If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex], then
[tex]f\left(f^{-1}(x)\right) = x[/tex]
by definition of inverse function. We have
[tex]f\left(f^{-1}(x)\right) = 2f^{-1}(x) + 10 = x[/tex]
Solve for the inverse :
[tex]2f^{-1}(x) + 10 = x \\\\ 2f^{-1}(x) = x-10 \\\\ \boxed{f^{-1}(x) = \dfrac{x-10}2}[/tex]
HELPPPP PLEASEEEDJDJSJNDN
Answer:
x=14/9
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
9x - 7 = -7
Add 7 on both sides so that 9x can be isolated9x - 7 + 7 = -7 + 7
9x = 0
Divide by 9 on both sides so x can be by itself9/9x = 0/9
x = 0
Solve for the value of P. Please!!
Select all ratios equivalent to 1:4.
I'm not too good at ratios and proportions, sorry
Which is greater 2/3 or 4/7
Answer:
2/3
Step-by-step explanation:
Its closer to one
Answer:
2/3
Step-by-step explanation:
2/3 = 14/21
4/7=12/21
it's considered theft when someone forces you to give them $1,000. why is it generally not considered theft when the government forces you to give them $1,000 in taxes?
Answer:
The government has more power than a normal person. I don't support what the government is doing but they do have power.
Calculus, second derivative. Please help! Show work, if possible please. Thanks! :)
Answer:
y''=sec^3(x)*csc(x)+sec^2(x)*tan(x)-2cot(x)*csc(x)*sec(x)*tan(x)+cot^2(x)*csc(x)*sec(x)+csc^3(x)*sec(x)
Step-by-step explanation:
we are given y= csc x sec x
We use the rule for multiplying derivatives and the knowledge that the derivative of csc is -csc*cot and the derivative of sec is sec*tan to get
csc(x)*sec(x)*tan(x)+sec(x)*-csc(x)*cot(x)
which simplifies to
csc(x)*sec(x)*tan(x)-sec(x)*csc(x)*cot(x)
Using the same rules again (in tedium so they are not listed but can be inferred) we find the second derivative is
sec^3(x)*csc(x)+sec^2(x)*tan(x)-2cot(x)*csc(x)*sec(x)*tan(x)+cot^2(x)*csc(x)*sec(x)+csc^3(x)*sec(x)
Maria and Ming start at the same point and drive in opposite directions.
Maria drives 40 mph and Ming drives 38 mph. How far apart will they be in
2 hours?
78 miles?
156 miles?
118 miles?
or 166 miles?
9514 1404 393
Answer:
(b) 156 miles
Step-by-step explanation:
In 2 hours, Marian will have driven 2×40 = 80 miles, and Ming will have driven 2×38 = 76 miles. The distance between them is ...
80 mi + 76 mi = 156 mi
The drivers will be 156 miles apart in 2 hours.
The average vertical jump for a player on the high school basketball team is 30 inches. The actual height varies by
at most 2 inches. Write and inequality that gives the range of the actual height h (in inches) of the players' verticals.
Answer: 28 <= h <= 32
Step-by-step explanation:
the actual height can be at most 2inches higher or lower than the average
A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of 19 4/5 liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) Simplify and give your answer as a simplified mixed number. (c) What is the change in volume of the solution after 10 minutes? Show necessary work. Give your answer as a simplified mixed number.
The change in volume per minute and the total change in the volume of the solution after 10 minutes will be [tex] - 3 \frac {1}{20} \: litres [/tex] and [tex]- 30 \frac {1}{2} \: litres [/tex] respectively.
Entry rate = [tex] 16 \frac{3}{4} [/tex] per minute Discharge rate = [tex] 19 \frac{4}{5} [/tex] per minuteChange in the volume of solution in the tank per minute can be calculated thus :
Change in volume = (Entry rate - Discharge rate) × time [tex] 16 \frac{3}{4} - 19 \frac{4}{5} = \frac{67}{4} - \frac{99}{5} = \frac{(335 - 396)}{20} = \frac{-61}{20} = - 3\frac{1}{20} \: litres \: per \: minute [/tex]The total change in the volume of solution in the tank after 10 minutes can be calculated thus :
Change in volume per minute × time [tex] - \frac{61}{20} \times 10 = - \frac{610}{20} = - 30 \frac {1}{2} \: litres [/tex]Therefore, the solution in the tank decreases by [tex] 30 \frac {1}{2} \: litres [/tex] after 10 minutes
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it has a slope of -7 and passestrough the point (-3,16)
Answer:
y = -7x - 5
Step-by-step explanation:
y-intercept= 16 - (-7) (-3) = - 5
Write the equation of the parabola in vertex form.
vertex (3,3), point (2, - 1)
Step-by-step explanation:
The vertex form of a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the vertex of the parabola. So we can write our parabola as
[tex]y = a(x - 3)^2 + 3[/tex]
We know that our curve goes through the point (2, -1) so we can solve for the constant a as follows:
[tex]-1 = a(2 - 3)^2 + 3 \Rightarrow -1 = a + 3[/tex]
or
[tex]a = -4[/tex]
Therefore, the vertex form of the equation for the parabola is
[tex]y = -4(x - 3)^2 + 3[/tex]
a car travels at an average speed of 64 miles per hour. How long does it take to travel in 3 hours and 30 minute
Answer:
4 hours and 30 minutes 288/64 = 4,5
Step-by-step explanation:
Konnichiwa!
Question:
What's 1/4 divided by 2/6?
