Drag each tile to the correct box. Not all tiles will be used. Consider function f.
Answers
Answer:
Steps in order will be
[tex]1. y=\sqrt{7x-21}\\2. y^2=7x-21 \\ 3. y^2=7(x-3)\\4. \frac{y^2}{7}=x-3\\ 5. x=\frac{y^2}{7}+3\\6. f^{-1}(x)=\frac{1}{7}x^2+3 \:where\: x\geq 0[/tex]
Step-by-step explanation:
Consider the function [tex]f(x)=\sqrt{7x-21}[/tex]
We need to find [tex]f^{-1}(x)[/tex]
For finding [tex]f^{-1}(x)[/tex] replace f(x) with y
Step 1: Replace f(x) with y
[tex]y=\sqrt{7x-21}[/tex]
Now, solve for x
Step 2: Taking square on left side
[tex]y^2=(\sqrt{7x-21})^2\\y^2=7x-21[/tex]
Step 3 : take 7 common
[tex]y^2=7(x-3)[/tex]
Step 4 : Divide both sides by 7
[tex]\frac{y^2}{7}=x-3[/tex]
Step 5: Add 3 on both sides
[tex]\frac{y^2}{7}+3=x-3+3\\x=\frac{y^2}{7}+3[/tex]
Step 6: Replace x with y and x with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)=\frac{1}{7}x^2+3[/tex] where x≥0
Steps in order will be
[tex]1. y=\sqrt{7x-21}\\2. y^2=7x-21 \\ 3. y^2=7(x-3)\\4. \frac{y^2}{7}=x-3\\ 5. x=\frac{y^2}{7}+3\\6. f^{-1}(x)=\frac{1}{7}x^2+3 \:where\: x\geq 0[/tex]
Assuming one or 2 steps are missing in the diagram given.
Related Questions
what percent is 18 of 20
Answers
Answer:
90%
Step-by-step explanation:
[tex]\frac{18}{20} = \frac{90}{100}[/tex] [tex]\frac{90}{100} =[/tex] 90%I hope this helps!
Answer:
90%
Step-by-step explanation:
% itself means out of 100 so yea:
18/20 times 100
1800/20
90/100
90%
Another way u could do is just multiply a number that would make 20 into 100, so:
(18/20)5/5
90/100 = 90%
Please help me!! thank you!
Answers
Step by Step Explanation:
First, put the variables in and make sure to put them into parentheses;
4(3)-3(5)+2(3)(5) and multiply;
12-15+30 now use PEMDAS which since it's using only addition and subtraction you go from left to right;
12-15=-3 then add 30 to -3=27
Science question pls help
Answers
Answer:
dayton is the closest to it.
Is there a solution to 8,-5
Answers
Answer:
The solution is x = 8.
Step-by-step explanation:
Round 8,531.75 to the nearest 10.
Answers
Answer:
8,530
Step-by-step explanation:
8,531.75 rounds to 8,531 which rounds down to 8,530
The answer is 8,530.
ANSWER FAST PLEASE!
Ms. Barcht Open a savings account with $50 and deposit $25 every week. Mrs. Greene save $75 every week. How many weeks will Mrs. Greene have more money in her account than ms. Bracht?
A. 25x+75>50
B. 75x=25x+50
C. 75x>25x+50
D. 75x<25x+50
Answers
Answer:
C
Step-by-step explanation:
Ms. Barcht's savings account can be modeled with the expression
50 + 25x
Mrs. Greene's savings account can be modeled with the expression
75x
Since the question is how many weeks Mrs. Greene will have more money than Ms. Bracht. we use an inequality to contain the all the solutions.
Mrs.Greene > Ms. Bracht
75x > 25x + 50
Answer:
The answer would be C. 75x>25x+50
Step-by-step explanation:
The answer would be C. because Ms. Barcht started with $50 and deposits $25 every week while Mrs. Greene saves $75 a week. 7 days is a week so lets multiply $25 x 2 (2 weeks). Ms. Barcht would have $100 by the end of 2 weeks and Mrs. Greene would have $150 by the end of 2 weeks because $75x2 is $150
Hope this helps.
Wendy thinks the perfect chocolate chip cookie has 353535 chocolate chips for every 555 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100100100 chocolate chips and 151515 ounces of dough.
What will Wendy think about Cookie Club's cookies?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
They are too chocolatey.
(Choice B)
B
They are not chocolatey enough.
(Choice C)
C
They are just right.
Answers
Answer:
I would go with A.......
Answer:
i would go with B i got it from Khan
Step-by-step explanation:
Plz help, I’m not good at this!
If a dozen eggs cost $1.35 what I sent the unit cost, plz explain how to get the answer along with the answer
Plz don’t waste my points
Answers
Answer:
0.1125
Step-by-step explanation:
1.35 divided by 12 = 0.1125
Answer:
$0.11 per egg
Step-by-step explanation:
unit cost means how much each one costs
there are 12 eggs in a dozen
so all you have to do is divide $1.35 by 12
which equals $0.1125
but money is only counted by the hundredths place so we have to round
and that would be $0.11
hope this helps and plz mark brainliest :D
A French class has a total of 26 students. The number of females is 6 less than the number of males. How many males and how many females are in the class?
Answers
Answer:
Step-by-step explain:
total-females=males
26-6=20
there are 20 males in the class.
I got subtraction because it says less females.
Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (1, 5).
Answers
Answer:
4x-y+1=0
Step-by-step explanation:
here,given equation of a line id
4x-y-2=0.. eqn(i)
equation of any line parallel to line (i) is
4x-y+k=0...eqn(ii)
since, the line(ii) passes through (1,5)[replacing x=1 and y=5 in eqn(ii), we get]
4*1-5+k=0
or, 4-5+k=0
or,-1+k=0
•°•k=1
substituting the value of k=1 in eqn(ii),
4x-y+1=0 is the required equation of the line.
PLEASE HELP FAST ILL GIVE BRAINLIST! ITS MULTIPLE CHOICE
Answers
1/3x + 5 (x equals -6)
Answers
Answer:
3
Step-by-step explanation:
1/3x + 5, x = -6
1/3(-6) + 5
-6/3 + 5
-2 + 5
3
Let z=1+i where i^2=-1.calculate z^2 z^3 z^4
Answers
Answer:
[tex]0[/tex]
Step-by-step explanation:
[tex]i^2=-1[/tex]
[tex]i=-1[/tex]
Subsite i in for z
[tex]z=1+-1[/tex]
Add [tex]-1[/tex] to both sides
[tex]z=0[/tex]
Anything multiplied by 0 is just 0.
Jenny is getting some snacks for her road trip.Her total for her items is $36.84.If the sales tax is 4%,how much is her total cost?
Answers
p + 12 > 9
A. p > 21
B. p > 3
C. p > –21
D. p > –3
Answers
Answer:
D. p>-3
Step-by-step explanation:
step1
move 12 to the other side
p>9-12
when you move it changes it's sign from positive to negative
p>-3
James needs to buy shirts for his business. Company C charges customers a one-time $50 printing fee plus $10 for every shirt. Company D charges a one-time $20 printing fee plus $15 for every shirt. Which inequality can be used to find s, the minimum number of shirts that can be purchased so that the total charge at Company C is less than the total charge at Company D? 50s+10>20s+15 50s+10 20+15s
Answers
Answer:
50 + 10s > 20 + 15s
Step-by-step explanation:
This is the answer because if James pays for 1 shirt from company C he would be paying $60, but if he were to pay for 1 shirt at company D he would be paying $35. So that's why its >. Anyway, the s goes on the second number because that's the price for every shirt, And the first number is by itself because its a one-time printing fee.
ection 1
If Frances can paint of a wall in 20 minutes, how long will it take her to paint a room with 4 walls?
60 minutes
100 minutes
400 minutes
500 minutes
Answers
Nancy's morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends ⅓ of the total time in the morning getting dressed, 10 minutes eating breakfast, 5 minutes making her bed, and the remaining time driving to work. If Nancy spends 35 ½ minutes getting dressed, eating breakfast, and making her bed, how long is her drive to work?
Answers
Answer: 26 minutes
Step-by-step explanation:
Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.
Time getting dressed = ¹/₃x
Eating breakfast = 10 mins
Making bed = 5 mins
¹/₃x + 10 + 5 = 35 ½
¹/₃x + 15 = 35 ½
¹/₃x = 35 ½ - 15
¹/₃x = 20 ½
x = 20 ½ / ¹/₃
= 61.5 minutes
Total morning routine is is 61.5 mins
Time taken to drive to work is;
= 61.5 - 35 ½
= 26 minutes
PLEASE HELP!!!
I don't understand how to work this out...
if possible, please explain how you got your answer. It would be very helpful.
Thanks!!
Answers
9514 1404 393
Answer:
17.3%
Step-by-step explanation:
The rate of return is the net profit divided by the purchase price.
The purchase price was ...
(20 share) × ($30/share) = $600
The net proceeds from the sale were ...
proceeds = selling price - commission
= $710 -$6 = $704
So, the net profit is ...
profit = $704 -600 = $104
And the rate of return is ...
profit / investment = $104/$600 = 17.3%
3 = y + 3*
/
6
0
9 1
Answers
Which polynomial function has a leading coefficient of 2, root -4 with multiplicity 3, and root 10 with multiplicity 1?
O f(x) = 2(x-4)(x-4)(x - 4)(x + 10)
O fx) = 2(x + 4)(« + 4)(« + 4)(-10)
O f) =3K – 4)(«-4)0x + 10)
O f()= 3(x + 4)(x + 4)(K- 10)
Answers
Answer:
f(x) = 2(x+4)(x+4)(x+4)(x-10)
Step-by-step explanation:
Here, we want to write a polynomial function with leading coefficient of 2, root - 4 with multiplicity 3 ( meaning it appears 3 times);
and root 10 with multiplicity 1
If x = -4
Then in linear form, we have x + 4
if x = 10, in linear form, we have x -10
So the polynomial is;
f(x) = 2(x+4)(x+4)(x+4)(x-10)
If triangle ABC is similar to triangle DEF, what is the value of x?
12 cm
36 cm
15 cm
5 cm
Answers
Answer:
x = 15 cmStep-by-step explanation:
If triangle ABC is similar to triangle DEF, then:
[tex]\dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]
Therefore:
[tex]\dfrac{x}{5}=\dfrac{12}{4}\\\\\dfrac{x}{5}=3\\\\x=15[/tex]
Anniyah wants to order video games from Amazon. Each game cost $49.99 and shipping cost $5. Her momma will let her spend no more then $200, how many games could she buy?
Answers
Answer:
3 games
Step-by-step explanation:
she would still have over 40 dollars left over though
can someone also help me with this please and thankss
Answers
Answer: The measure of angle 3 is 50 degrees.
Step-by-step explanation:
We know that angle 2 is 130 degrees.
Angle 1 and angle 2 are verticle angles which means that they are across and equal to each other.
So angle 1 and angle 2 are 130 degrees.
Add up both angle 1 and angle 2, 130 + 130 = 260.
Now, all of these angles add up to be 360 degrees in total as they make a circle and there are 360 degrees in one.
Subtract 260 from 360, 360 - 260 = 100.
Since both angle 3 and angle 4 are also verticle angles we need to split the 100 degrees evenly, 100 ÷ 2 = 50.
So, angle 3 is 50 degrees.
The graph of a linear function is shown.
Which word describes the slope
Ty
O positive
• negative
• zero
• undefined
Answers
Answer:
C. zero
Step-by-step explanation:
The slope of horizontal line is always 0
What makes a problem a two-step equation?
A) The problem has two answers
B) The problem has three operations
C) The problem has two operations
D) The problem has two questions
Answers
Answer:
C) The problem has two operations
Step-by-step explanation:
Pls help me ill give you brainliest
Do both to get brainliest pls
Answers
Answer:
The first one is A or -11. The second one is A too.
Step-by-step explanation:
If you solve the first one for h you get the answer. If you plug in the numbers from the second question you get the answer.
#19:
[tex]5(h + 2) = -3(4 - h)\\\\5h + 10 = -12 + 3h\\\\2h + 10 = -12\\\\2h = -22\\\\h = -11[/tex]
The answer is A. -11.
#20:
We will use the following formula for this question:
Point-slope form: y - y₁ = m(x - x₁)In this form,
m = slope(x₁, y₁) = a point on the lineKnowing this, we can conclude that the answer is D. y + 3 = -3/4(x + 2).
Sue wakes up at 7:45 A.M. and jogs for 40 minutes. She then spends 45 minutes dressing for school before she catches the bus. At what time does Sue get on the bus?
Answers
Answer:
9:00
Step-by-step explanation:
Sue bought a bunch of snacks that each cost $2.50. Let y represent the total cost and x represent the number of snacks she bought. Pick which equation represents the proportional relationship between the total cost and the number of snacks she bought.
a. 2.50(y)=x
b. 2.50+y=x
c. 2.50(x)=y
d. 2.50+x=y
Answer=__________
Please I need this now!!!!!!!!!!!!!
Date : 12/11/2020
Answers
Answer:
the answer is letter c 2.50(x)=y
I WILL PICK BRAINLIST
Answers
Step-by-step explanation:
C.
π/9 is less than sqrt(9) / 3 which is 1. Also, this question is quite ambiguous, and the answer could be none, because sqrt(9)/3 can also be -1