Answers
Answer:
[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5(x - 2)^3 + 4[/tex]
Required
Determine the inverse
[tex]f(x) = 5(x - 2)^3 + 4[/tex]
Replace f(x) with y
[tex]y = 5(x - 2)^3 + 4[/tex]
Swap the positions of x and y
[tex]x = 5(y - 2)^3 + 4[/tex]
Make y the subject
[tex]x -4= 5(y - 2)^3[/tex]
Divide by 5
[tex]\frac{x -4}{5}= (y - 2)^3[/tex]
Take cube roots of both sides
[tex]\sqrt[3]{\frac{x -4}{5}}= y - 2[/tex]
Add 2 to both sides
[tex]\sqrt[3]{\frac{x -4}{5}} +2 = y[/tex]
[tex]y = \sqrt[3]{\frac{x -4}{5}} +2[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]
Related Questions
ANSWERRRRR????HELPP PSLSSSSS
Answers
Answer:
its sas side angle side plz mark me branliest
llyssa spent 3/8 of her money on a bag. she gave 2/5 of the remaining amount to her sister. What fraction of her money was left with?
Answers
Answer:
3/8
Step-by-step explanation:
After spending 3/8 of her money on a bag, she has 5/8 of the original amount of money left. As she gave 2/5 of the remaining amount of money to her sister, she gave 1/4 of the original amount of money to her sister (5/8 × 2/5 = 1/4). Therefore, there's only 3/8 (1 - 3/8 - 1/4 = 3/8) of the original amount of money left in her bag.
The answer and I will mark Brainalist
Answers
Answer: G would be your answer, or c = 8k + 24
Step-by-step explanation:
Answer:
it is G) c=8k + 24
Step-by-step explanation:
brainliest pls
Mrs. Stephens bought 3 pounds of tomatoes.How many ounces are equal to 3 pounds?
Answers
Answer:
48 ounces
Step-by-step explanation:
16 ounces per pound
3 x 16 = 48 ounces
Answer two questions about Systems
A
AA and
B
BB:
System
A
AA
start text, end text System
B
BB
{
x
−
4
y
=
1
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x−4y=1
5x+6y=−5
{
x
=
1
+
4
y
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x=1+4y
5x+6y=−5
1) How can we get System
B
BB from System
A
AA?
Answers
The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
To obtain System B from System A, we can perform the following steps:
Start with System A:
System A:
x - 4y = 1
5x + 6y = -5
Solve the first equation in System A for x:
x = 1 + 4y
Substitute the value of x in the second equation of System A:
5(1 + 4y) + 6y = -5
Simplify and solve for y:
5 + 20y + 6y = -5
26y = -10
y = -10/26
y = -5/13
Substitute the value of y back into the equation we found in step 2:
x = 1 + 4(-5/13)
x = 1 - 20/13
x = (13 - 20)/13
x = -7/13
Write down the equations with the values of x and y:
System B:
x = -7/13
5x + 6y = -5
Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
Learn more about expression here:
https://brainly.com/question/1859113
#SPJ8
The trapzeoids below are congruent figures. What is the value of W
Answers
Answer:
2
Step-by-step explanation:
3w=6
w=6÷3
w=2
what is the negation of "x>3"?
a)=3
b.)_<3
c.)<3
Answers
Given:
The inequality is:
[tex]x>3[/tex]
To find:
The negation of the given inequality.
Solution:
The given inequality is [tex]x>3[/tex], it means all the value which are greater than 3 are included in the solution set.
Since all the values which are less than or equal 3 are not included in the solution set, therefore the negation of the given inequality is
[tex]x\leq 3[/tex]
Therefore, the negation of [tex]x>3[/tex] is [tex]x\leq 3[/tex].
Note: Option are not in proper format.
Tell whether −5 is a solution of y+8>3
Answers
Step-by-step explanation:
y>3-8
y>-5
The solutions are in the interval ]-5,○○[
What's 9+7
Please help
Answers
Answer:
9 + 7 = 16
9 - 7 = 2
9/7 = 1.28571429
9 x 7 = 63
Step-by-step explanation:
have a good day
Answer:
16
Step-by-step explanation:
because if you add the 9 and 7 together it will get you to 16
for Example:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6/7 8 9 10 11 12 13 14 15 16
you just add 9 and 7 and you will get 16
so that answers your question
What's 9+7 Please help
answer: 16
Hope this helps
A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?
4 feet
6 feet
8 feet
16 feet
Answers
Answer:
8 feet
Step-by-step explanation:
Ladder = hypotenuse
bottom of ladder to tree = leg
x, 6, 10
Clear 3-4-5 triangle so,
x=8
Mike needs to buy a water tank. The tank must fit inside a storage box that is shaped like a cube with the side lengths of 30 feet. Water tanks are available in cylinders, cones, square pyramids, and spheres. Mike wants to buy the tank that has the largest capacity. What shape tank should Mike buy?
Answers
Answer:
sphere
Step-by-step explanation:
sphere has a larger volume
In a pre-election poll, 58% of a large random sample of voters responded as planning to vote for the school enhancement millage. A 95% confidence interval was computed for the proportion of all such voters who plan to vote for the school enhancement millage. Review each of the following statements regarding the meaning of the 95% confidence level. Determine if it is a correct (true) meaning or incorrect (false).
Answers
Answer: Hello the statement related to your question is missing attached below is the statement
answer : The statement is false
Step-by-step explanation:
The statement is false
This is because a confidence interval gives a range of values for an unknown parameter.
A 95% confidence interval is calculated and it gives a lower and upper limit in which the 58% of the voters can fall into i.e. The 58% of voters can fall within the upper and lower limit of the 95% confidence interval and not exactly 95% . Hence the statement is false.
33√8
9√20
444÷333
5552×333
3÷99
44√5
6622÷33
Answers
Step-by-step explanation:
93.340.21.318488163398.3200.6if u want it by step by step thn tell me i will do that..
A box of ceral contains 10 cups . if each bowl holds 1 1/4 cups of cearal. how many bowls of ceral will you get out of the box
Answers
Answer:
8 bowls
Step-by-step explanation:
10=40/4
1 1/4=5/4
40/4 divided by 5/4=160/20
160/20=8/1
Answer: the answer is 8
Step-by-step explanation:
- 4(x + 5) = 16 what does x equal?
Answers
Answer:x= 9
Step-by-step explanation:
-4(x+5) = 16
-4*x= -4x -4*5= -20
16 - -20= 36
-4x/-4= x 36/-4=9
NO LINKS PLEASE and make sure it's correct
Answers
Answer: The answer is 20 3/16
Step-by-step explanation:.
Its B.
Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 35?
Answers
Answer:
yes
Step-by-step explanation:
Hello There!
In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared
so if this is a right triangle then
[tex]21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225[/tex]
so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle
What is 12 divided by 3/5
Answers
Answer:
20
Step-by-step explanation:
12 / 3/5
12 / 0.6
20
Answer:
12 divided by 3/5 = 20
Pls help I need a good grade
Answers
Answer:
Step-by-step explanation:
13). [tex]-\frac{q}{7}\geq -1[/tex]
[tex]\frac{q}{7}\leq 1[/tex]
[tex](\frac{q}{7}\times 7)\leq (1\times 7)[/tex]
q ≤ 7
14). -12x < 60
12x > -60
[tex]\frac{12x}{12}>\frac{-60}{12}[/tex]
x > -5
15). 5 > z - 3
5 + 3 > z - 3 + 3
8 > z
16). 0.5 ≤ [tex]\frac{y}{8}[/tex]
0.5 × 8 ≤ [tex]\frac{y}{8}\times 8[/tex]
4 ≤ y
Now we can draw these inequalities on a number line.
7. A shopkeeper buys a stove from a manufac-
turer. The shopkeeper sells the stove for $2 500
at a profit of 20%.
(a) What amount did the shopkeeper pay the
manufacturer for the stove?
Answers
Answer:
I believe the amount that the shopkeeper would've paid for the stove is $2083
Step-by-step explanation:
2500×100/120 = 2083.33
Shiro and Tatiana weighed some pebbles in
science class. They made a line plot to display
their data. Use the line plot to answer
Answers
Answer:
The answer is below
Step-by-step explanation:
a) Of the pebbles that were measured, which weight occurs the least?
Soln.: From the line plot, we can see that 3 ounce occurred once, 3 1/2 ounce occurred 4 times, 4 ounce occurred 3 times, 4 1/2 ounce occurred 5 times, 5 ounce occurred 2 times, 5 1/2 ounce occurred 3 times, 6 ounce occurred 2 times.
Therefore 3 ounce occurred the least.
b) What is the total weight of the pebbles represented by the data?
Soln.: The total weight is:
Total weight = (3*1) + (3 1/2 * 4) + (4 * 3) + (4 1/2 * 5) + (5 * 2) + (5 1/2 * 3) + (6 * 2) = 90 ounce
c) Is there an outlier in the data set? If so what number is the outlier?
Soln.: There is no outlier in the data set because all the data are close to each other.
Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 inches. 5 in 3 in 7 in The surface area of the prism is ?
Answers
Answer:
290in
Step-by-step explanation:
which pair of triangles is congruent by asa?
Answers
I need help what's the answer anyone?
Answers
Answer:
B
Step-by-step explanation:
Chandler, Jamal, Allison, and Qi are given the following problem. In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? Each student writes an inequality to represent the situation. Chandler wrote 60 + 2g ≥ 92 Jamal wrote 60 + 2g > 92 Allison wrote 60 + 2g < 92 Qi wrote 60 + 2g ≤ 92 Whose inequality is CORRECT? A. Qi B. Chandler C. Allison D. Jamal
Answers
Answer:
The correct answer is B.
Step-by-step explanation:
Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:
Chandler wrote 60 + 2g ≥ 92
Jamal wrote 60 + 2g> 92
Allison wrote 60 + 2g <92
Qi wrote 60 + 2g ≤ 92
To determine whose inequality is correct, the following calculation must be performed:
92 - 60 = 32
32/2 = 16
Chandler: 60 + 2x16 ≥ 92
Thus, Chandler wrote the correct option.
Moriah studied for 3 hours to prepare for her history exam. How many minutes did she study?
Answers
Answer:
180
Step-by-step explanation:
Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.
3 x 60 = 180
Answer: 180 minutes.
Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.
The table gives predictions of the average costs of a gasoline car after the year 2030. Which graph best represents the relationship between time and the predicted cost?
Answers
Answer:
It's the b graph
Step-by-step explanation:
Khan Academy.
Answer:
The line slightly curves.
Step-by-step explanation:
Got it right on Khan
The points (-1,-3, -1,7) Is located in which quadrant
Answers
Answer:
-1,-3 is on quadrant 3
-1,7 is on quadrant 2
Step-by-step explanation:
Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation
Answers
Answer:
y = 5x + 100
Step-by-step explanation:
PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN
Answers
Answer:
466.2 ft²
Step-by-step explanation:
10x24=240
1/2[tex]\pi[/tex]12²=226.194671
240+226.194671=466.194671