Answer:
6/8
Step-by-step explanation:
you have to multiply by the reciprocal so 1/4 x 6/2 which is 6/8
I need help with this
Answer:
ul and lw
Step-by-step explanation:
it is very easy answer there is no need of explanation for this answer
Please help me ASAP
HELP LAST ATTEMPT !!!!!?
Answer:
180=34+4x+90
180=124+4x
4x=56
X=14
please help me solve this !
will mark brainliest !
(spammers reported)
Answer
-10
Step-by-step explanation:
-8w-7=9
add 7 to both sides
-8w=16
divide by negative 8 on both sides
w=-2
w-8=-10
On simplifying,
-8w - 7 = 9
-8w = 16
w = -2
then,
= w - 8
= -2 - 8
= -10.
I have 18 tens and 22 ones what am
I
Answer:
A number. :) lol
Step-by-step explanation:
Evaluate.
8(19−6⋅2)
enter the answer in the checkbox.
Answer:
102.4
Step-by-step explanation:
8(19-6.2)
8(12.8)
102.4
Answer:
102.4
Step-by-step explanation:
I looked it up on mathaway there is no explanation
Point upper D left parenthesis negative 3 comma 5 right parenthesis. is a vertex of triangle DEF. After a rotation of the triangle about the origin, upper D prime is located at left parenthesis 3 comma negative 5 right parenthesis. Which of the following was the rotation of the triangle?
The rotation that the triangle DEF underwent is defined as follows:
180º around the origin.
RotationA rotation is one example of transformation that a function can undergo, along with transformation, compression, stretching, dilation or reflection.
A rotation changes the inclination of the figure, and the rules for each rotation are given as follows:
90° clockwise rotation: (x,y) -> (y,-x)90° counterclockwise rotation: (x,y) -> (-y,x)180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y)270° clockwise rotation: (x,y) -> (-y,x)270° counterclockwise rotation: (x,y) -> (y,-x)In this problem, the coordinates are given as follows:
Original: (-3,5).Image: (3,-5).Hence the rule is:
(x,y) -> (-x, -y).
Meaning that a rotation of 180º around the origin was done.
More can be learned about rotation at https://brainly.com/question/26249005
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Help I'm not good at this :))
Step-by-step explanation:
1 yes it is rational
2 not
3yes
4 not
5 yes
Show how to work the division problem 47 divided by 8 please
Answer:
Step-by-step explanation:
47 divided by 8
= 5.875
hope this helps
Solve for t in 2^t²- t= 4
Answer:
t= -1/2 ,t=4
Step-by-step explanation:
2t^2- t -4 =0
2t^2 - 8t+t -4=0
(we have to find the factor here. I have used The Product Sum method of factorization)
2t( t-4) + 1( t-4)=0
(2t+1) (t-4)=0
t= -1/2 ,t=4
What's 9+10
If you did a 6 foot hole how deep is that hole
How do you spell red
Answer:
1.) 9+10=21
2.) about like. . . 20 feet
3.)L S T E R
Given that (1,-8) is on the graph of f(x), find the
corresponding point for the function
1
f(x).
2
Enter the correct answer.
DOHO
DONE
Clear all
#OO
Answer:The graph of y = f(x-2) is the graph of y = f(x) translated two units rightward.
So, since the point (9,2) lies on the graph of y = f(x), the point (11,2) lies on the graph of y = f(x-2).
Step-by-step explanation:
Write an equation for a line that passes through the points (1, 2) and (11, 22). The form is your choice.
y=mx+b
-3=3(3)+b
-3=9+b
-12=b
Which of these is the smallest number?
A. 1 1/2 ( one and one over two)
B. 1/3
C. 1 1/10 (one and one over ten)
D. 1/4
E. 1/2
Answer:
B this is the smallest number
Internet rates for two companies are shown in the table. After how many months of
service is the total cost the same no matter which company is used? What is this total
cost?
Intemet Service Provide
Charges
Tyson's Ethernet $100 activation fee plus $20 per month
Darriana's DSL
$30 per month
A 10 months, $300
B 20 months, $600
C 30 months, $700
D 2 months, $60
100+(20×10)=300
30×10 =300
months = 10
The total cost becomes the same after 20 months of service, and the total cost is $600.
To find out when the total cost becomes the same for both companies, we need to compare their cumulative costs over time.
Tyson's Ethernet has an activation fee of $100 plus $20 per month, while Darriana's DSL costs $30 per month.
Let's set up equations for both companies:
For Tyson's Ethernet:
Total cost = Activation fee + Monthly charges
Total cost = $100 + ($20/month) * months
For Darriana's DSL:
Total cost = Monthly charges
Total cost = ($30/month) * months
We want to find when these two total costs are equal:
$100 + ($20/month) * months = ($30/month) * months
Now we can solve for the number of months:
$100 + ($20/month) * months = ($30/month) * months
$100 = ($30/month - $20/month) * months
$100 = $10/month * months
months = $100 / $10
months = 10
So, it takes 10 months for the costs to be equal. Now let's find the total cost at that point:
Total cost = ($30/month) * months
Total cost = ($30/month) * 20 months
Total cost = $600
Therefore, after 20 months of service, the total cost is the same for both companies, and the total cost is $600.
To know more about Total Cost here
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Stuck on this problem can someone please help
Answer:
b
Step-by-step explanation:
Answer:
it have to D
Step-by-step explanation:
graph the linear equation
y+2=-3(x+2)
Here is how your graph should look. Make sure to plot (0,-8) as your y-intercept.
Hope this can help ! :)