Answers
f^-1(x)=x
y=1/(x+5) - 1
y+1=1/(x+5)
(x+5)=1/(y+1)
x=1/(y+1)-5
f^-1(x)=1/(x+1) -5
denominator cannot equals to zero
x+1≠0
x≠-1
answer
B
Related Questions
Richie says that the least common multiple of a pair of prime numbers is the product of two numbers. Is he right or wrong? Explain why,
Answers
lcm = the lowest multiple of both numbers
to get this you would usually multiply all the prime numbers that the original number can be split into, since the chosen numbers are both primes (a number that is only divisible by itself) there is no need and the only thing we can do is multiply them together
A guitar effects pedal enthusiast is going to a gear convention where people sometimes break out their own custom pedals to show off or trade. She has 5 different pedals she's thinking about packing with her, but she's not sure whether she should bring all of them, some of them, or none of them. How many different ways are there for her to decide whether and how many pedals to pack? Use subsets to help you figure this out, and write your answer as a whole number.
Answers
There are 32 different combinations that she can select out of the 5 pedals.
How many different combinations there are?
We want to get the total number of different combinations that we can make with 5 different pedals.
Remember that for a set of N elements, the number of different sets of K elements that we can make is:
[tex]C(N, K)=\frac{N!}{(N - K)!*K!}[/tex]
In this case, the total number of different combinations that we can make with the 5 pedals is given by:
C = C(5, 0) + C(5, 1) + C(5, 2) + C(5, 3) + C(5, 4) + C(5, 5).
Let's calculate each one of these:
[tex]C(5, 0) = \frac{5!}{(5 - 0)!*0!} = \frac{5!}{5!} = 1\\\\C(5, 1) = \frac{5!}{(5 - 1)!*1!} = \frac{5!}{4!} = 5\\\\C(5, 2) = \frac{5!}{(5 - 2)!*2!} = \frac{5!}{3!*2!} = \frac{5*4}{2} = 10\\\\C(5, 3)= \frac{5!}{(5 - 3)!*3!} = \frac{5!}{3!*2!} = \frac{5*4}{2} = 10\\\\\\C(5, 4) = \frac{5!}{(5 - 4)!*4!} = \frac{5!}{4!} = 5\\\\C(5, 5) = \frac{5!}{(5 - 5)!*5!} = 1[/tex]
So the total number of different combinations is:
C = 1 + 5 + 10 + 10 + 5 + 1 = 32
If you want to learn more about combinations, you can read:
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In the triangle below, what is the length of Ac?
B
60°
14
60°
60°
А
с
Answers
Answer:
A-14
Step-by-step explanation:
All the angles of the triangle ABC are 60°.
Therefore it is an equilateral triangle.
All sides of an equilateral triangle are equal.
Hence, AC = 14
Evaluate 14(7) -d 2f when d = 2 and f = 4
Answers
Step-by-step explanation:
98 - 3 * 2 * 4 equal to 9 - 2 * 840 + 9 - 6 equal to -7
The evaluation of 14(7) -d 2f when d = 2 and f = 4 is 82.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
An expression,
14(7) -d 2f.
To find the value of the expression:
Substitute the given value of d and f.
When d = 2 and f = 4,
the equation is,
14(7) -(2)2(4)
= (14 x 7) - ( 2 x 2 x 4)
= 98 - 16
= 82
The evaluation of the equation when d = 2 and f = 4 is 82.
Therefore, the solution is 82.
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Ashley painted 1/2 of her bathroom ceiling. Alex painted 1/4 of the ceiling in the school library. Who painted the larger fraction of their ceiling? (USE A PICTURE TO DEMONSTARTE YOUR ANSWERS).
Answers
Answer:
you can not solve this question
Step-by-step explanation:
you don't know how big a cieling is
for example:
Matt has $39.25 to spend on drum classes. Each
class costs $9 plus a one-time registration fee of
$3.25. Let the variable y represent the number of
classes. Write an equation that represents the
number of classes Matt can attend for $39.25?
Answers
Answer:
The equation is, y = 9x + 3.25 and spending $39.25 will give him 4 classes.
The Jones family was one of the first to come to the U.S. They had 7 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had:
Answers
Answer:
Probability of at least 4 girls
= P(X >= 4)
= P(X=4) + P(X=5) + P(X=6)
= .2734 + .1641 + .0547 + .0078
= .5
Step-by-step explanation:
hope this helps.
Royell sold his shoes and put $1000 into a savings account with an interest rate of 5%. How much money will be in his account if he doesn't touch it after 7 years?
A $20,000
B $700
C $1,350
D $1,500
Answers
Answer:
C.
Step-by-step explanation:
(1,000)(0.05)(7)
I = $350
1,000 + 350
=$1,350
Which of the following statements are correct?
Answers
The corresponding side lengths of two
figures have a ratio of What is the ratio of the perimeters? the ratio of
or
the areas?
Answers
Answer:
you make a question that lacks explanation
What is 1235533+1344145
Answers
Answer:
2579678
...
...
....
....
Answer:
2579678
Step-by-step explanation:
please help me with this one too , Thank you
Answers
42 - 8 / 2
34 / 2
17
5. Dana had $700. She spent 1/2 of her money on car note and 1/4 of the remainder on car
insurance. How much money is left with her?
Answers
Answer:
the answer is 87.5.
Step-by-step explanation:
If you divide 700 by 2 it equals 350. Then when you multiply 350*0.25, 87.5 or 87 1/2 is your answer
What additional information is needed to prove the triangles are congruent by the SAS postulate
Answers
Answer:
Step-by-step explanation:
The additional information needed to prove the triangles are congruent by the SAS postulate:
If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are congruent.
