Answers
Answer:
See explanations below
Step-by-step explanation:
Given the functions
f(x) = 12x - 12
g(x) = x/12 - 1
To show they are inverses, we, must show that f(g(x)) = g(f(x))
f(g(x)) = f(x/12 - 1)
Replace x with x/12 - 1 into f(x)
f(g(x)) =12((x-12)/12) - 11
f(g(x)) = x-1 - 1
f(g(x)) =x - 2
Similarly for g(f(x))
g(f(x)) = g(12x-12)
g(f(x)) =(12x-12)/12 - 1
12(x-1)/12 - 1
x-1 - 1
x - 2
Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other
Related Questions
what is the measurement of
Answers
Answer:
B = 24 degrees
Step-by-step explanation:
It should have 180 total
180 - 61 = 119
-u/5=-27 help pls due today
Answers
Answer:
u = 135
hoped i helped u
Step-by-step explanation:
A DVD originally costs $16. The discounted price is $12. What is the
percent change?
25% increase
25% decrease
18.75% increase
18.75% decrease
Which one of those answers?
And explain?
Answers
Answer:
The answer to your question is 25% decrease.
Answer:
25% decrease
25% of 16 is 4
Make it brainliest and give it heart ty
#CarryOnLearning
2. A spy uses a telescope to track a rocket launched vertically from a launch pad 6 km away. The rocket travels upwards at a velocity of 21.6 km per minute. Find the rate of change of the distance between the spy and the rocket when the rocket is 8 km in the air. Answer: 17.28 km/mim
NEED HELP ASAP
Answers
Answer:
The rate of change in distance between the spy and the rocket is 10.8 km/min,
or about 180 m/sec.
Step-by-step explanation:
At "Time=0" the rocket is 6km from the spy.
The rocket travels vertically 8km in about 0.37 minutes, calculated by 8km÷21.6km/min.
At that point, the rocket is 10 km from the spy., calculated by 6²+8²=10²
The difference is 4 kiilometers over 0.37minutes, about 22.2 seconds
Divide Distance by Time to get Rate:
4km/0.37min = 10.8 km/min
That is about 180 meters per second.
when the denominators are the same, the fraction with the _____ is the largest fraction
Answers
Bigger numerator
Means bigger fraction
When the denominators are the same, the fraction with the bigger numerator is the largest fraction .
What is the fraction?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
It is simpler to identify the larger or smaller fraction when comparing fractions with the same denominator. We may easily find the fraction with the larger numerator by first determining whether the denominators are the same.
Therefore, when the denominators are the same, the fraction with the bigger numerator is the largest fraction .
To learn more about the fraction visit:
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hELp mEEEEEEE pLssssssss
Answers
Answer:
its #3
Step-by-step explanation:
hope this helps
it's 3
Step-by-step explanation:
Hope it is correct
What is 1/3+1/6 I thought it was 36 but my teacher said no so can you help me because I don’t under stand this work pls help I need it now
Answers
Answer:
1/2
Step-by-step explanation:
Given the mathematical expression;
[tex] \frac {1}{3} + \frac{1}{6} = 0 [/tex]
First of all, we would determine the lowest common multiple for 3 and 6.
Lcm = 6
[tex] \frac {1}{3} + \frac{1}{6} = \frac {2 + 1}{6} [/tex]
[tex] \frac {2 + 1}{6} = \frac {3}{6} [/tex]
[tex] \frac {3}{6} = \frac {1}{2} [/tex]
Therefore, 1/3 + 1/6 = 1/2
1:13 scale model bobble head of you, how tall would it be in centimeters if you are 170.18 cm?
Answers
Answer:
13,1cm
Step-by-step explanation:
1 : 13
1 : 170,18cm
170,18cm divided 13 : 170,18cm
13,090cm : 170,18cm
or
13,1cm : 170,18cm
bobble head is
13,1cm
cmiiw!
Children 4 years old or younger can ride the train for free. Write an inequality that expresses who can ride the train for free.
Answers
x<=4
x is less than or equal to four
children less than or equal to four can ride the train for free
WILL MARK BRAINLIEST!!!
Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven, respectively.
a. 231 five
b. 11001 two
c. 12T twelve
Answers
11011 in base 2 means 1(24) + 1(23) + 0(22) + 1(21) + 1(20) = 27
39T in base 12 means 3(122) + 9(121) + 10(120) = 550
Hey Can someone help me please
Answers
Pls Answer The following Question Given
Answers
Answer:
11/15 > 4/7.
Step-by-step explanation:
11/15 = 0.7333.....
4/7 = 0.5714....
Obviously from this, we can conclude that 11/15 is greater than 4/7.
So, the answer is 11/15 > 4/7.
Answer:
a)>
hope it's helpful ❤❤❤
THANK YOU.
The average mark scored by 29 students in a science test was 56%. John was sick, so he sat the test late and scored 71%. Including John's score, what was the new mean mark?
Answers
Answer:B
Step-by-step explanation:
80% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?
Answers
Answer:20%
Step-by-step explanation:
Answer: 20%
Step-by-step explanation:
Determine the simple interest when: principal: $890, interest rate: 4.25%, time: 2 year
Answers
explaination ::
principle (p) = $890
rate (r) = 4.25%
time (t) = 2 years
simple interest = (p × r × t)÷100 = (890 × 4.25 × 2)÷100 = $75.65MARK ME AS BRAINLISTPLZ FOLLOW MEOne of the legs of a right triangle measures 6 cm and its hypotenuse measures 11 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer: 12.53 cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]h^2=x^2+y^2\\ \\ x^2=h^2-y^2\\ \\ x=\sqrt{h^2-y^2}\\ \\ x=\sqrt{121-36}\\ \\ x=\sqrt{85}[/tex]
If a Customer places an order for $47.36 and it’s late, then how much would the customer be refunded if the refund is 20% on the total
Answers
I just multiplied the total by the refund percentage to get that number. It’s just like finding a tip.
The amount of the money refunded to the customer will be $9.472.
What is the percentage?
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a Customer places an order for $47.36 and it’s late. The refund is 20% of the amount.
The refunded amount will be calculated by multiplying the total amount by the percentage of the refund,
Refund = $47.36 x 0.2
Refund = ( $9.472 )
Therefore, the refunded amount will be $9.472.
To know more about percentages follow
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help! answer options included
Answers
Answer:
Y = [-6 6 6 -6]
Step-by-step explanation:
From the given matrices
If X - 2Y = Z
b - 2c = a ... 1
a -2d = c ...2
4+2a = 16.... 3
a + 2b = b .... 4
From3 ;
2a = 16-4
2a = 12
a = 6
From 4;
a + 2b - b = 0
a+b = 0
a = -b
6 = -b
b = -6
From1;
b - 2c = a
-6 - 2c = 6
-2c = 12
c = -6
also
a - 2d = c
6-2d = -6
-2d = -6-6
-2d = -12
d = 6
Hence the matrices Y = [-6 6 6 -6]
1/3x = 6
solve equation mentally
Answers
Answer:
x=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
helppp!! For the given solid figure, find the value of the variable.
Answers
9514 1404 393
Answer:
10 cm
Step-by-step explanation:
The diameter of the cylinder is 6 cm, so the length designated 'c' is the hypotenuse of a right triangle with legs 6 cm and 8 cm.
The Pythagorean theorem tells you the hypotenuse is ...
c^2 = (6 cm)^2 + (8 cm)^2 = 100 cm^2
c = √(100 cm^2) = 10 cm
The value of c is 10 cm.
_____
You may recognize these numbers as double those of a 3-4-5 right triangle.
-3(x-14) + 9x = 6x + 42
Answers
Answer:
All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(x−14)+9x=6x+42
Step 1: Simplify both sides of the equation.
−3(x−14)+9x=6x+42
(−3)(x)+(−3)(−14)+9x=6x+42(Distribute)
−3x+42+9x=6x+42
(−3x+9x)+(42)=6x+42(Combine Like Terms)
6x+42=6x+42
6x+42=6x+42
Step 2: Subtract 6x from both sides.
6x+42−6x=6x+42−6x
42=42
Step 3: Subtract 42 from both sides.
42−42=42−42
0=0
Answer:
all real numbers
Step-by-step explanation:
-3 (x - 14) + 9x = 6x + 42
-3 (x - 14) + 9x - 6x = 6x - 6x + 42
-3 (x - 14) + 3x = 42
-3 (x) - 3 (-14) + 3x = 42
-3x + 42 + 3x = 42
3x - 3x + 42 = 42
42 = 42
hellppppppooooooppppppppppp
Answers
Answer:
A
hope i helped
-8m – 6(1 - 4m) = -102
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-8m – 6(1 - 4m) = -102 Question
Step 2
-8m – 6(1 - 4m) = -102 Remove parenthesis
16m-6=-102
Step 3
16m-6=-102 add 6 to sides
16m=-96
Step 4
16m=-96 Divide sides by 16
Answer
m=-6
Hope this helped
Answer:
Step-by-step explanation:
I can help
Step 1
-8m – 6(1 - 4m) = -102 Simplify
Step 2
-8m – 6(1 - 4m) = -102 Add 6 to the sides
16m=−96
Step 3
16m=−96 Divide the sides by 16
Answer
m=-6
Hope this helps
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment
Answers
Answer:
Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]
Step-by-step explanation:
Number of security doors = 3
Let P denote a successful pass and F denote a failed pass.
Sample space refers to a set of all possible outcomes.
If the first attempt to pass through a door is a failure, then the outcome is F.
If the second attempt to pass through a door is a failure, then the outcome is PF.
If the third attempt to pass through a door is a failure, then the outcome is PPF.
If the fourth attempt to pass through a door is a failure, then the outcome is PPP.
Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]
2. Mr. C'Quence just wrote a 35-problem test for his math class. He wants some of the problems to be
worth two points each while the rest will be worth three points each. If the test must be worth a total of
100 points, set up a system of equations to determine how many of each type of problem Mr. C'Quence
should have on his test?
Define the variables:
Write the system (but do not solve):
I
Answers
How much money do you need to deposit monthly into a college fund for
your new baby in order to have $150.000 by the time they are 18 years
old if you earn 6% annual interest?
Answers
Answer:
im guessing its supposed to be 150,000 so it would be $1,656.25 per month
Step-by-step explanation:
Let W represent the number of attempted experiments to get one experiment that is not successful.
The random variable W has a geometric distribution with mean 4 and standard deviation 3.5. Which of the following is the best interpretation of the standard deviation?
Answers
A single value randomly selected from the distribution of W will vary 4 by 3.5 attempted experiments. (collegboard)
Answer:
Values of W typically vary from 4 by about 3.5 attempted experiments, on average.
Step-by-step explanation:
Shelly is tying to improve her running time for track race. She ran the first race 43.13 seconds. Her time was 43.1 seconds in the second race and 43.07 seconds in the third race. If this patteren continues, what will Shelly's time be in the fourth race?
Answers
Answer:
42.77
Step-by-step explanation:
The pattern is taking away 0.3. 43.07 minus 0.3 equals 42.77
Y = 0.4x^2 + 2x + 2.5 Help!
Answers
Answer:
Step-by-step explanation:
Are you trying to find the x-intercepts?
Pythagorean Theorem:
x = [-2 ±√(2^2-4(0.4)(2.5)]/[2(0.4)] = -2.5
Please help. I suck at geometry
Answers
Answer:
Complementary angle is 90 degree and supplementary angle is 180 degree