If f(x) = 2x + 10, then f^-1(x) =
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]
133.5 divided by 5 show work!
Answer
answer is in the attachment.
Step-by-step explanation:
hope it helps
which number line shows the following number plotted correctly -0.5,7/4,0.75,-9/4
D, Because there are two negative numbers must be before zero and three positive numbers must be after zero so the right answer is D i'm sure
-0.5 is between -1 and 0
7/4 = 1.75 is between 1.5 and 2
0.75 is between 0 and 1
-9/4 = -2.25 is after -2
1.25 is between 1 and 1.5
You have 10 blue shirts and r red shirts.
What expression shows your total number of shirts?
A park ranger spent $120 to buy 8 trees. Redwood trees cost $20 and spruce trees cost $12
each. How many of each tree did the park ranger buy?|
Answer:
3 Redwood trees
5 Spruce trees
Step-by-step explanation:
help pls!
Give some examples of taxation:
Answer:
IN THE EXPLANATION!!
Step-by-step explanation:
income tax. Capital gains tax is a tax on the sale of an investment, usually stocks, bonds, precious metals and property.
Payroll tax. FICA tax is a tax levied in the United States to fund Social Security and Medicare. ...
Property taxes. Most property taxes charge for both the value of the land and the value of any buildings or other improvements on the land.
Consumption taxes. A general tax refers to a tax that applies to all or most goods and services and where all are taxed at the same rate.
5 by 8 of the children in the field are girls. There are 45 boys. How many girls are there?
Answer:
5+8 = 13
5:8
Girls
8÷5 × 45
== 28
hope it helped
Answer:
75 girls
Step-by-step explanation:
[tex]\dfrac{5}{8} \ are\ girls[/tex]
[tex]\dfrac{8-5}{8}=\dfrac{3}{8} \ are \ boys[/tex]
Let the total children = x
[tex]\dfrac{3}{8} \ of \ x = 45\\\\\dfrac{3}{8}*x = 45\\\\x =45*\dfrac{8}{3}= 15 * 8\\[/tex]
x = 120 children
Number of girls = 120 - 45 = 75
Need help with math homework
Answer:
Step-by-step explanation:
e
Answer:
hey dear mate!
you can install a app
Step-by-step explanation:
named gauth math
Help please………………………
Answer: See below
Step-by-step explanation:
1. Yes
2. No
3.No
4. Yes
5. No
6. Yes
7. No
8. No
9. Yes
3 friends split the cost of renting a boat. Each person rented a life preserver. The cost of the boat was $120. The total cost for the boat and life preservers was $135 write and solve an equation to find the cost of the life preservers
Answer:
$5
Step-by-step explanation:
$135-$120=15
15 divided by the amount of people, which is 3, equals $5. It costs $5 for a life preserver.
Select the correct answer. What is the approximate solution to this equation? 19 + 21nx= 25
Answer:
x= [tex]\frac{2}{7n}[/tex]
Step-by-step explanation:
19 + 21nx= 25
21nx= 25 - 19
21nx= 6
x= [tex]\frac{2}{7n}[/tex]
PLEASEE ANSWER THIS I BEG ILL ADD U AS BRAINLIST!
Answer:
Simplifying
2xy + -4xy = 0
Combine like terms: 2xy + -4xy = -2xy
-2xy = 0
Solving
-2xy = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-2'.
xy = 0
Simplifying
xy = 0
The solution to this equation could not be determined.
Step-by-step explanation:
i only got the first 1 sry
Simplify this expression.
Is (3,-10) a solution to the function y = - 4x + 2? Answer "yes" or "no". Then explain why it is or
is not a solution
Need answer ASAP
Answer:
no yes of couse its yes but no so yes 1727x+293
Step-by-step explanation:
Evaluate −8 + 10 × 4 ÷ (−2).
options:
−28
−3
−20
−4
Answer:
[tex]-28[/tex]
Step-by-step explanation:
[tex]-8+10\times \:4\div \left(-2\right)[/tex]
Follow PEMDAS order of operations:
[tex]10\times \:4\div \left(-2\right)[/tex]
[tex]10\times \:4=40[/tex]
[tex]40\div \left(-2\right)[/tex]
[tex]-40\div \:2=-20[/tex]
[tex]-8-20[/tex]
[tex]-28[/tex]
Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.
An equation is written as two expressions connected by the equal sign
Enter an equation for the shifted graph:
We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.
For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:
g(x) = f(x + 2) + 4
----------------------------------
Let's see how to solve this.
We need to start by defining the two most common translations (also known as shifts).
Horizontal translation:
For a given function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
where if N is positive, the translation is to the left.
If N is negative, the translation is to the right.
Vertical translation:
For a given function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
Where if N is positive, the translation is upwards.
If N is negative, the translation is downwards.
Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.
The shift up of 4 units is written as:
g(x) = f(x) + 4
The shift of 2 units to the left is written as:
g(x) = f(x + 2)
These two together give:
g(x) = f(x + 2) + 4.
This is the equation we wanted to get.
If you want to learn more, you can read:
https://brainly.com/question/24401156
GCF of [tex]x^{3} y^{5} z^{2} and x^{4}yz^{5}[/tex]
Answer:
[tex]x^{3} yz^{2}[/tex]
Step-by-step explanation:
Area and perimeter for this rectangle
Answer:
perimeter = (8x + 3mm + 5mm) ×2
area = (8x + 3mm) × 5mm
Answer:
Perimeter: 48mm
Area: 95mm
Step-by-step explanation:
Perimeter=2(l+w)
2((8x+3)+5)
-8x=2(3+5)
-8x=2(8)
-8x=16
x=2
2((8(2)+3)+5)= 48
So the perimeter is 48mm
Area=wl
l=19mm
w=5mm
19*5=95mm
So the area is 95mm
Question 6
Zoo Visitors
The graph shows how the number of visitors at a local zoo is
related to the average daily temperature. The line shown is
the line that most closely approximates the data in the
scatter plot
450
400
350
300
250
$ 200
150
100
50
.
USE ESTIMATION Use the line to approximate the number
of visitors at the zoo for an average daily temperature of
50°F. Compare this to the actual number of visitors given by
the point on the graph for an average daily temperature of
50°F
0
20 40 60 80
Average Daily Temperature (°F)
line: about
visitors
point about
visitors
The difference between the actual number and approximate number of visitors at an average daily temperature of 50°F is about 90 with the approximate value lower than the actual number of visitors.
From the graph attached which shows the trend line which approximates the number of visitors for a given average temperature value.
The approximate number of visitors predicted by the model at an average temperature value of 50°F is 250The actual number of visitors represented by the dot at an average temperature value of 50°F is about 340.Therefore, the approximate value is about 90 visitors below the actual number of visitors at the zoo.
Learn more :https://brainly.com/question/18405415
Translate each graph as specified below.
(a) The graph of y=f(x) is shown. Translate it to get the graph of y=f(x) - 4.
(b) The graph of y=g(x) is shown. Translate it to get the graph of y=g(x - 2).
Answer:
1
Step-by-step explanation:
1
The answers are :
a) The graph is translated downwards by 4 units.
b) The graph is translated downwards by 2 units.
What do you mean by translation of a graph ?
The modification of an existing graph or graphed equation to create a different version of the following graph is known as translation.
a)
The graph of y = f(x) is shown.
The other function is y = f(x) - 4.
As it can be observed that the graph is translated from its parent function which is y = f(x) to function y = f(x) - 4.
The graph is shifted down by 4 units or translated downwards by 4 units.
b)
Here , the graph of y = g(x) is shown.
The other function is y = g(x -2)
As we can observe that the graph is translated from its parent function which is y = g(x) to function y = g(x - 2).
The graph is shifted downwards by 2 units or translated downwards by 2 units.
Therefore , the answers are :
a) The graph is translated downwards by 4 units.
b) The graph is translated downwards by 2 units.
Learn more about translation here :
https://brainly.com/question/12861087
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PLEASE HELP ME ITS ALGEBRA THANK YOUUUUUUU
Help me asap I’ma give u brainlest if u do
Answer:
The answer is b..
Step-by-step explanation:
hope its helpful
can yall help me with maths I will give you the brainlis something soo
Where on the number line would the number -3 be placed
Answer:
3 Units To The Left
Step-by-step explanation:
The amount of time it takes a swimmer to swim a race varies inversely as the average speed of the swimmer. A swimmer finishes a race in 37.5 seconds with an average speed of 4 feet per second. Find the average speed of the swimmer if it takes 25 seconds to finish the race.
Answer:
5 average speed
Step-by-step explanation:
Answer:
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Step-by-step explanation:
ddds
Can someone please explain how to do this problem? I'm struggling a bit.
Answer:
x=135/13
Step-by-step explanation:
9/13 × 15 = x
9 × 15/13 = x
135/13 = x
x = 135/13
I hope this helps :)
please help:)
write an equation of the line , in point slope form, that passes through the two given points.
Points:(-2,10),(10,-14)
Answer:
y+2 = (-1/2)(x-3)
Step-by-step explanation:
Will mark as brainlist answer quickly
Choose the present perfect tense for the following verb.
make
Marcet_____ her special chocolate cake many times.
has maked
have made
has made
made
Answer:
Marcet has made her special chocolate cake many times.
Please mark as Brainliest, thank you!
Solve for b.
Help pls thank u !!!!
Step-by-step explanation:
3b - 3.76 = 1.34
3b = 3.76+ 1.34
3b = 5.1
b= 5.1/3
= 1.7
Mai, goran, and Juan have a total of $84 in their wallets. Goran has 3 times what Juan has. Mai has $6 less than Juan. How much does each have?
Answer:
Goran: $54
Juan: $18
Mai: $12
Step-by-step explanation:
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