Part C
Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the
number of points scored (p).
Answers
The equation that shows the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p) is p = 3b
In basket ball, If a shot is successfully scored from outside of the three-point line, three points are awarded.
The variables are b and p.
where
p = number of points scored
b = number of basket made outside the three point line.
What is Variables?Variables are numbers represented with letters in a mathematical expression.
Therefore, the equation that shows the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p) is as follows:
p = 3blearn more on equation here: https://brainly.com/question/23663066
Answer:
P = 3b
Step-by-step explanation:
.ok so I don't get it
Answers
Answer:
5280 feet
Step-by-step explanation:
Answer:
how many feet is a mile its 5280 feet
Step-by-step explanation:
Ben takes out a personal loan of £1200 with a simple interest rate of 20% for a term of 3 years how much is the total cost of the personal loan after 3 years?
Answers
Answer:
$1920
Step-by-step explanation:
Original amount: £1200 x Simple interest rate: 0.2 x number of years: 3 = 720
Add Original onto simple interest
£1200 + £720 = £1920
Total Cost of personal loan after 3 years = £1920
Joseph is planting a veggie Garden he plants two tamaotos for every 5 peppers. Of Joseph plants 14 tomatos how many pepers does he plant
Answers
Answer:
The answer is 35 plants.
Step-by-step explanation:
The ratio of tomato plant to that of pepper plant = 2:5
Let x be the number of pepper plants for 14 tomato plants.
Now, according to the question:
2:5 = 14:x
14×5 = 2x
x = 70/2 = 35 plants.
Answer:
35 peppers
Step-by-step explanation:
Use cross multiplication
2 tomatoes/5 peppers = 14 tomatoes/x peppers
x peppers = (5*14) / 2 = 35
Andy is a landscaper, Yesterday, he planned a 2- foot- tall elm tree and a 14- foot tall maple tree. The elm tree is expected to grow 5 feet taller each year. The maple tree is expected to grow 2 feet taller each year. At those rates, in how many years will the tree be the same height?
Answers
Brad plans to bike 15 miles. He has gone of the entire
distance. How far has he gone?
Answers
Answer:15 miles
Step-by-step explanation: well he biked for all of the 15 miles!?
Answer:
If he wants to bike 15 miles and completes it, then he’s gone 15 miles.
Susan bought a 2-kilogram bag of grapes.On the way home,she ate 125 grams of the grapes.How many grams of grapes did Susan have left?
Answers
Answer:
2 kilograms =2000grams
2000grams - 125grams =1875grams
1875grams of grapes did Susan have left
aisha estimates the product of 12 and 2.4 by round in 2.4 to the nearest whole
what is aishas estimate?
what is the product of 12 and 2.4
i will give brainiest
Answers
Answer:
I'm pretty sure this is the answer its 24 or 30
Step-by-step explanation:
Because first what you would do is round 2.4 to 2 then multiply it by 12 to get 24 if its not 24 it would be 28.8 then you round 28.8 to 30. Hope that helped! :)
The numbers 1, 2, 3, 4, 5, 6 are written on identical cards and placed in a bag. A card is selected at
random from the bag. Let A be the event "əb even number is chosen: and let B be the event "a square
number is chosen." Are events A and B independent?
Yes
No
Answers
Answer:
yes yes yes yes yes yes yes
No, events A and B are not independent.
How are events A and B not independent?Given:
The numbers 1, 2, 3, 4, 5, and 6 are written on identical cards and placed in a bag.A card is selected at random from the bag.Let A be the event that an even number is chosenLet B be the event that a square is chosen.Find:
Are events A and B independent?Solution:
As per the question;
Event A will be having 2, 4 and 6
Event B will be having 2 and 4
So, from above we can see that B is dependent on A.
Therefore, Yes events A and B are not independent.
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Which of the following is not a linear function?
Answers
Answer:
A
Step-by-step explanation:
Choice A contains a x^2 term. This is a quadratic term. Therefore it is not a linear function.
explain it i’m so confused
Answers
Answer: 2.4A because of the wire length
Can someone please help me?
Answers
Answer:452.38934211693
Step-by-step explanation:
What time does the first train get to oakengates
Answers
Answer:
a) 0815
b) 22 minutes
Hope this helps!
En la misma papelería, a Julián le cobraron $40 por 4 lápices y 8 plumas, mientras que a Estefanía le cobraron $25 por 6 lápices y 2 plumas. ¿Cuántos pesos costó cada pluma?
Answers
The cost of a pen is $3.5 while the cost of a pencil is $7
Simultaneous equationLet the price of pen be x
Let the price of pencil be y
If Julian was charged $40 for 4 pencils and 8 pens, then;
4y + 8x = 40
y + 2x = 10
y = 10 - 2x .............. 1
Similarly, if Estefania was charged $25 for 6 pencils and 2 pens, then;
6y + 2x = 25
Substitute 1 into 2 to have:
6(10-2x)+ 2x = 25
60 - 12x + 2x = 25
60-10x = 25
10x = 35
x = 3.5
Since y = 10 - 2x
y = 10 - 7
y = 3
Hence the cost of a pen is $3.5 while the cost of a pencil is $7
Learn more on equations here: https://brainly.com/question/16863577
Lucy has a job where she has a take-home salary each month of $2700, Ir Lucy wants to spend no more than 15% of her monthly take-home salary on her car payment,
how much can she afford?
Answers
Answer:
$405
Step-by-step explanation:
2700 x 0.15 = 15% of 2700
what is the population variance for 138, 151, 169, 142, 176, 155, 132, 177
Answers
Answer:
265.50000
Step-by-step explanation: