Answers
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x-3}{5}[/tex]
Step-by-step explanation:
Rearrange the equation making x the subject
y = 5x + 3 ( subtract 3 from both sides )
y - 3 = 5x ( divide both sides by 5 )
[tex]\frac{y-3}{5}[/tex] = x
Change y to x then
[tex]f^{-1}[/tex](x) = [tex]\frac{x-3}{5}[/tex]
Related Questions
Which is the best estimation of the sum of 182, 325, 78, and 415?
Answers
Answer:
1000
Step-by-step explanation:
Add them together(182+325+78+415=1000) That's correct and that is the estimate!
Answer:
1,000
Step-by-step explanation:
Jocelyn compiled data on the number of hours students work per week the summer after senior year. The minimum number of hours in the distribution was 23. The range was 17. What is the maximum number of hours in the distribution?
Answers
Answer:
40
Step-by-step explanation:
The maximum number of hours in the distribution will be 40.
What is a range?A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The disparity between values in a data collection can be measured most simply using the range. The range can be calculated by simply disregarding the other values and subtracting the lowest value from the highest value.
Given that the minimum number of hours in the distribution was 23. The range was 17.
Range = Maximum number - Minimum number
17 = Maximum number - 23
Maximum number = 17 + 23
Maximum number = 40
Therefore, the maximum number of hours in the distribution will be 40.
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Please help I'm in 4 grade and got this question hurry
Answers
Answer:
25
Step-by-step explanation:
[tex]3^2+4^2=9+16=25[/tex]
To get an A in a Psychology class, you must have an average
of 90 points for 3 tests of 100 points each. For the first 2 tests,
your scores are 84 and 93. What must you score on the 3rd
test to earn a 90% average?
Answers
Identify the transformation from c to d. A) 360 rotation,B) 270 Clockwise Rotation,C) 90 Clockwise rotation,D) 180 rotation?
Answers
Answer:
A) 360 rotation
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
-|-5 + 3 - 2| + 2 The answer is supposed to be six.
Answers
Step by Step:
-|-5+3-2|+2
-|-4|+2
-4+2
=-2
The graph of f(x) is shown below.
For each point (a,b) on the graph of y = f(x), the point ( 3a - 1, b/2) is plotted to form the graph of another function y = g(x). For example, (0,2) lies on the graph of y = f(x), so (3 * 0 - 1, 2/2) = (-1,1) lies on the graph of y = g(x).
(a) Plot the graph of y = g(x). Include the diagram in your solution.
(b) Express g(x) in terms of f(x).
(c) Describe the transformations that you would apply to the graph of y = f(x) to obtain the graph of y = g(x). For example, one transformation might be to stretch the graph horizontally by a factor of 5
Answers
(a) I have attached the graph.
(b) The function g(x) is given by g(x) = f(2x + 2)/3. You can work this out algebraically. You can also work this out by using the graph of the function.
(c) We can obtain the graph of y = g(x) from the graph of y = f(x) through the following transformations:
* stretch horizontally by a factor of 2
* stretch vertically by a factor of 3
* shift downwards by 2 units
What is the value of x in the equation –2.4x = 8.4?
1. –20.16
2. –3.5
3. 3.5
4. 20.16
Answers
Answer:
2. -3.5
Steps:
divide both sides by by (-2.4): -2.4x ÷ (-2.4) = 8.4 ÷ (-2.4)
any equation divided by itself equals 1 so that would be the right side: x = 8.4 ÷ (-2.4)
divide the equation on the left and get: x = -3.5
Answer:
-3.5
Step-by-step explanation:
im genius
25 POINTS!!! Under a dilation centered at the origin, the vertex, (2, 3), of a polygon is moved to the point (−8, −12) . What is the scale factor of the dilation? Enter your answer in simplified form in the box.
Answers
325
Step-by-step explanation:
(x+8)2+(y+12)2=235The scale factor of the point will be ( 1 / 4).
What is a scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that under a dilation centered at the origin, the vertex, (2, 3), of a polygon is moved to the point (−8, −12).
The scale factor will be calculated as below:-
Scale factor = ( 2 / 8 ) = ( 1 / 4 )
Therefore, the scale factor of the point will be ( 1 / 4).
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Identify the first step to find the equation below.
Answers
Answer:
You would subtract the 7
Step-by-step explanation:
9/11 decimal equivalent
Answers
Answer:
.81 repeating (meaning it has a line over it and it goes on forever as 81818181 etc.)
Step-by-step explanation:
hope this helped a little bit :)
Answer:
0.818181
Step-by-step explanation:
the answer goes on forever so do 0.81 with a bar over it
Help please, click the other pictures to see the answer choices. #1 is the first blank #2 is the second blank answer choices.
Answers
Answer:
"Side-Angle-Side" and "can be proven congruent"
Step-by-step explanation:
It is SAS because you are given that two of the sides and one angle are congruent, meaning that you can use SAS to prove that the two triangles are congruent.
Mrs. Li wants to compare her students’ test scores to the school average. She created a table to help her. Mrs. Li’s Student Test Scores Student Score compared to school average Adam +3 Bryan 0 Cierra –4 Devaughn +1 Elena +5 Fionna –2 Which list orders the students by lowest score to highest score? Bryan, Cierra, Fionna, Devaughn, Adam, Elena Cierra, Fionna, Bryan, Devaughn, Adam, Elena Elena, Adam, Devaughn, Bryan, Fionna, Cierra Bryan, Devaughn, Fionna, Adam, Cierra, Elena (on edge)
Answers
Answer:
B
Step-by-step explanation:
The given differences between the test scores of Mrs. Li's students and the average test score of the school give us the order from lowest to highest marks of Mrs. Li's students as Cierra, Fionna, Bryan, Devaughn, Adam, and Elena. Hence, the 2nd option is the right choice.
What is average of data?The average of data is the ratio of the sum of all observations in the data to the number of observations in the data. It can be written as:
[tex]\overline{x} = \frac{\sum x}{N}[/tex]
where [tex]\overline{x}[/tex] represents the average, x represents the observations, and N represents the number of observations.
How to solve the given question?In the question, we are given the comparison of the test scores between Mrs. Li's students and the school's average test score.
The data is as follows: Adam +3 Bryan 0 Cierra –4 Devaughn +1 Elena +5 Fionna –2, where the shown figure is the difference between their respective score and the average test score of the school.
We are asked to identify the order from the given lists that show the students in order from lowest marks to highest marks.
A negative data means a score less than the average score.
Therefore, Cierra and Fionna got a score less than the average score, with Cierra scoring the least.
A data = 0 means a score equal to the average score.
Therefore, Bryan got a score equal to the average score.
A positive data means a score more than the average score.
Therefore, Adam, Devaughn, and Elena got a score more than the average score, with Elena getting the highest followed by Adam and the Devaughn.
Therefore the order looks like this: Cierra, Fionna, Bryan, Devaughn, Adam, and Elena, which is the 2nd option.
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(10, -8) and (1, 12).
Find the slope of the line
Answers
Answer:
2/9
Step-by-step explanation:
the formula for slope is y2-y1 over x2-x1. So the equation would be 12-10 over 1-(-8) which is equal to 2/9
Un bidon con aguatiene capacidad para 63 litros si el bidon tiene llena la tercera parte de su capacidad total cuantos litros le faltan para llenarlos completamente
Answers
Answer:
42 litros
Step-by-step explanation:
63 / 3 = 21
21 * 2 = 42
pizzas cost $8 plus a $3 delivers charge Show the cost of 1, 2, 3 and 4 pizzas. is there a direct variation? ASAP
Answers
Step-by-step explanation:
Write an equation.
c= the cost
p= the number of pizzas
8p means $8 per pizza
And adding 3 includes the delivery charge.
c=8p+3
Plug in the numbers 1-4.
1: $11
2: $19
3: $26
4: $35
This equation is NOT a direct equation since you have to add 3 (for the delivery charge) to the numbers.
Write the expression n.n.p.p.s.r.r using exponents
Answers
Answer:
n^2p^2r^3
Step-by-step explanation:
what is the measure for
Answers
Answer:
148
Step-by-step explanation:
180-32 cuz supplementary angle minus premade angle
The square root of 53
falls between ____
and _____
but it's closest to _____
(*Your answers must be between -20 and 20)
Answers
Answer:
Falls between 7 and 8
Step-by-step explanation:
Square root of 53 is 7.28
Answer:
7.280109
Step-by-step explanation:
The square root of 53 is 7.28
Which rule best describes the following pattern? 8, 4, 10, 6, 12, 8, 14, ...
Answers
-4+6
or it could be written out as
n-4+6=x
Our work: -2x + 4 = 5 - 3x
Answers
Answer:
x=1
Step-by-step explanation:
-2x + 4 = 5 - 3x
Add 3x to each side
-2x+3x + 4 = 5 - 3x+3x
x +4 =5
Subtract 4 from each side
x+4-4 =5-4
x =1
A family spent $93 at a carnival. They spent $18 on tickets to the carnival and $36 on food.They spent the rest of the money on games. Write and solve an equation representing how much money, in dollars, the family spent on games.
Answers
Answer:
$93-$18-$36=$39
$39
Step-by-step explanation:
Answer:
18 + 36 + 39 = 93 The family spent $39 on games.
Step-by-step explanation:
18 + 36 + g = 93
I'm using "g" to substitute the number of money they spent on games. To find what that is, you simply add 18 and 36.
18 + 36 = 54
So we know they used 54 dollars on tickets and food. Now we can take that away from the total amount spent.
93- 54 = 39
Here we can tell that the amount the family spent on games was 39 dollars. Or in other words, g = 39
Hope that helps and have a great day!
what is the angle JKM???
Answers
Answer:
176°
Step-by-step explanation:
Since, KR bisects angle JKM, so, measure of angle JKM will be twice of the measure of angle RKM.
[tex]m\angle JKM = 2\times m\angle RKM \\ m\angle JKM = 2\times 88 \degree \\ \huge \red{ \boxed{ m\angle JKM = 176 \degree}}[/tex]
While studying a population of porcupines, a group of scientists caught and tagged 140 porcupines. A week later, the scientists counted 180 porcupines and saw that 14 of them had tags. To the nearest whole number, what is the best estimate for the porcupine population
Answers
Answer:
400
Step-by-step explanation:
140 + 180
= 320
estimate is 400.
11. Ben received 3% more votes than Sam during the team captain election. If Ben and Sam were the only two candidates, what percent of
all votes did Sam receive?
A 47%
B 47.5%
C 49%
D 48.5%
Answers
i’m pretty sure
Solve the inequality for x.
8x-30< -5 (4- 2x)
_
Answers
Answer:
x > _ -5
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
If f(x)=2x+4 and g(x)=x-5, find (f-g)(x)
Answers
Answer:
[
f
o
g
]
(
x
)
=
2
x
2
−
1
Explanation:
f
(
x
)
=
2
x
+
5
,
g
(
x
)
=
x
2
−
3
then,
[
f
o
g
]
(
x
)
=
2
(
g
(
x
)
)
+
5
=
2
(
x
2
−
3
)
+
5
[
f
o
g
]
(
x
)
=
2
x
2
−
6
+
5
[
f
o
g
]
(
x
)
=
2
x
2
−
1
Step-by-step explanation:
1.
R is between S and T. RS = 5x – 13, RT = 2x + 5, and ST = 3x + 24.
Find the value of x and ST.
S
R.
Answers
Answer:
The value of x is 8, and m<ST = 48 degrees.
Step-by-step explanation:
With the given information, we know the worth of each angle. To solve it, an equation must be made.
RS (part) + RT (part) = ST (whole)
Should look like this: 5x - 13 + 2x + 5 = 3x + 24.
Then solve the equation.
First, add up all that has in common:
Should look like: 7x - 8 = 3x + 24
Then move 3x from the right to the left by subtraction.
Should look like: 4x - 8 = 24
Next, move the 8 to the other side by addition.
Should look like: 4x = 32
Finally, to find what the value of x is, divide 4 on both sides.
You should get an answer of x = 8.
To find the measurement of ST, replace the x in 3x + 24.
3(8) + 24 = 48.
m<ST = 48 degrees.
8x (-2) divided by 4x0 =
Answers
Answer:
0
Step-by-step explanation:
Answer:
0
the answer is 0 because anything times o equals 0
What is the value of f(x)=12x+5 when x=4?
Answers
Answer:
If 53 wrong then I am sorry.
Step-by-step explanation:
