Answer:
Last choice
Step-by-step explanation:
The basic definition of inverse function is both domain and range are swapped.
The domain is defined as set of all x-values while range is defined as set of all y-values.
If we have set of function h = {(1,2), (3,4), (5,6)} then the inverse will be {(2,1), (4,3), (6,5)}. Thus, if set of (x,y) is original function then set of (y,x) will be inverse of set of (x,y).
Henceforth, the inverse of f(x) will be g(x) = {(3,8), (1,4), (-1,0), (-3,-4)}.
Answer:
D. g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}
Step-by-step explanation:
hope this helps:)
Instructions: Simplify the algebraic expression.
−12(32x−10y)
Answer:
-384x - 120y
Step-by-step explanation:
General Concepts and Formulas:
Brackets
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Steps:
1) Distribute
[tex]-12(32x-10y)[/tex]
We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.
So first, multiple -12 by 32 and add the variable 'x' when getting the product:
-12(-384x - 10y)
Now that we have one part, let's solve the other part.
We now must multiple -12 by -10, which gets us 120, now we must plug in:
(-384x - 120y)
(Remove parenthesis)
⇒ -384x - 120y
A pound of chocolate costs 6 dollars. John buys p pounds. Write an equation to represent the total cost c that John pays.
0-0 2
Question 29
XS ?
Answer:
c=6p
Step-by-step explanation:
you multiply
6 dollars per pound by p pounds
pounds cancel out and you are left with dollars
that is the cost
Which is equivalent to 3√8* ?
O x √8^3
O 8 ^3/x
O 8 ^x/3
O 8^3x
Answer:
O 8 ^x/3
Step-by-step explanation:
Remember that :
[tex]\sqrt[n]{x} = x^\frac{1}{n}[/tex]
………………………………
Then
[tex]\sqrt[n]{8^x} = (8^{x})^{\frac{1}{3}}[/tex]
[tex]= 8^{x\times\frac{1}{3}[/tex]
[tex]=8^{\frac{x}{3}[/tex]
How can you find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model?
The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)
Conditional ProbabilityThis is the probability that an event has happened given another event. If the two events are A and B, hence;
The conditional probability of A given B is expressed as:
P(A | B) = P(AnB)/P(B)
This given the fractions representing the conditional probability
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21/√7-5√7/2 solve it
Answer:
√72
Decimal Form:
1.32287565…
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
What is the results of
4-³ × (¼)²
Answer:
4^-3*(1/4)^2
(1/64)*(1/16)
=(1/1024)
Answer:
0.00025
Step-by-step explanation:
hope it'll help I'll ask . if you feel that it's not that correct please comment so that I can ask my sister who I'm sure she'll help although she's far good day.
Sara wants to find the input value that produces the same output for the functions represented by the tables.
A table headed with f(x) equals negative 0.5 x plus 2, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, f(x), has the entries 3.5, 3, 2.5, 2, 1.5, 1, 0.5. A table headed with g(x) equals 2 x minus 3, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, g(x), has no entries.
What is the input value that produces the same output value in both charts?
–2
–1
1
2
The input value that produces the same output value in both charts is 2. so the correct answer is option D.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
You are given two functions f (x) = -0.5X +2 and g(x) = 2x - 3
x f(x)
-3 3.5
-2 3
-1 2.5
0 2
1 1.5
2 1
3 0.5
The second table is given below:-
x g(x)
-3
-2
-1
0
1
2
3
We will put the points and will find the value of functions:-
g(-3) = 2(-3) - 3 = -6 -3 = -9
g(-2) = 2 -(-2) -3 = -7
g(-1) = 2( -1) -3 = -3
g(0) = 2 - 0 - 3 = -3
g(1) = 2.1 - 3 = -1
g(2) = 2.2 -3 = 1
g(3) = 2.3 -3 = 3
Hence the second table will be
x g(x)
-3 -9
-2 -7
-1 -5
0 -3
1 -1
2 1
3 3
The input value that produces the same output value in both charts is 2.
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Help me solve please with in depth explanation
3. The table shows information about the times for 100 people to complete a task.
Answer:
kuch bhi hai one kutiya kamini sour hii byy
8. If a conditional is true and its hypothesis is true, then its_____ is true.
100 points helpppp now
Solve the inequality hurrry show your work
33+6f<33
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:f < 0 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 33 + 6f < 33[/tex]
[ subtract 33 on both sides ]
[tex]\qquad \tt \rightarrow \: 33 - 33+ 6f < 33 - 33[/tex]
[tex]\qquad \tt \rightarrow \: 6f < 0[/tex]
[tex]\qquad \tt \rightarrow \: f < 0[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
find the length of CB
A. 7
B. 4
C. 14
D. 2
Answer:
7
Step-by-step explanation:
5x-3 = 3x+1
2x=4
x=2
plug in
5(2)-3
10-3
7
answer: 7
working together, rocco and giulia can paint a room in 3 hours. it would’ve taken rocco 7 hours to do the job alone. which equation can be used to determine r, giulia’s rate of work in parts per hour?
Answer:
1/7 + r = 1/3
Step-by-step explanation:
Rocco takes 7 hours to do the job.
In 1 hour, Rocco does 1/7 of the job.
Rocco's rate is 1/7 job per hour.
It takes Giulia x hours to do the job.
In 1 hour, Giulia does 1/x of the job.
Let r = 1/x. Giulia's rate is r part of the job per hour.
Together, Rocco and Giulia take 3 hours to do the job.
In 1 hour, Rocco and Giulia do 1/3 of the job.
Together, their rate is 1/3 of the job per hour.
1/7 + r = 1/3
Homework Progress 46 / 90 Marks Work out the length of AB. Give your answer to 3 significant figures. A (-1, 6) B (5, 3) X + Homework Progress 46 / 90 Marks Work out the length of AB . Give your answer to 3 significant figures . A ( -1 , 6 ) B ( 5 , 3 ) X +
Answer: 6.71
Step-by-step explanation:
[tex]AB=\sqrt{(-1-5)^{2}+(6-3)^{2}} \approx \boxed{6.71}[/tex]
Mathmatical proofs. please help
The terminal side of an angle in standard position passes through p(–3, –4). what is the value of tangent theta?
Answer:
4/3
Step-by-step explanation:
The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...
tan(θ) = y/x
__
For the given point on the terminal side, the tangent is ...
tan(θ) = (-4)/(-3) = 4/3
_____
Additional comment
There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:
(x, y) = (r·cos(θ), r·sin(θ))
Then the ratio y/x is ...
y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)
Marilyn is having shelves installed to create a corner pantry. the length of one wall is 21 inches and the length of the other wall is 25 inches. the contractor who is making the shelves, which are shaped like right triangles, needs to know the measure of the angle opposite the short side of the pantry, m∠a. what is the measure of that angle? round your answer to the nearest degree.
Answer:
He says the answer is 40°
Step-by-step explanation:
Answer is on brainly, here is the link to the answer. Hope it helps with your question!
https://brainly.com/question/4354055?referrer=searchResults
Hope this helps!
If not, I am sorry.
7 t-shirts and a hat costs £47.00
5 t-shirts and a hat costs £35.00.
How much does a t-shirt cost?
How much does a hat cost?
Answer:
Shirts are 6
Hats are 5
Step-by-step explanation:
This is a system of equations. Set up the equations first.
7s + h = 47
5s + h = 35
----------------------- Subtract the equations to eliminate the h variable
2s = 12 Divide by 2 to solve
s = 6 Each hat is 6
Plug the 6 in for s in either of the original equations
7(6) + h = 47
42 + h = 47 Subtract 42 from both sides
h = 5
Please help!!!!!!!
picture below
If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]
Vertical stretch of a functionGiven the parent function f(x) = x, if the function is vertically stretched by k units, the resulting function will be g(x) = kx
Given the parent function
f(x) = [tex]5^{x-2}[/tex]
If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]
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Graph the inequality -1 < y +5x<11
Answer:
b
Step-by-step explanation:
Calculate the cost of the number of units used
Step-by-step explanation:
calculated the cost of numbers of units usex
The cost of the fruit is given by the function y= 3x+1, where x is the number of fruits and y is the total cost. Find the
range of the function.
Answer:
The answer is the second option: {4, 7, 10...}
HELPP
Simplify the expression 6^3+ 5(4 − 2).
28
36
226
234
Answer:
BODMAS
[tex] {6}^{3 } + 5(4 - 2) = 216 + 5(2) \\ = 216 + 10 \\ = 226[/tex]
Answer: Answer is 226
Step-by-step explanation: Do math
A climber is on a hike. After an hour he is at an altitude of 150 feet. After 2 hours, he is at an altitude of 275 feet. After 4 hours, he is at an altitude of 525 feet and after 6 hours, he is at an altitude of 700 feet. Which table could be used to model his climb?
The table that could be used to model his climb will consist of 125 ft/h for the first two hours and 87.5 ft/h for the next 4 hours.
Equation of motion of the climberThe equation that can be used to model the motion of the climber is calculated as follows;
(1, 150)
(2, 275)
(4, 525)
(6, 700)
Slope for the first two hoursm = (275 - 150)/(2 - 1) = 125 ft per hour
Slope for the next 4 hoursm = (700 - 525)/(4 - 2) = 87.5 ft/hr
Thus, the table that could be used to model his climb will consist of 125 ft/h for the first two hours and 87.5 ft/h for the next 4 hours.
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If u get 2 points every 5 minutes, how long will it take to get 3,600 points?
Answer:
9,000 minutes (150 hours)
Step-by-step explanation:
You have 3,600 points total; you need to divide it by 2 points.
3,600 ÷ 2 = 1,800
So, now you need to multiply the 1,800 points by 5 minutes.
1,800 × 5 = 9,000
Another way:
You can figure out how long it takes to get 1 point. If 2 points takes 5 minutes, divide 5 by 2.
5 ÷ 2 = 2.5
Now you need to figure out how long it would take to get 3,600 points. If each point takes 2.5 minutes, just multiply.
3,600 × 2.5 = 9,000
It would take 9,000 minutes (which is equivalent to 150 hours) to get to 3,600 points.
A student committee is to consist of 2 freshmen, 5 sophomores, 4 juniors, and 3 seniors. If 6 freshmen, 13 sophomores, 8 juniors, and 14 seniors are eligible to be on the committee, in how many ways can the committee be chosen
Delete the commas if necessary.
============================================================
Explanation:
There are 6 freshmen total and we want to pick 2 of them, where order doesn't matter. The reason it doesn't matter is because each seat on the committee is the same. No member outranks any other. If the positions were labeled "president", "vice president", "secretary", etc, then the order would matter.
Plug n = 6 and r = 2 into the nCr combination formula below
[tex]n C r = \frac{n!}{r!(n-r)!}\\\\6 C 2 = \frac{6!}{2!*(6-2)!}\\\\6 C 2 = \frac{6!}{2!*4!}\\\\6 C 2 = \frac{6*5*4!}{2!*4!}\\\\ 6 C 2 = \frac{6*5}{2!}\\\\ 6 C 2 = \frac{6*5}{2*1}\\\\ 6 C 2 = \frac{30}{2}\\\\ 6 C 2 = 15\\\\[/tex]
This tells us there are 15 ways to pick the 2 freshmen from a pool of 6 total.
Repeat those steps for the other grade levels.
n = 13 sophomores, r = 5 selections leads to nCr = 13C5 = 1287. This is the number of ways to pick the sophomores.
You would follow the same type of steps shown above to get 1287. Let me know if you need to see these steps.
Similarly, 8C4 = 70 is the number of ways to pick the juniors.
Lastly, 14C3 = 364 is the number of ways to pick the seniors.
-----------------------------
To recap, we have...
15 ways to pick the freshmen1287 ways to pick the sophomores70 ways to pick the juniors364 ways to pick the seniorsMultiply out those values to get to the final answer.
15*1287*70*364 = 491,891,400
This massive number is a little under 492 million.
What is the surface area of the cylinder with height 4 yd and radius 5 yd? Round your answer to the nearest thousandth.
Answer:
282.743 yd²
Step-by-step explanation:
Surface Area of the Cylinder: Top Base + Bottom Base + Side
Area of Top Base (Circle): πr² = π(5 yd)² = 25π yd²
Area of Bottom Base (Circle): same as top base = 25π yd²
Area of Side (Rectangle): Circumference*Height = (2πr)*(4 yd) =
2π(5 yd)*(4 yd) = 40π yd²
Total Surface Area = 25π yd² + 25π yd² + 40π yd² = 90π yd² = 282.743 yd²
Write an expression for the area of the trapezium below.
Expand any brackets and fully simplify your answer.
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark. For the bottom line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark.
Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?
Group A, because seven children have a forearm length longer than 10 inches
Group B, because two children have a forearm length longer than 10 inches
Group A, because one child in the group has the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches
Answer:
Group A, because seven children have a forearm length longer than 10 inches
Step-by-step explanation:
Create the dot plots based on the given information (please see attached images).
Group A = blue dots
Group B = red dots
From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length. This is because 7 children have a forearm length of longer than 10 inches.
To calculate the average forearm length, sum all data values and divide by the total number of data values.
[tex]\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11[/tex]
[tex]\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9[/tex]
Thus proving that Group A has the longer average former length.
According to given text data
Average of both groups
A:-
10(3)+11(4)+12(3)/1030+44+36/1066+44/10110/1011B:-
9(3)+5(10)+11(2)/1027+50+22/1049+50/1099/109.9Group A has bigger average
Hii guys please answer this question
After how many places will the decimal expansion of 189/750 terminate ? Also write the decimal form
Answer:
3 decimal places; 189/750 = 0.252
Step-by-step explanation:
Answer:
3 decimal places.
189/750 = 0.252
Step-by-step explanation:
If you are allowed to use a calculator, you divide. 189/750 means 189 ÷ 750.
You will get 0.252, which is three decimal places. If you are not allowed to use a calculator, you must do long division. The 750 goes outside the dividing frame and the 189 goes inside. There is an unwritten decimal point after the 9 in 189. Since 750 does not go into 189, put 0. to begin and put zeros after the 189 to do the long division. See image. Hopefully you can just use a calculator.
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
[tex]\sqrt{4x-3}=5[/tex]
Answer:
x = 7
Step-by-step explanation:
[tex](\sqrt{4x-3} )^{2} =5^{2}[/tex]
[tex]4x-3=25[/tex]
[tex]4x=25+3[/tex]
[tex]x=\frac{28}{4}[/tex]
[tex]x=7[/tex]
Hope this helps
