Drag each tile to the correct box. Not all tiles will be used.
Consider function f.
Place the steps for finding in the correct order.
Answers
The steps to find the inverse function are given in the development of the answer of this problem.
How to find the inverse function?The inverse of a function y = f(x) is found exchanging x and y and isolating y.
In this problem, the function is:
[tex]f(x) = \sqrt{7x - 21}[/tex]
Then the steps to find the inverse function is given as follows:
[tex]y = \sqrt{7x - 21}[/tex]
[tex]x = \sqrt{7y - 21}[/tex]
[tex]x^2 = 7y - 21[/tex]
[tex]x^2 + 21 = 7y[/tex]
[tex]\frac{1}{7}x^2 + 3 = y[/tex]
[tex]\frac{1}{7}x^2 + 3 = f^{-1}(x)[/tex], where [tex]x \geq 0[/tex].
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Related Questions
Juniors and seniors were surveyed about whether they plan to attend a school dance.
94 out of 130 juniors plan to attend.
12 out of 140 seniors do not plan to attend.
The following table shows the results.
(see attachment for table)
What mistake was made in the table?
A. The total for the number of seniors is incorrect
B. The responses for the juniors are reversed
C. The number of juniors attending is incorrect
D. The responses for the seniors is incorrect
Answers
Answer:
The responses for the seniors are reversed.
Hope this helped!
a women is 34 years older than her dauhter eiht years ago she was 3 times as old as her daughter what is the age of her daughter now?
Answers
Answer:
The daughter is 14 years old
Step-by-step explanation:
34＋8＝42
42÷3=14
There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi,
and 1 passionfruit. You ask a friend to bring you a piece of fruit. What is the probability of them bringing you an apple?
Answers
The probability of bringing an apple is 0.20
How to determine the probability?The distribution of the fruits is given as:
3 apples2 bananas4 oranges5 kiwi,1 passion fruit.The probability of bringing an apple is:
P(Apple) = Apple/Total
This gives
P(Apple) = 3/(3 + 2 + 4 + 5 + 1)
Evaluate
P(Apple) = 0.20
Hence, the probability of bringing an apple is 0.20
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A rectangle has perimeter 16 m. Express the area A (in m2) of the rectangle as a function of the length, L, of one of its sides.
Answers
The area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²
What is the perimeter of a rectangle?The perimeter of a rectangle is P = 2(L + W) where
L = length of the rectangle and W = width of the rectangleGiven that P = 16 m,
P = 2(L + W)
16 = 2(L + W)
16/2 = L + W
L + W = 8
So, W = 8 - L
What is the area of the rectangle?
The area of the rectangle, A = LW where
L = length of the rectangle and W = width of the rectangleSince W = 8 - L, substituting W into the equation for A, we have
A = LW
A = L(8 - L)
A = 8L - L²
So, the area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²
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Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in mile per hour is each traveling
Answers
Vivian is traveling at 6 Noelle per hour and Noelle is traveling at x+5 = 11 Noelle per hour.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Vivian and Noelle both leave the park at the same time, but in opposite directions, their total distance is the 136
Let Vivian's speed be = x
Let Noelle's speed be = x+5
They each can travel for 8 hours
so time = 8 hours
Distance = speed × time
136 = x(8) + (x+ 5) 8
136 = 8x + 8x + 40
96 = 16x
x = 6
So, Vivian is traveling at 6 Noelle per hour and Noelle is traveling at x+5 = 11 Noelle per hour.
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look at the attachments
the last one at the bottomm c is200
please i really need help its khan
Answers
Answer:
all I know is the second on about world population in 2014 which was c
7•10⁹
Answer:
B
B
Step-by-step explanation:
there are 9 steps for the second question so it 10^9
and if you times the 1st population size by 20 you get very close to the second population size.
Find the vertex and focus of the
parabola:
y²-10y + 4x + 21 = 0
Vertex = ([?],
[]
Focus=([], [])
Answers
Answer:
Vertex: (1, 5)
Focus: (0, 5)
Step-by-step explanation:
Given that the parabola's equation is y² - 10y + 4x + 21 = 0, solve for the vertex and the focus.
Vertex:
Step 1: Isolate x to the left side of the equation; we get x = - (y² / 4) + (5y / 2) - (21 / 4).
Step 2: Complete the square of the previous equation; here we get - (1 / 4) * (y - 5)² + 1. x is squal to this.
Step 3: Use the vertex form, x = a(y - k)² + 1. a is - 1 / 4, h is 1, and k is 5.
Step 4: Fill in (h, k). We get the answer (1, 5) as the vertex.
Focus:
Step 1: Find p, and distance from the vertex to the focus. We can find p by using 1 / (4a).
Step 2: Simplify. This gives us -1 as p.
Step 3: We plug in the values we just got earlier to get the vertex. The focus of a parabola can be found by using: (h + p, k).
Step 4: Substitude the values. We have (1 + -1, 5).
Step 5: Simplify. Therefore, the answer is (0, 5).
This took me a long time to calculate. Please mark me as Brainliest!!!This uservabove me did it all for you. I don't have much to say...
One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The
ratio of the perimeter of the smaller polygon to the larger is
021
01/2
014
Answers
Answer:
the largest is 014 because I did it and the teacher said it is correct
Step-by-step explanation:
teacher checked work
If a hotel decreases the price of its rooms from $80 to $40. As a result, the total quantity demanded of its service increased from 2000 to 4000. Which type of price elasticity of demand does the hotel room have?
a.
Elastic
b.
Inelastic
c.
Perfectly inelastic
d.
Unitary
Answers
PLEASE HELP ME WITH THIS
Answers
Answer:
Decreases
Step-by-step explanation:
A negative correlation means the y is big when the x is small. As x gets bigger, y gets smaller.
the graph below shows the hourly wage of tina when she was working summer from high school through collage
Answers
The years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
Calculating rate of payFrom the question, we are to determine the years in which her raise was more than $0.50 an hour over the previous year
Considering the graph
From year 2001 to 2002Her raise was $6.50 - $5.50 = $1.00
From year 2002 to 2003Her raise was $7.00 - $6.50 = $0.50
From year 2003 to 2004Her raise was $7.75 - $7.00 = $0.75
From year 2004 to 2005Her raise was $8.50 - $7.75 = $0.75
From year 2005 to 2006Her raise was $10.50 - $8.50 = $2.00
From year 2006 to 2007Her raise was $11.50 - $10.50 = $1.00
Hence, the years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
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2,753 people go to a concert and tickets cost $5 each. If it costs $8,000 to put on the concert, how much money was made?
Answers
Answer:
Money made by tickets=
2753 x $5 = $13765
We have to subtract the cost of the concert from the money made by tickets to get our profit. Therefore,
$13765 - $8000 = $5765
A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 2 of the recall, the manufacturer fixed 192 cars. In week 4, manufacturer fixed 184 cars. Assume that the reduction in the number of cars each week is linear. Write an equation in function form to show the number of cars seen each week at the mechanic.
f(x) = 4x + 200
f(x) = 2x + 192
f(x) = −4x + 200
f(x) = −2x + 192
Answers
Answer:
the answer is f(x)=2x+192
Answer:
The answer is F(x)=2x+192
urgent please help with this function!!
Answers
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
-2 works in the second equation because it is within the restrictions, therefore it is 0.
4 works in the third equation because it is within those restrictions, therefor it is -4.
Name a career that require data -analysis skills describe how data analysis skills describe how date analysis is used in this career be sepcific when typical values are given for salaries and housing prices the median is almost always given instead of mean.
Answers
A career as a Data Scientist would require data analysis skills.
What is the career for data analysis?1) A career as a Data Scientist would require data analysis skills.
2) The Data Scientist computes and analyzes large amounts of data from different sources and then uses the results for interpretations. The skills required by a data scientist are skills In Statistics, calculus, Probability, Programming, Excel, Visualization, Database management, and Machine Learning. He also needs a high level of accuracy when solving problems.
3) The median value is used when the data set contains values that occur repeatedly and which contains some extremely high values. The mean value would aggravate towards higher values while the Median value would give a salary value that is an average of the data set. That is why the median value is used in salaries and housing prices calculations.
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helooooooo
bnbdnndnmfmfnfncncncncnncnc....
Answers
Answer: I dont really understand your questions
Step-by-step explanation: find the solution to your problem
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.
Answers
Answer:
see below
Step-by-step explanation:
Acid in = acid out acid out = 10 liters of 20% = .2 * 10 = 2
x = 5% amount
10-x = 40% amount
.05x + .40 ( 10-x) = .20 (10)
.05x + 4 - .4x = 2
-.35x = -2
x = 5.7 liters of 5 % 10 - 5.7 = 4.3 liters of 40%
Which two activities are examples of data collecting?
A. Using the results of a race to predict who will win future races
B. Weighing dogs
C. Graphing the lengths of fish in a pond
D. Asking people what their favorite show is
Answers
Answer:
C and D.
Step-by-step explanation:
In option C, they are collecting data about the lengths of fish in a pond.
In option D, they are collecting data about people's favorite show.
Hope this helps!
If not, I am sorry.
Which table represents an arithmetic sequence?
Answers
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.
What is arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₓ = a₁ + (x-1)d
where d is the difference and a₁ is the first term of the sequence.
For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.
For the first table, the difference between the first two terms is -6, while for the next two terms it is -12. Thus, it is not an arithmetic sequence.In the second table, the difference between the first two terms is 2 while the difference between the next two terms is 4. Thus, it is not an arithmetic sequence.In the third table, the difference between the first two terms is 1.4, the difference between the next two terms is 1.4. Also, it last two terms the difference is 1.4. Thus, it is an arithmetic sequence.Hence, the table that represents an arithmetic sequence is the third table.
