Determine if the given functions are inverse functions.
g(x) = 4 - 3/2x
f(x) = 1/2x + 3/2
Answers
Answer: ( f + g ) ( 2 ). Solution. Step 1. Find ( f + g ) ( x ). Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;. ( f + g ) ( x ) = ( 2x + 1 ) + (x. 2. + 2x – 1 ). = 2x + 1 + x. 2. + 2x – 1. = x. 2. + 4x. Step 2. Find ( f + g ) ( 2 ). To find the solution for ( f + g ) ( 2 ) ... ( f – g ) ( 2 ) = 3 (2) – 6.
Related Questions
Jim earned $20 of interest on a $4000 deposit that was left in the bank for 9 months. What was the interest rate?
Answers
Jane is studying the rate at which the sale of a particular brand of chocolate has increased over the years. The graph below shows the number of bars sold, y, in thousands, after x years since the year 2000:
graph of y equals 15 multiplied by 1.1 to the power of x
What does the y-intercept of the graph represent?
a Price of a bar of chocolate
b Number of bars sold in 2000
c Number of bars sold before 2000
d Rate of increase in the sale of chocolates
Answers
y=15(1.1)^0
y=15(1)
y=15
And y is in thousands so this represents the sale of 15000 bars in the year 2000.
Answer:
B. number of bars sold in chocolate
Step-by-step explanation:
i took the test
Consider the finite strings of length 100 drawn from the alphabet of 4 letters {a,b,c,d}. How many of those strings use no more than two different letters?
Answers
Answer:
[tex]2^{100} * 6[/tex]
Step-by-step explanation:
length of finite strings = 100
number of letters : 4 { a,b,c,d }
Determine the number of strings that use ≤ two different letters
since the number of letters is 4 and we are allowed to make use of at most 2 different letters
Then the number of ways will be : [tex]^{4} C_{2}[/tex] = 6 ways
now considering the length of the Finite strings
The number of strings that use no more than two different letters
= [tex]2^{100} * 6 ways[/tex]
PLEASE HELP DUE IN LIKE 5 MINUTES (15 PTS)
8(t+2)-3(t-4)=6(t-7)+8
Please show all work and answer! THANKS SO MUCH!!!
Answers
Answer:
T=62
Step-by-step explanation:
Answer:
T= 62
Step-by-step explanation:
First you need to distribute
8t+16-3t+12=6t-42+8
Next you need to simplify the problem
5t+28=6t-34
-5 +34 -5.+34
62=1t
/1. /1
t=62
Sorry if it's not specific enough
Which 2 expressions are equivalent to 647 × 39
Answers
Answer:
25233
Step-by-step explanation:
What expressions, please complete your answer!
647 × 39 = 25233
Pls consider marking my answer as Brainliest! It would mean a lot!
a square had a side length of 9cm. what is the area?
Answers
Answer:
81cm^2
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
Let's do a quick refresher on how to find area.
l = length
w = width
a = area
a = l(w)
Since one side is 9cm, and all the sides are equal, you multiply 9x9.
Nine times nine is 81.
Hope it helped!
A jury pool has 15 people that are married and 20 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the probability that the jury consists of the following. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation out to 4 decimal places for example 3.3421E-6.)
Answers
Answer:
a
[tex]P(K) = 0[/tex]
b
[tex]P(Z) = 0[/tex]
c
[tex]P(W) = 0.1016[/tex]
d
[tex]P(R) = 0.29[/tex]
Step-by-step explanation:
From the question we are told that
The number of married people is k = 15
The number of people that are not married is u = 15
The number of people selected is e = 12
The total number of people is n = 30
Generally the number of ways of selecting 12 people from the married people is mathematically represented as
[tex]B = ^k C_e[/tex]
Here C stands for combination hence we will be making use of the combination functionality in our calculators
[tex]B = ^{15} C_{12}[/tex]
=> [tex]B = 455[/tex]
Generally the number of ways of selecting 0 people from the not married people is mathematically represented as
[tex]A = ^u C_0[/tex]
=> [tex]A = ^{15} C_0[/tex]
=> [tex]A = 1[/tex]
Generally the number of ways of selecting 12 people from the total number of people is mathematically represented as
[tex]D = ^{n} C_{12}[/tex]
=> [tex]D = ^{30} C_{12}[/tex]
=> [tex]D = 8.6493225 *10^{7}[/tex]
Generally the number of ways of selecting 12 people from the married people is equal to the number of ways of selecting 12 people from not married, also the number of ways of selecting 0 people from the not married is equal to the number of ways of selecting 0 people from the married people, all this is because the number of married people is equal to the number of not married people
Generally the number of ways of selecting 8 people from the married people is
[tex]E = ^{k} C_{8}[/tex]
=> [tex]E = ^{15} C_{8}[/tex]
=> [tex]E =6435[/tex]
Generally the number of ways of selecting 4 people from the not married people is
[tex]F = ^{u} C_{4}[/tex]
=> [tex]F= ^{15} C_{4}[/tex]
=> [tex]F=1365[/tex]
Generally the number of ways of selecting 6 people from the married people is
[tex]G = ^{k} C_{6[/tex]
=> [tex]G= ^{15} C_{6}[/tex]
=> [tex]G=5005[/tex]
Generally the number of ways of electing 6 people from the married people is equal to the number of ways of selecting 6 people from the not married people
Generally the probability that the jury consists of all married people is mathematically represented as
[tex]P(K) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(K) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(K) = 0.000005[/tex]
=> [tex]P(K) = 0[/tex]
Generally the probability that the jury consists of all not married people is mathematically represented as
[tex]P(Z) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(Z) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(Z) = 0.000005[/tex]
=> [tex]P(Z) = 0[/tex]
Generally the probability that the jury consists of 8 married and 4 that are not married is mathematically represented as
[tex]P(W) = \frac{ E * F}{D}[/tex]
=> [tex]P(W) = \frac{ 6435 * 1365}{8.6493225 *10^{7}}[/tex]
=> [tex]P(W) = 0.1016[/tex]
Generally the probability that the jury consists of 6 married and 6 that are not married. is mathematically represented as
[tex]P(R) = \frac{G * G}{D}[/tex]
[tex]P(R) = \frac{5005 * 5005}{8.6493225 *10^{7}}[/tex]
=> [tex]P(R) = 0.29[/tex]
On a certain day, 525 people
signed up to play softball. If 15 players
are assigned to each team, how many
teams can be formed?
Answers
Answer:
35
Step-by-step explanation:
Which decimal number is equal to 1/8?
A. 0.125
B. 0.(125)
C. 0.1(25)
D. 0.12(5)
Answers
Answer:
A. 0.125
Step-by-step explanation:
What two ratios are equivalent to 10 : 12
Answers
Answer:
5/6
Step-by-step explanation:
10:12 can also be expressed as a fraction which is 10/12 then simplify, divide each number by 2 and you will get 5/6
Pls mark as brainliest, thank u and have a wonderful day.
5 : 6 , 5 to 6
Step by step
10 / 2 = 5
12 /2 : 6
Basically you have to just find a number that can go into both parts of the ratio hope this helps !!
The polynomial p is graphed. What is the remainder when p(x) is divided by (x-3)? Your answer should be an integer.
Answers
The remainder when p(x) is divided by (x-3) is 1
RemaindersThe remainder of a polynomial can be gotten from graphs and by using the remainder theorem
Divisors
The divisor of an expression is the number or expression that divides an expression
The divisor of the polynomial is given as:
x - 3
Set the above divisor to 0
[tex]x - 3 = 0[/tex]
Add 3 to both sides of the equation
[tex]x = 3[/tex]
Next, we determine P(3) from the graph.
