5
f(g(x)) = x
The steps to show that g(f(x)) = x are identical to what is shown above. This is because both f(x) and g(x) are the same.
Since f(g(x)) = x and g(f(x)) = x are true, this means the functions are inverses of each other.
Related Questions
A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 90 for homework, 95 for the quizzes, 85 for the midterm and 84 for the final exam. What will be the student’s class grade?
Class grade: ?
Answers
Answer:
86.55%
Step-by-step explanation:
Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:
90 × 0.20= 18
95 × 0.10= 9.5
85 × 0.25= 21.25
84 × 0.45= 37.8
Adding these numbers together, you could get 86.55, or 86.55%.
please help will brain list if correct no links please
Answers
Answer:
C
Step-by-step explanation:
the angle opposite of it is 30
Bruce walks 3/4 mile in 1/5 what is his spewd miles per hour
Answers
Answer: Bruce's speed is 3.75 mph(miles per hour).
What is 29−−√?
What 2 numbers does it fall between when placed on a number line?
Question 5 options:
Between 5 - 5.5
Between 4 - 4.5
Between 4.5 - 5
Between 5.5 - 6
Answers
Hope this helps.
32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900
people were surveyed.
Answers
Answer:
360 people
Step-by-step explanation:
[tex]\frac{ 210}{525}*900[/tex][tex]=360[/tex]
Hope this helped! :)
Please help me it’s due in 12 minutes also pls explain why
Answers
Solve each equation for x.
a(x-b)+bx+c=a+b
Answers
Answer:
[tex]x=\frac{ab+a+b-c}{a+b}[/tex]
Step-by-step explanation:
a(x−b)+bx+c=a+b
Step 1: Add ab to both sides.
−ab+ax+bx+c+ab=a+b+ab
ax+bx+c=ab+a+b
Step 2: Add -c to both sides.
ax+bx+c+−c=ab+a+b+−c
ax+bx=ab+a+b−c
Step 3: Factor out variable x.
x(a+b)=ab+a+b−c
Step 4: Divide both sides by a+b.
[tex]\frac{x(a+b)}{a+b} =\frac{ab+a+b-c}{a+b}[/tex]
[tex]x=\frac{ab+a+b-c}{a+b}[/tex]
Hope this helped! :)
Help help help help help m at h math math
Answers
Answer:X= 6X-14
Step-by-step explanation:
4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)
1.
Oliver owes his sister $27.
2.
A building is 38 feet tall.
3.
Erica jumped 2.7 feet above ground.
4.
The scuba diver was 38 feet below sea level.
5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7
Answers
Answer:
Below
Step-by-step explanation:
1.-d
2.-a
3.-e
4.-b
5.-c
Answer:
-8.3ithink so
Step-by-step explanation:
The original price of a Shirt was $45. In sales, the shirt is reduced to $32.50. Calculate the percentage reduction.
Answers
Answer:
27.8%
Step-by-step explanation:
[tex]\frac{32.5}{45} =0.722[/tex]
0.722 = 72.2%
The % reduction is:
(100-72.2)% = 27.8%
Hope this helps
help guys HURRY!!! plsss! :D
Answers
Answer:
B. x+240=425
Step-by-step explanation:
A number x is no less than 18
Answers
Answer:
x>18
Step-by-step explanation:
That's the answer if x can't be 18.
Answer:
x ≥ 18
Step-by-step explanation:
I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x, can be equal or more than 18
Mrs bai bought 4 boxes of handkerchief for $31.20. There were 12 handkerchief in the box. Find the cost of the 1 handkerchief
Answers
Answer:
0.65 cents
Step-by-step explanation:
12x4=48 total
31.20/48 = 0.65 cents each
In one serving of a fruit smoothie, the ratio of the number of ounces of water to the
number of ounces of fruit is 3 to 4.
Drag the numbers into the table to show how many ounces of water and fruit are
needed for different numbers of servings.
Answers
water:fruit
3:4
6:8
9:12
and such other multiples
The ratios of ounces of water and fruits for different servings are:
1 serving = 3/4
2 servings = 6/8
3 servings = 9/12
4 servings = 12/16
5 servings = 15/20
What is a ratio?A ratio is an ordered pair of numbers a and b.
It is written as:
a / b
where b does not equal 0.
A proportion is an equation in which two ratios are set equal to each other.
We have,
In one serving:
= 3/4
The ratio of ounces of water to the ounces of fruit is 3/4.
In every number of servings, the ratios must be in proportion so,
We have the following cases:
2 servings:
= 3x2 / 4x2
= 6/8
3 servings:
= 3x3 / 4x3
= 9/12
4 servings:
= 3x4 / 4x4
= 12/16
5 servings:
= 3x5 / 4x5
= 15 / 20
Thus the ratios of ounces of water and fruits for different servings are:
1 serving = 3/4
2 servings = 6/8
3 servings = 9/12
4 servings = 12/16
5 servings = 15/20
Learn more about ratios and proportions here:
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A straight line has the point (4, 2) and has the slope 1. What is its y intercept?
Answers
================================================
Work Shown:
m = 1 is the given slope
The point (x,y) = (4,2) is on the line
Use slope intercept form to find the y intercept
y = mx+b
2 = 1*4 + b
2 = 4 + b
2-4 = b
-2 = b
b = -2 is the y intercept
Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10.
Answers
Answer:
Step-by-step explanation:
That will be a square with a diagonal of 20
side length of 20sin45
and area of (20sin45)² = 200 units²
prove it you say?
Area of a rectangle is base times height
A = bh
With a radius of 10, the diagonals of any rectangle inscribed will be 20 units
20² = b² + h²
h = [tex]\sqrt{400 - b^2}[/tex]
A = bh
A = b[tex]\sqrt{400 - b^2}[/tex]
Area will be maximized when the derivative is set to zero
dA/db = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]
0 = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]
b²/[tex]\sqrt{400 - b^2}[/tex] = [tex]\sqrt{400 - b^2}[/tex]
b² = 400 - b²
2b² = 400
b² = 200
b = [tex]\sqrt{200}[/tex]
h = [tex]\sqrt{400 - b^2}[/tex]
h = [tex]\sqrt{400 - \sqrt{200}^2 }[/tex]
h = [tex]\sqrt{200}[/tex]
A = bh
A = [tex]\sqrt{200}[/tex]•[tex]\sqrt{200}[/tex]
A = 200 units²
What is (are) the x-value(s) that solve the system of equations y = x and y = 2x – 1?
Answers
Answer:
y=1 x=1
y = 2x – 1
replace y with x
x=2x-1
x-2x = - 1
-x = -1
x= 1
y=x =1
Given: -3x+y=1. Write the equation In general form Ax + By + C =0.
3x - y = -1
3x = y + 1 = 0
-3x + y -1=0
Answers
The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.
So,
Equation I = (3x + y = 1) and
Equation II = (6x + 2y = 2)
= { 2(3x + y) = 2}
= 3x + y = 2/2
= 3x + y = 1
So, The given equations are 3x + y = 1 and 3x + y = 1.
Thus, there is one equation in two variables.
So, the given equations have an infinite number of solutions.
Answer:
1st option; 3x-y=-1
Step-by-step explanation:
-3x + y = 1
we can divide through by -1 so that the 'x' value is positive:
3x - y = -1
19. Ram and Rahim are partners in a firm sharing profits in the ratio of 3: 2. Kabir is admitted as a partner for 1/5th share of profits. Machinery would be appreciated by 10% (Book Value of 80,000) and Building would be depreciated by 20% (Book Value of 2,00,000). Unrecorded Debtors of 1,250 would be brought to books. There is a liability of 2,750 included in Sundry Creditors that is not to be paid. What will be the Gain (Proñt Loss on revaluation? (a) Loss of 28,000. (c) Profit 28,000. (6) Loss 40,000. (d) Profit of 40,000.
Answers
Answer:
make me brainlist
Step-by-step explanation: firm sharing profits and losses in the ratio of 3
2. From Ist April, 2020 they decided to share the future profits equally. On this date, the General Reserve
showed a balance of 1,60,000; Revaluation of fixed assets resulted into a gain of "1,02,000 and stock resulted
to a loss of 22,000. On this date, the goodwill of the firm was valued at $3,60.000
Pas necessary journal entries for the above transactions on reconstitution of the form
Bolutions
If y = 6, what is the value of x given 8x + 5y = 62?
Answer:
Answers
The answer: y = 6 ⇔ x = 4
ok done. Thank to me :>
Admission to the zoo costs $15 per person. Which graph correctly represents the total cost for a group to visit the zoo? Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 30), (3, 45), (4, 60), (5, 75), (6, 90), and (7, 105). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 15), (3, 15), (4, 15), (5, 15), (6, 15), and (7, 15). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 16), (3, 17), (4, 18), (5, 19), (6, 20), and (7, 21). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (1, 30), (1, 45), (1, 60), (1, 75), (1, 90), (1, 105).
Answers
Admission to the zoo costs $15 per person.
The graph y = 15x correctly represents the total cost for a group to visit the zoo.
Given;
Admission to the zoo costs per person = $15
Let:
The total number of people visiting the zoo = x
The total cost for a group to visit the zoo = y
So, y ∝ x
y = 15x
Therefore, the graph y = 15x correctly represents the total cost for a group to visit the zoo.
Answer:
A
Step-by-step explanation:
Please look at picture for question
Answers
Answer:
a=0.62
b=7/9
c=10/9
Tamika ran 90 meters in 16.1 seconds. Enrique ran 90 meters in 17.0 seconds. Who had the fastest time, Tamika or Enrique? A. Enrique B. Tamika
Answers
clothing store sells t shirt in only three colors red blue green the colors are in the ratio of 3:4:5 if the store has a total of 60 how many blue t shirt
Answers
Answer:
Step-by-step explanation:
red/blue = 3/4 and you get blue/green = 4/5
= 60/4 = 15
you have 15 red shirts, 20 blue shirts, and 25 green shirts.
15/20 = 3/4
20/25 = 4/5
if you simplify 15/20, you will see that it is equivalent to 3/4
if you simplify 20/25, you will see that it is equivalent to 4/5.
A college is selling tickets to the annual battle of the bands
competition. On the first day of ticket sales, the college sold 3
student tickets and 5 adult tickets for a total of $70. On the
second day, the college sold 12 student tickets and 12 adults
tickets for a total of $216.
Use elimination to solve the system of linear equations and
determine the price of each student ticket, x, and each adult
ticket, y. Write your answer as an ordered pair (x,y).
Answers
Answer:
Step-by-step explanation:
Answer:
(10,8)
Step-by-step explanation:
Problem Situation: Ben buys a table for $240. He also buys 6 chairs that all cost the same amount. His total cost is $720. What is the price of one chair? Use the drop-down menus to complete parts A and B below.
Answers
The price of one chair Ben bought is $80 and he bought 6 chairs in total.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Ben buys a table for $240. He also buys 6 chairs that all cost the same amount.
Assuming each chair costs $x and his total cost is $720.
∴ 240 + 6x = 720.
6x = 720 - 240.
6x = 480.
x = 80
learn more about numerical expressions here :
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Identify the slope and y-intercept of the line 4x + 2y < 3.
Answers
Answer:
Step-by-step explanation:
4x+2y<3
y<-2x + [tex]\frac{3}{2}[/tex]
The number of gold fish that can live in a small tank is at most 6.
Let g be the number of goldfish that can live in the tank.
Which inequality represents this situation?
g<6 g≥6 g>6 g≤6
Answers
Answer:
g≤6
Step-by-step explanation:
g≤6 inequality represents the given situation of at most.
What is inequality?" Inequality means an algebraic expression which represents the relation between two situation or values with the sign of > , < , ≥, ≤."
Term used
At most means 'less than to equals to' ( ≤ )
According to the question,
Given'
'g' represents the number of gold fish live in the tank
As per condition of inequality given,
Number of gold fish can live in small tank at most 6
Represent as the term used we get,
Inequality is
g ≤ 6
Hence, g≤6 inequality represents the given situation of at most.
Learn more about inequality here
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solving for G
goal is to isolate the variable by undoing in the reverse of the order of operation.
4=2(3g+2)
Answers
Answer:
g = 0
Step-by-step explanation:
4 = 2(3g + 2) ← divide both sides by 2
2 = 3g + 2 ( subtract 2 from both sides )
0 = 3g , then
g = 0
Find the amount that results from a $900 investment invested at 7% interest,
compounded continuously, after 4 years.
