Which function has an inverse that is also a function?
Can someone please help me with this problem?
Answers
Answer:
The function that has an inverse that is also a function is [tex]x = 3\cdot y + \frac{9}{4 }[/tex].
Step-by-step explanation:
The only function whose inverse is also a function is the linear function, also named first-order polynomial. The inverse of a linear function is also a linear function. That is:
[tex]y = \frac{1}{3}\cdot x -\frac{3}{4}[/tex]
[tex]\frac{1}{3}\cdot x = y + \frac{3}{4}[/tex]
[tex]x = 3\cdot y + \frac{9}{4 }[/tex]
The function that has an inverse that is also a function is [tex]x = 3\cdot y + \frac{9}{4 }[/tex].
Related Questions
Carlos used 100 bricks to build a 20 foot wall. How many bricks would be used for a 25 foot wall?
Answers
HELP NOW PLEASE A polygon on a coordinate was transformed using the rule (x,y) (x-4,y-3) Which of these desenbos this transformation
A: A translation 4 units to the left and 3 units down
B: translation 4 units to the right and 3 units
down
C: translation 4 units to the left and 3 units up
D: A translation 4 units to the right and 3 units up
Answers
can anyone help me figure out what this is
Answers
===========================================================
Explanation:
Cosine of an angle is the ratio of the adjacent over the hypotenuse.
For reference angle A, the adjacent leg or closest leg is side AB = 30.
The hypotenuse is always the longest side. The longest side of a right triangle is always opposite the largest angle (the 90 degree angle). So the hypotenuse is AC = 34.
We then say:
cos(angle) = adjacent/hypotenuse
cos(A) = AB/AC
cos(A) = 30/34
cos(A) = (2*15)/(2*17)
cos(A) = 15/17
can someone send the work for y=2x-1 y=2x+6
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4. The Smoothie Stand is selling their small smoothies for $4 for 16
ounces. If their rate is constant, how much would a large smoothie cost
if it is 32 ounces.*
Answers
Answer:
$8
Step-by-step explanation:
Answer: $8
Step-by-step explanation: you do 32/16 and get 2 and then you just multiple $4 x 2
5. Using the information from problem 4, if the club sells 40 tickets in advance, what is the least number the club needs to sell at the door to reach the president's goal?
Answers
Answer:
8
Step-by-step explanation:
40 + 5 (at the door)=45
(president's goal) 400 divided by 45= approximately 8
What is a area of a rectangle if one side is 43mm and the other side is 27mm
Answers
Answer: A≈1.16×10-3m²
Step-by-step explanation:
PLEASE HELP ITS TIMED
Answers
Answer:
I think its A...........
walnuts cost $2.10 per pound how many pounds of walnuts can we to buy for $6.30 .
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Answer:
You could buy 3 pounds of walnuts. To find the answer just multiple the cost($2. 10) by 3
SOMEONE PLEASE HELP!!!!! PLEASE!!!
The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.5) and crosses the y-axis at (0, 1). g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 2, 1) and crosses the y-axis at (0, 6).
What is the value of h?
–2
0
2
5
I will also add the picture of the whole question
Answers
Answer:
-2
Step-by-step explanation:
Edge2021
Using translation concepts, it is found that the value of h is 5. so option D is correct.
What is a translation?A translation can be represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
When the expression of function is such that it involves the input to be present as exponent of some constant, then such function is called exponential function.
In this problem, function f(x) is defined by:
[tex]f(x) = (2.5)^x[/tex]
Function g(x) is defined by
[tex]g(x) = (2.5)^x-h[/tex]
OR
[tex]g(x) = (2.5)^x + g[/tex]
Since f(x) the y-axis at (0,1), while g(x) crosses it at (0,6), which means that g(x) is f(x) added to 5, hence h = 5.
Using translation concepts, it is found that the value of h is 5. so option D is correct.
You can learn more about translation concepts at brainly.com/question/21197885
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please help me :)
i will give your answer a brainiest if it’s correct!
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Answer:
a) 6ab
b) c⁶
c) 10y⁷
d) 12g⁴h⁵
what is the answer ?
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Answer:
I think the answer would be -8
Hellppppppppppppppppppppppppppppppppppp
please i will help you back one day if needed
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Answer:
height from top to bottom
30
60
90
120
What is 4/3 divided by 5/2
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The junior and senior classes at Northside High School were asked to choose a theme for the junior/senior prom. The results
are shown in the two-way frequency table below.
Juniors
Seniors
Total
Northside High School Prom Theme
Into the Future Under the Sea Disco Forever Total
60
80
20 160
130
45
25
200
190
125
45 360
What percentage of seniors chose the prom theme "Into the Future?"
OA. 52.78%
OB. 65%
OC. 68.42%
OD. 36.11%
Answers
Answer: 65%
Step-by-step explanation:
130% of 200 is 65%
65% of seniors chose the prom theme "Into the Future.
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
The frequency of an occurrence or a value is the number of times it happens.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Given,
Total number of seniors = 200
The number of seniors chose the prom theme "Into the Future = 130
Percentage = (number of seniors who chose the prom theme "Into the Future ÷ Total number of seniors )100
Percentage = (130/200)100
Percentage = 65%.
Hence "65% of seniors chose the prom theme "Into the Future".
To learn more about the frequency table,
brainly.com/question/12576014
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We bought 5 pounds of cashew nuts worth $1.80 per pound , mixed with 4 pounds of peanuts worth $1.62 per pound. What is the value per pound of the mixture ?
Answers
Answer:
$1.72
Step-by-step explanation:
5 pounds of cashew nuts at $1.80 per pound is worth
5 x $1.80 = $9.00
4 pounds of peanuts at $1.62 per pound is worth 4 x $1.62 = $6.48.
The total value of the 9-pound mixture is $9.00 + $6.48 = $15.48. The value of the mixture per pound is found by dividing the total value by the number of pounds. $15.48 / 9 = $1.72
hope this helps!!:)
what operation do i use to
solve 3.18 -16.70
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Answer:
subtraction
Step-by-step explanation:
What is the vertical distance from the origin to the point 2,9
Answers
Answer:
Um
Step-by-step explanation:
Solve the system by substitution.
y = -4x
23 - 5y = 44
Answers
[tex] \begin{cases} y = - 4x \\ 23 - 5y = 44 \end{cases}[/tex]
Substitute y = -4x in the second equation.[tex]23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x = \frac{21}{20} [/tex]
Substitute the value of x in any given equations. I will substitute the value of x in the first equation.[tex]y = - 4x \Longrightarrow y = - 4( \frac{21}{20} ) \\ y = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y = - \frac{21}{5} \\ y = - \frac{21}{5} [/tex]
Answer Check by substituting both values in two equations.First Equation
[tex]y = - 4x \Longrightarrow - \frac{21}{5} = - 4( \frac{21}{20} ) \\ - \frac{21}{5} = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\ - \frac{21}{5} = - \frac{21}{5} \: \: \: \checkmark[/tex]
Second Equation
[tex]23 - 5y = 44 \\ 23 - 5( - \frac{21}{5} ) = 44 \\23 - \cancel{5}( - \frac{21}{ \cancel{5}} ) = 44 \\ 23 + 21 = 44 \\ 44 = 44 \: \: \: \: \checkmark[/tex]
Both equations are true for the value of x and value of y.
Answer[tex] \begin{cases} x = \frac{21}{20} \\ y = - \frac{21}{5} \end{cases}[/tex]
Coordinate Point form
[tex]( \frac{21}{20} , - \frac{21}{5} )[/tex]
Choose two numbers from 5 to 9 .use your numbers to write an addition sentence.draw a picture to show your work.
Answers
Answer:
6+5=11
Step-by-step explanation:
just draw 6 apples plus 5 pickles or something i cant do it so youll habe to
PLEASE ANSWER ASSAP!!!!!!!!!!!!!!!! WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
Answer:
Answer is A
Step-by-step explanation:
By the diagram, you can see that there is a right angle on a straight line, meaning that the other side is a right angle, also known as 90 degrees. To figure out x, you need to add the equation together on the other side of the equation where 90 degrees goes.
Hope this helped! :D
Find the slope of the line that contains the following points.
Answers
slope is difference of the y-axis over difference of x-axis.
a. slope=
[tex] \frac{8 - ( - 12)}{17 - 17 } [/tex]
=infinity♾️ =tan 90°
b. slope=
[tex] \frac{ - 2 - 1}{ 6 - ( - 3)} [/tex]
= -3/9 = -1/3
In the figure, ΔABC~ΔADE. Find the length of line segment DE.
Answers
Answer:
13
Step-by-step explanation:
[tex]\triangle ABC \sim \triangle ADE => \frac{x}{x+10}=\frac{x+3}{x+16}=>x^{2}+16x=x^{2}+13x+30=>3x=30=>x=10\\DE=x+3=>DE=13[/tex]
Henry has been busy and he has run out of 12 flavors at the ice cream shop. His customers still have 28 flavors to choose from. How many flavors of ice cream would normally be available if he hadn’t run out of any flavors? *
Answers
there are 90 people in a group.
a sixth of the people in the group are men.
the number of women in the group is 2 times the number of men in the group.
the rest of the people in the group are children
the number of children in the group : the number of men in the group = n:1
work out the value of n.
Answers
Answer:
45 children 15 men 30 women
Step-by-step explanation:
If the average crowdfunding campaign investment is about $90 and the average number of investors is about 80, what is the best approximation of the average amount raised in a crowdfunding campaign?
Answers
Answer:
A) $7200
Step-by-step explanation:
The required average amount raised in a crowdfunding campaign is $7200.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 12×2 = 24
The average crowdfunding campaign investment is about $90 and the average number of investors is about 80 which is given in the question.
To determine the average amount raised in a crowdfunding campaign.
The required average amount raised in a crowdfunding campaign is the product of the average crowdfunding campaign investment and the number of investors.
As per the given information,
The average amount raised = $90 × 80 = $7200
Therefore, the required average amount raised in a crowdfunding campaign is $7200.
Learn more about the arithmetic operations here:
brainly.com/question/25834626
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What is the decimal expansion of 7/10?
Answers
Answer:
0.7 is the decimal expansion okok
Step-by-step explanation:
Please help! :) (giving brainliest)
Answers
Answer:
D. multiplying the GCF by 12 will result in the LCM
Step-by-step explanation:
the GCF of 24,36,48 is 12 so when multiplied by 12
12×12 = 144. which is the lcm
9
Which sets of side lengths could form a triangle? Choose all that apply.
A 4 cm, 6 cm, 9 cm
B
3 cm, 7 cm, 9 cm
C 3 cm, 4 cm, 9 cm
D 4 cm, 5 cm, 9 cm
E 5 cm, 5 cm, 9 cm
F 3 cm, 6 cm, 9 cm
Answers
Answer: B,E, C
Step-by-step explanation:
Find the measure of the arc or angle indicated
Answers
Step-by-step explanation:
Let O be the center of the circle
We have Angle YOW = 125°
and Angle WOX = 121°.
Therefore Angle YOX = 360° - 125° - 121° = 114°.
(Sum of angles around a point is 360°)
Since Angle at Center = 2 * Angle at Circumference,
Angle YWX
= 0.5 * Angle YOX = 0.5 * 114° = 57°. (A)