From the graph, we have:
[tex]P(3) = 1[/tex]
Hence, the remainder is 1
Read more about remainder theorems at:
https://brainly.com/question/13328536
Answer:
1
Step-by-step explanation:
trust me I did the doofus test
A school district orders 267 boxes of pencils. Each box contains 100 pencils. If the pencils are to be shared evenly amongst 10 classrooms, how manny will each class recive?
Answers
Answer:
Each class will receive 2670 pencils
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
Bam scored 12 points per game last year. This year he scores 19 points per game. By what percent did his point production change?
Answers
Answer:
[tex]\%Change = 58.33\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 12[/tex]
[tex]Final = 19[/tex]
Required
Determine the percentage change
Percentage change is calculated as thus:
[tex]\%Change = \frac{|FInal - Initial|}{Initial} * 100\%[/tex]
[tex]\%Change = \frac{|19 - 12|}{12} * 100\%[/tex]
[tex]\%Change = \frac{|7|}{12} * 100\%[/tex]
[tex]\%Change = \frac{7}{12} * 100\%[/tex]
[tex]\%Change = \frac{7* 100\%}{12}[/tex]
[tex]\%Change = \frac{700\%}{12}[/tex]
[tex]\%Change = 58.33\%[/tex]
which number is greater 10 cubed or 30 squared
Answers
Answer:
10^3= 1000 and 30^2 = 900
Step-by-step explanation:
Casey gets paid $2.55 per hour waiting tables. On Friday she earned $72 in tips and made a total of $82.20. How many hours did she work Friday?
Answers
First you would subtract 72 from 82.20 which is 12.20 and then you would divide 12.20 by 2.55 which is 4.78431373 and you round that to the nearest whole :)
a 141 inch is cut into two pieces one piece is two times the length of the other . find the length of the shorter piece
Answers
Answer:
The second length of the piece because 141 times 2 which is two times the amount of the second piece is 282.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is 47.
Estimate $12.28+$0.82 by rounding to the nearest whole number
Answers
Answer:
$13
Step-by-step explanation:
Answer:
$13.00
Step-by-step explanation:
¿Cual es el area de un circulo de r=5cm?
Porfavor urgente
Answers
Answer:
En este caso, área de un círculo de diámetro 5 cm es de 19,63 cm2
The probability that a college graduate will find a full time job within three months after graduation from college is .27. Three college students, who will be graduating soon, are randomly selected. What is the probability that all three of them will find full-time jobs within three months after graduation from college
Answers
Answer:
The probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.
Step-by-step explanation:
Let X denote the number of college graduates who will find a full time job within three months after graduation from college.
A random sample of 3 college students, who will be graduating soon, are selected.
The probability of X is, p = 0.27.
Each student is independent of the other to find a full time job within three months after graduation from college.
The random variable X follows a binomial distribution with parameter n = 3 and p = 0.27.
Compute the probability that all three of them will find full-time jobs within three months after graduation from college as follows:
[tex]P(X=3)={3\choose 3}(0.27)^{3}(-0.27)^{3-3}[/tex]
[tex]=1\times 0.019683\times 1\\=0.0197[/tex]
Thus, the probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.
Sallie read an average of 1.5 books each week during the year.
Write an equation that represents the amount of books that she read (y) per week (x).
Answers
Answer:
y=1.5x
78
Step-by-step explanation:
y=1.5x
y=1.5(52)
y=78
5(3.4k - 7) + (3k + 21)
Answers
Answer:
20k - 4
Step-by-step explanation:
Step 1: Write expression
5(3.4k - 7) + (3k + 21)
Step 2: Simplify
Distribute 5: 17k - 35 + 3k + 21Combine like terms (k): 20k - 35 + 21Combine like terms (integers): 20k - 14SOULJA BOY CREATED THE INTERNET!!!!!!!!!!!!!
Answers
Answer:
wait what???
Step-by-step explanation:
I don't get it
Answer:
NO WAY
Step-by-step explanation:
Scores of high school seniors taking the English Regents examination in New York State are normally distributed with a mean of 70 and a standard deviation of 10.
Required:
a. Find the probability that a randomly selected high school senior will have a score between 70 and 75.
b. Find the probability that a randomly selected high school senior will have a score higher than 85.
Answers
Answer:
0.19146
0.066807
Step-by-step explanation:
Given that :
Mean (m) = 70
Standard deviation (s) = 10
a. Find the probability that a randomly selected high school senior will have a score between 70 and 75.
X ≤ 70 :
Using : z = (x - m) / s
Z = (70 - 70) / 10
Z = 0 / 10
Z = 0
P( Z < 70) = 0.500
X ≤ 75
z = (x - m) / s
Z = (75 - 70) / 10
Z = 5 / 10
Z = 0. 5
P(z < 0.5) = 0.69146
0.69146 - 0.5000
= 0.19146
b. Find the probability that a randomly selected high school senior will have a score higher than 85.
X ≥ 85
z = (x - m) / s
Z = (85 - 70) / 10
Z = 15 / 10
Z = 1.5
P(z > 1.5) = 0.066807 ( Z probability calculator)
A model train is 153.4 inches long. Each car in this train is 25.8 inches in length. How many cars are in the train
Answers
Answer:
5
Step-by-step explanation:
G (x) = x^2 - 3x + 2 , find g (-4) - show work
Answers
Answer:
30
Step-by-step explanation:
Plug in -4 wherever you see an x. So:
([tex]-4^{2}[/tex])-(3*-4)+2 --> (16) - (-12) + 2 --> 16 + 12 +2 (two negatives make a positive) --> 28 + 2 = 30
An account is opened with an initial deposit of $700 and earns 3.3% interest compounded semi annually. What will the account be worth in 3 years
Answers
Answer:
772.22
Step-by-step explanation:
A=$700(1+0.0332)2(3). Simplify using the order of operations: A=$700(1.0165)6=$700(1.103174712)≈$772.22.
Jimmy wants to serve iced tea at his birthday party. He purchases 14 containers filled with 1.5 liters of tea. Approximately how many gallons of tea did he purchase? (1 gallon is about 3.8 liters)
Answers
Answer:
5.5 gallons
Step-by-step explanation:
The answer is 5.5 gallons.
Number of containers = 14
Amount in each container = 1.5 liter
1 gallon = 3.8 liter
Find:Total amount of tea in gallon
Computation:Total amount of tea in gallon = Number of containers × Amount in each container / 3.8
Total amount of tea in gallon = 14 × 1.5 / 3.8
Total amount of tea in gallon = 21 / 3.8
Total amount of tea in gallon = 5.5 liter (Approx.)
Learn more:https://brainly.com/question/20439186?referrer=searchResults
Plz help I will mark brainlest
Answers
Answer:
2
Step-by-step explanation:
since 1 inch is 100 miles, that means 200 miles would equal 2 inches
The owner of a flower shop sell 17 roses for $13 What is the cost in dollars per rose? Round your answer to the nearest hundreth Brandmart is selling 8 glue sticks for $3.20. What is the cost per glue stick?
Answers
0.40$-2nd question
What is the equation of the line described below written in slope-intercept form?
the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0
y=-3x+1
y= 2x-1
y=2x + 1
Answers
Answer:
y = - (1/2) x + 1
Step-by-step explanation:
The given equation of the line is:
2 x - y - 7 = 0
solving for y gives:
2 x - 7 = y
so y = 2 x - 7
where the slope is "2", which is fundamental to know in order to construct a perpendicular line to it by using the "opposite of the reciprocal" of the given slope.
So in our case, the slope of the perpendicular line must be: "- 1 / 2" (negative one half).
now we can build the equation of the new line, using this slope and requesting the point (4, -1) to be in it:
y = - (1/2) x + b
-1 = - (1/2) (4) + b
-1 = - 2 + b
solve for b:
b = 2 - 1 = 1
Then the equation of the perpendicular line is:
y = - (1/2) x + 1
y= -1/2 x+1
Step-by-step explanation:
2x-y-7=0
2x-7=y
y=2x-7