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raios of 3 The ratboys to 5 girls
Answers
sec(pi/2 -x) =csc x true or false
Answers
Answer:
true
Step-by-step explanation:
if you rewrite [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] with trigonometric identities:
[tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] [tex]=\frac{1}{\sin \left(x\right)}[/tex]
[tex]\frac{1}{\sin \left(x\right)}[/tex] [tex]=\csc \left(x\right)[/tex]
so, yes, [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] [tex]=\csc \left(x\right)[/tex]
hope this helps!!
Sven makes bread rolls, he uses rye flour and wheat flour to the ratio 2:3. sven makes bread rolls using 250 g of rye flour, what mass of wheat flour does he use
Answers
2/2=1 part
250/2 = 125
so one part = 125g
125*3= 375
he uses 375g of wheat flour
What are the soultions of the equation x^4 - 9x^2 + 8 = 0? Use u substitution to solve.
Answers
Step-by-step explanation:
Let u=x^2.
Notice that
[tex] {x}^{4} - 9 {x}^{2} + 8 = 0[/tex]
[tex]( {x}^{2} ) {}^{2} - 9( {x}^{2} ) + 8 = 0[/tex]
[tex]u {}^{2} - 9u + 8 = 0[/tex]
[tex](u - 8)(u - 1) = 0[/tex]
[tex]u = 8[/tex]
[tex]u = 1[/tex]
Replace x^2= u
[tex] {x}^{2} = 8[/tex]
[tex]x = ±2 \sqrt{2} [/tex]
[tex] {x}^{2} = 1[/tex]
[tex]x = ±1[/tex]
So our answer is
[tex]±1 \: [/tex]
and
[tex]±2 \sqrt{2} [/tex]
Where does f(x) = 3x2 – 11x – 4 intersect the x-axis?
Answers
Answer:[tex]x=-\frac{1}{3}, 4[/tex]
Step-by-step explanation:
Graphs intersect the x-axis where y=0, so we can set f(x)=0.
[tex]3x^2 - 11x-4=0 \\ \\ (3x+1)(x-4)=0 \\ \\ x=-\frac{1}{3}, 4[/tex]
Answer:
negative x intercept is at -1/3
positive x intercept 4
Step-by-step explanation:
Determine the measure of each indicated angle. Show all necessary steps!
Answers
The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.
What is the sum of all the angles of a regular polygon?
For a regular polygon of any number of sides, the sum of its exterior angle is 360°.
We already know that a 4-sided polygon's angles add up to 360 degrees.
So to find the value of x:
69 + 118 + 84 + x = 360
x = 360 - (69 + 118 + 84)
x = 89 degrees
b)
For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.
So to find the value of p:
100 + 62 + 106 + p = 360
p = 360 - (100 + 62 + 106)
p = 92 degrees
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If math 7x+10y=−3 is a true equation, what would be the value of 21x+30y?
Answers
The value of the expression 21x + 30y is -9
How to evaluate the expression?The equation is given as:
7x+10y=−3
Multiply both sides by 3
3 * 7x + 3 * 10y=−3 * 3
Evaluate the product
21x + 30y = -9
Hence, the value of the expression 21x + 30y is -9
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find the area and perimeter of the figures
Answers
Answer:
6x+6 or 4x+10
Step-by-step explanation:
hope u like it
Answer:
a) 196cm^2
b) 225cm^2
c) 180 cm^2
Step-by-step explanation:
a) The figure is a square, so you can use the formula: a = l^2, or area equals length of one side squared.
a = (14cm)^2
a = 196cm^2
b) a = (15cm)^2
a = 225cm^2
c) This one is a parallelogram, so it's trickier. However, we can imagine the figure as a rectangle by taking the small triangle that sticks out on the right and putting it into the gap in the left. Now, we can solve this using the formula for a rectangle: a = l x w.
a = l x w
a = 18cm x 10 cm = 180 cm^2
:)
Finding the LCM of algebraic term and algebraic expressions.
Answers
Answer:
The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. x + 3 is a factor in the first expressions is therefore used.
Step-by-step explanation:
Factorise completely
qn: 12axy + 8bxy + 4xy
Answers
Answer:
Step-by-step explanation:
Answer:
4xy(3a+2b+1)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?
It is 4.
2 - What is the highest degree of [tex]a[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since a is not in every term.
3 - What is the highest degree of [tex]x[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is x.
4 - What is the highest degree of [tex]y[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is y.
5 - What is the highest degree of [tex]b[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since [tex]b[/tex] is not in every term.
6 - Multiplying the results above,
GCF = 4xy
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )[/tex]
3) Simplify each term in parentheses.
[tex]4xy(3a+2b+1)[/tex]
REARRANGE EQUATIONS PLEASE HELP ITS DUE IN TOMORROW
Answers
Answer:
from top to bottom:
x = y(v-w)
x = (yv/w)/2
x = (6+w)/v
x = (y-2w)/v
Step-by-step explanation:
