f−1(f(x)) = f(f−1(x)) =
Given:
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]
To find:
The missing value.
Solution:
We have,
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex] ...(i)
We know that, if [tex]f(x)[/tex] is a function and [tex]f^{-1}(x)[/tex] is its inverse function, then
[tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex] ...(ii)
From (i) and (ii), we get
Missing value = [tex]x[/tex]
Therefore, the missing value is [tex]x[/tex], i.e., [tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex].
A peacock walks 6 feet in 15 seconds how many feet can a peacock walk in 98 seconds?
Answer:
[tex]Distance = 39.2[/tex]
Step-by-step explanation:
Given
[tex]Distance = 6ft;\\ Time = 15seconds[/tex]
Required
Determine the distance covered in 98 seconds
To solve this, the following assumption must be made:
The peacock walks at a constant speedSo, first we calculate the speed
[tex]Speed = \frac{Distance}{Time}[/tex]
Substitute 6 for Distance and 15 for Time
[tex]Speed = \frac{6}{15}[/tex]
[tex]Speed = 0.40[/tex]
Next, is to calculate the required distance
[tex]Speed = \frac{Distance}{Time}[/tex]
In this case:
[tex]Speed = 0.40[/tex] because it is constant and
[tex]Time = 98[/tex]
The expression becomes:
[tex]0.40 = \frac{Distance}{98}[/tex]
Make Distance the subject:
[tex]Distance = 0.40 * 98[/tex]
[tex]Distance = 39.2[/tex]
The peacock will walk 39.2 feet in 98 seconds
(Will mark brainlest Help please)out of 800 students at icenhower intermediate 208 live inside the city of mansfield
Answer:
Doesn't this mean that 592 students live outside the city of mansfield?
Step-by-step explanation:
800 - 208
possible number of extrema a 4th degree polynomial could have is:
A. 3 or 1 extrema
B. 4 or 2 extrema
C. 5 extrema
D. none
Answer:
A
Step-by-step explanation:
What temperature is halfway between 0 and 14 degrees
Answer:
7°
Step-by-step explanation:
you get the minimum +the maximum ÷ 2
so : (0+14)÷2 =7°
determine if the 2 triangles are similar or not. if they are similar choose the correct similarity theorem below.
A
B
C
D
Angie has a car worth $18,200. She has $525 in cash, and $2,800 in her savings account. Her only debt is the loan she took out to buy the car. If angie's net worth is $9,025, what is the amount of her loan? answer Choice: A. $5,850 B. $9,025 C. $11,825 D. $12,500. Please help:)
Step-by-step explanation:
18,200
-12,350
5,850 (A) 5,850
-2 (x + 4) – (3x – 8)
What it equals
Answer:
-2x+-8-3x-8
Step-by-step explanation:
-2 times x =-2x
-2 times 4=-8
Answer:
x
Step-by-step explanation:
-2 (x + 4) – (3x – 8)
-2x-8-3x+8
x+0
x
Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.
Answer:
-2
Step-by-step explanation:
ur welcome
-1
Step-By step Explanation:
9(2n+1) simplify expression I will mark brainliest correct answer
Answer:
18n+9 i think
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Answer:
6,-4
Step-by-step explanation:
Answer:
i think the answer is (6,-4) I'm not sure
Step-by-step explanation:
when reflecting the it across the x-axis it is going directly across which means it would be (x,y)-> (6,-4)
show the steps on how to use the distributive property to evalute 9·67
Answer:
6.oz I will ply to get a
Step-by-step explanation:
ok is the only
Answer:
Step-by-step explanation:
9(67)=9(70-3)=
what is this answer!!!!!!!!
Step-by-step explanation:
what is this answer
(3x + 40) + (5x - 52) = 180°
8x - 12 = 180°
8x = 180 + 12
8x = 192
8x = 24
x = 3
Three vehicles recorded the following information about their trips.
Van: 500 miles in 7.5 hours
Truck: 300 miles in 5 hours
Car: 400 miles in 5.5 hours
Find the unit rate of miles/hour for the Van.
Answer:96km in 1 hour requires a speed of 96km/h; 96km in 2 hours requires a speed of 96/2=48km/h.
You can travel at any speed between 48km/h and 96km/h to arrive in between 1 and 2 hours.
There is no sufficient info to solve the problem and answer the question.
Also, this fragment "Two bikers started at the same," is a nonsense, not allowable in Math.
Find the antiderivative of the velocity function.
1 rotation = 2pi radians = 2*3.14 radians = 6.28 radians
1 rotation per 8 seconds is the angular velocity 2pi%2F8 radians per second = 6.28%2F8 = 0.785 radians per second
hope this is helpful
Find the missing angles
Please try to give a good explanation so I can learn how it was done! Thank you
Answer:
Explained below.
Step-by-step explanation:
1. Bisecting splits an angle into two equal parts. Angle 2 and 3 are now equal.
2. And since it is a right angle, both angles are 45 degrees.
3. All triangle angles will ALWAYS add up to 180.
4. Angle 4 = 180 - 45 (Angle 3) -83.
Angle 4 = 52.
5. Do same thing for Angle 1.
6. Angle 1 = 180 - 45 (Angle 2) - 48
Angle 1 = 87.
Final answers.
1. 87 degrees
2. 45 degrees.
3. 45 degrees.
4. 52 degrees.
A store buys purses for $24.50 and then marks them up 25%. The store then discounts any purses that do not sell in the first month by 10%. Find the sales price of the purse that do not sell in the first month
Answer:$27,57
1)find out how much wallets cost in the first month:
24,50 -100%
х - 125%
х= 24,50*125/100 ≈ 30,63
2)we will find out how much the wallets cost after the price is reduced by 10%:
30,63 - 100%
х -90%
х=30,63*90/100 ≈ 27,57
Step-by-step explanation:
Find the mean, median, and mode of the data set 8 2 7 2 6
Answer:
Mean=5
Median=6
Mode=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
mode: 2
median: 6
mean: 8 + 2 + 7 + 2 + 6 = 17 + 8 = 25/5 = 5
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
Which of the following formulas correctly solves for F?
F = 9 over 5C + 32
F = 9 over 5C − 32
F = 9C + 32 over 5
F = 9C − 32 over 5
Answer:
F = 9 over 5C + 32
Step-by-step explanation:
Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.
C = 5 over 9(F − 32)
C = 5/9 (F − 32)
To solve for F, first, we will multiply both sides by 9/5.
C × 9/5 = 5/9 (F − 32) × 9/5
9/5 C = F − 32
Now, we add 32 to both sides.
9/5 C + 32 = F − 32 + 32
9/5 C + 32 = F
F = 9 over 5C + 32
Answer:
F = 9 over 5C + 32
Step-by-step explanation:
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
a. y=
b. y=
Answer:
(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2
Step-by-step explanation:
Slope "m" of given line is
m = - 4
Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]
P(4, 3)
y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )
(a). y - 3 = - 4 (x - 4)
y = - 4x + 19
(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )
y = [tex]\frac{1}{4}[/tex] x + 2
6a-2z
Please help me
Answer:
2(3a-z)
cannot be further simplified
Step-by-step explanation:
The original cost of a sofa was $600. If it was discounted 40% and sales tax is 8%, what is the final cost of the sofa
Answer:
$312
Step-by-step explanation:
10% of $600 is $60
So $60*4=$240
$600-$240=$360
1%=$6
So $6*8=$48
$360-$48=$312
In a class of 25 students, 9 have a cat and 8 have a dog. There are 2 students who have a cat and a dog. What is the probability that a student has a cat given that they do not have a dog?
Answer:
20 + 14 = 34, there there are only 29 students, so 34 - 29 or 5 have both a dog and a cat
15 have only a dog
5 have a dog and a cat
9 have only a cat
Step-by-step explanation:
The probability that a student has a cat given that they do not have a dog is 3/5
What is probability ?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
According to the question,
The number of student who do not have a dog is
25 - ( 8 + 2 ) = 15
9 have a cat { do not have a dog is a prerequisite }
So the probability that a student has a cat given that they do not have a dog = 9/15
= 3/5
To learn more about probability from here
https://brainly.in/question/3144050
#SPJ2
Which of these is a point-slope equation of the line that is perpendicular to
y- 25 =2(x- 10) and passes through (-3, 7)?
A. y-7= -2(x+ 3)
B. y+7=--3)
C.y-7- -x+3)
D. y+7 = 2(x- 3)
Given:
Equation of line is [tex]y-25=2(x-10)[/tex].
A line is perpendicular to the given line and passes through (-3,7).
To find:
The point slope form of the perpendicular line.
Solution:
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex] ...(i)
where, [tex](x_1,y_1)[/tex] is the point from which the line is passing through and m is slope.
We have,
[tex]y-25=2(x-10)[/tex] ...(ii)
From (i) and (ii), we get
[tex]m_1=2[/tex]
Product of slopes of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]2\times m_2=-1[/tex]
[tex]m_2=-\dfrac{1}{2}[/tex]
So, slope of perpendicular line is [tex]-\dfrac{1}{2}[/tex].
Point slope form of the perpendicular line is
[tex]y-(7)=-\dfrac{1}{2}(x-(-3))[/tex]
[tex]y-7=-\dfrac{1}{2}(x+3)[/tex]
Therefore, the correct option is C.
Let $p$ and $q$ be the two distinct solutions to the equation $$(x-3)(x+3) = 21x - 63.$$
If $p > q$, what is the value of $p - q$?
Given:
p and q are the two distinct solutions to the equation
[tex](x-3)(x+3)=21x-63[/tex]
To find:
The value of p-q if p>q.
Solution:
We have,
[tex](x-3)(x+3)=21x-63[/tex]
[tex](x-3)(x+3)=21(x-3)[/tex]
[tex](x-3)(x+3)-21(x-3)=0[/tex]
[tex](x-3)(x+3-21)=0[/tex]
[tex](x-3)(x-18)=0[/tex]
Using zero product property, we get
[tex]x-3=0\text{ and }x-18=0[/tex]
[tex]x=3\text{ and }x=18[/tex]
Here, 18>3, so p=18 and q=3.
Now,
[tex]p-q=18-3[/tex]
[tex]p-q=12[/tex]
Therefore, the value of p-q is 12.
Answer:
The answer is 5, the "Expert Verified" is wrong :)
Step-by-step explanation:
First we try factoring the left side to simplify it. Now we can multiply both sides by (x+5)and solve.
i really need help asap
Answer:
-7=k
Step-by-step explanation:
5k-3k-2=-16
2k-2=-16
2k=-14
k=-7
Your bill at the restaurant has total of 23.50. You received fantastic service from your server and would like to leave a 20% tip
Answer:
28.2
Step-by-step explanation:
Answer:
20% is 4.70
New total with tip = 28.20
Step-by-step explanation:
23.50 x .20
4.70
Plz help plz I’m begging I will give brainliest
Answer:
B is the answer.
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.
(can i get brainliest now)
lb = 64 oz Helppppppppppppp me
[tex]5[/tex]
Answer:
no u
Step-by-step explanation: no no no no no no no no no
Find the area and perimeter of the square using formula and
the given dimensions.
A square with a side length of 13 meters.
A P = 22 m, A = 129 sq. m
B P = 42 m, A = 159 sq. m
C P = 52 m, A = 169 sq. m
D P = 32 m, A = 189 sq. m
Answer:
A= l×l
= 13×13
A= 169
P= 4l
= 4×13
= 52
so the answer is C
What’s the zero of the function on the graph PLEASE
Answer:
B) x = -5
Step-by-step explanation:
The zero of a graph is the inputted value in which the output is 0. Therefore, we must find the x-value that makes the y-value be 0. In the graph, we see that y = 0 at (-5, 0). The x-value of the coordinate (-5, 0) is -5. Therefore, the zero of the function in the graph is x = -5.
I hope this helps! :)