Answer:
371
Step-by-step explanation:
hope it helped :)
Answer:
there are books on the right
371
Step-by-step explanation:
each shelves is 21
there are 32
books on the left 301
so the rest are on the right
21*32-301=371
so find how many are there and minus it by the books on the left side
[tex]21 \times 32 - 301[/tex]
How many permutations can you make using the word TRANSFORMED?
There is 19958400 Number of permutations can be made using all letters.
What is permutation?
The term "permutation" describes a mathematical calculation that counts all possible arrangements of a given set. The term "permutation" simply refers to the variety of possible arrangements or orders. The arrangement's order matters in permutations.
Given Word is TRANSFORMED.
Total Number of letters = 11
Number of times Letter T repeating = 1
Number of times Letter R repeating = 2
Number of times Letter A repeating = 1
Number of times Letter N repeating = 1
Number of times Letter S repeating = 1
Number of times Letter F repeating = 1
Number of times Letter O repeating = 1
Number of times Letter R repeating = 1
Number of times Letter M repeating = 1
Number of times Letter E repeating = 1
Number of times Letter D repeating = 1
Number of permutations that can be made using all letters
= 11!/(1! * 2! * 1! * 1! * 1! * 1! * 1! * 1!) = 39916800/(2*2*2) = 39916800/2 =
19958400
Thus, there is 19958400 Number of permutations can be made using all letters.
To learn more about the permutations from the given link
https://brainly.com/question/1216161
#SPJ1
Which of the following shows that the two composite figures cover the same area?
For both figures, A=12+4+2+2+2=22 units²
For both figures, A=6+4+2+2+1=15 unit.²
For both figures, A=6+4+3+2+1=16 units.²
For both figures, A=6+4+3+3+2=18 units²
the Answer: A
Step-by-step explanation:
Petra was preparing for a long trip, and filled her gas tank up with 45
litres of gas the night before she left. She noticed that her odometer read 21 912
km when she left the gas station. During the trip she filled up her tank with 35.45
L on her first stop, then with 30.5 L on her second stop, and finally filled the tank
at the end of her trip with 30 L of gas. The odometer on her car read the last
palindromic number in the twenty-two thousands. What was the average number
of litres per 100 km used by Petra's car during the trip?
The average number of liters per 100 km used by Petra's car during the trip, using proportions, was of:
13.96 liters per 100 km.
What is a proportion?A proportion represents a fraction relative to a total amount, and this fraction, which has the meaning of a unit rate, is used along basic arithmetic operations, especially multiplication and division, to find the desired measures in the context of a problem.
The total amount of liters used by Petra on her trip was of:
45 + 35.45 + 30.5 + 30 = 140.95 liters.
The last palindromic number in the twenty-two thousands is of:
22922.
Hence the total distance traveled by Petra was of:
22,922 - 21,912 = 1010 km.
The rate of liters per km is of:
140.95/1010 = 0.1396.
Hence the rate of liters per 100 km is:
0.1396 x 100 = 13.96 liters per 100 km.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Supergym is a national chain of gyms. Its employees sold 318,860 gym memberships last year. This year, they sold 80% more memberships than that. How many memberships did they sell this year?
Answer: 573,948 memberships
Step-by-step explanation:
1. Multiply the number of memberships the year prior by 80%
318,860 * 0.8 = 255088
If they sold 80% more memberships this year, that means you would add 80% of the previous year's memberships (255088) to the number of memberships sold last year (318860).
2. Add 80% of the previous year's memberships to the number of memberships sold last year
255088 + 318860 = 573948
How to find p-value from z-score?
The procedure to calculate the p-value from z-score depends on one of two choices: one-tailed (which may be Left-tailed or Right-tailed) or two-tailed tests.
How to find the p-value from the z-score?A z-table, otherwise termed the standard normal table, provides the area under the curve to the left of a z-score.
The technique for using z-tables to find p-values depends on the test being carried out; which may be; one- or two-tailed test.
For one-tailed tests, the directionality is also a factor.
It therefore follows that;
For a Left-tailed z-test: the p-value = Φ(Zscore)
For a Right-tailed z-test: the p-value = 1 - Φ(z-score).
For a Two-tailed z-test: the p-value = 2 * Φ(−|z-score|).
The procedure described above represents how to calculate p-value from z-score.
Read more on p-value;
https://brainly.com/question/13873630
#SPJ1
The following equations are used to find the p-value from its z-score
Left-tailed test: Φ(z-score)Right-tailed test: 1 - Φ(z-score)Two-tailed test: 2Φ(−|z-score|)How to find p-value from its z-score?From the question, the parameters are given as
p-valuez-scoreAlso, from the question, we understand that:
The p value depends on the z-score for its own value
There are three formulas for calculating the p-value from the z-score, depending on the type of test (i.e. left-tailed test, right-tailed test and two-talied test)
These formulas are:
Left-tailed test: Φ(z-score)Right-tailed test: 1 - Φ(z-score)Two-tailed test: 2Φ(−|z-score|)Read more about p-value at
https://brainly.com/question/4621112
#SPJ4
"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)"
The time taken for the rocket to reach its maximum height according to information given is; 2.25 seconds.
The maximum height reached by the toy rocket is; 88 feet.
What is the maximum height reached by the rocket?It follows from the task content that the maximum height reached by the rocket is to be determined.
The given function is; h (t) = -16 t² + 72t + 7.
Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.
Therefore; at maximum height;
h'(t) = 0
h'(t) = -32t + 72 = 0
-32t = -72
t = -72/-32
t = 2.25 seconds.
Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.
Also, the maximum height reached by the rocket is at; h (2.25);
h(2.25) = -16(2.25)² + 72 (2.25) + 7
= -81 + 162 + 7
= 88.
The maximum height reached is; 88 feet.
Read more on maximum height;
https://brainly.com/question/82347
#SPJ1
Question
Find the area of the trapezoid in the figure below. Round your final answer to the nearest tenth.
helpp
The area of the trapezoid is 26 square units
How to get the area of the trapeziumArea of trapezoid
= (sum of parallel lines) /2 * height
Length of the longer parallel line is solved using Pythagoras theorem is applicable to right angle triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
hypotenuse = 5
opposite = 4
adjacent = ?
hypotenuse = 7.2
opposite = 4
adjacent = ?
adjacent = √(hypotenuse² - opposite² )
adjacent 1 = √(5² - 4² ) = 3
adjacent 2 = √(7.2² - 4² ) = 5.987 ≅ 6
length of the longer parallel line
= 3 + 2 + 6
= 11
Area of trapezoid
= (sum of parallel lines) /2 * height
= (2 + 11) /2 * 4
= 6.5 * 4
= 26 square units
Learn more on Pythagoras theorem here:
https://brainly.com/question/29241066
#SPJ1
Find the value of x and y.
The value of x and y will be x = 16° and y = 20°
What is Angles?
In Euclidean geometry, an angle is the shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. The plane that contains the rays contains the angles created by two beams. The meeting of two planes might also result in an angle. Dihedral angles are what these are.
We can write
(6x + y) = (x + 5y)
[By corresponding angles]
6x + y = x + 5y
6x - x = 5y - y
5x = 4y
x = 4y/5
Now by linear pair
4x + (6x + y) = 180
4x + 6x +y = 180
10x + y = 180
By putting the value of x
10(4y/5) + y = 180
8y + y = 180
9y = 180
y = 180/9
y = 20°
Putting the value of y in x we get
x = 4(20) / 5
x = 4(4)
x = 16°
Hence, value of x = 16° and y = 20°
To learn more about Angles click on the link
https://brainly.com/question/25716982
#SPJ13
PLEASE HELP! 70pts!
Solve for x. SHOW YOUR WORK!
2^(3x+1)=1/4
Answer:
x = -1
Step-by-step explanation:
A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 7, s(0) = 5, v(0) = −8 s(t) =
Answer:
[tex]s_(_t_)=\frac{1}{3}t^3+\frac{7}{2}t^2-8t+5[/tex]
Step-by-step explanation:
1.)
[tex]a_t=v'_t\\v_t=\int(a_(_t_)dt\\v_t=\int(2t+7)dt\\v_t=t^2+7t+C\\[/tex]
2.)
[tex]v_0=-8\\-8=(0)^2+7(0)+C\\C=-8\\v_t=t^2+7t-8[/tex]
3.)
[tex]v_t=s'_t\\s_t=\int(v_t)dt\\s_t=\int(t^2+7t-8)dt\\s_t=\frac{1}{3}t^3+\frac{7}{2}t^2-8t+C\\[/tex]
4.)
[tex]s_0=5\\5=\frac{1}{3}(0)^3+\frac{7}{2}(0)^2-8(0)+C\\C=5\\s_t=\frac{1}{3}t^3+\frac{7}{2}t^2-8t+5[/tex]
The top-grossing movies last year were Movie A with $ 700 million, Move B with $ 680 million, Movie C with $ 610 million, and Movie D with $ 420 million. Suppose we randomly selected all possible samples of two of these 4 movies and plotted the sample mean gross profit for each of these samples. The distribution would best be described as:
an approximate sampling distribution.
the complete sampling distribution
the population distribution
the sample distribution"
The given distribution would best be described as the complete sampling distribution. which is the correct answer would be option (B).
What is the sampling distribution?
In statistics, sampling distribution refers to the study of multiple random samples drawn from a particular population depending on a specified property. The acquired data paint a clear picture of the changes in the likelihood of the outcomes determined. As a consequence, the analysts are aware of the outcomes ahead of time, allowing them to plan their appropriate steps.
All available samples of two of these four movies were chosen at random, and the sample means gross profit for each of these samples was shown.
Thus, the given distribution would best be described as the complete sampling distribution.
Hence, the correct answer would be an option (B).
To learn more about the sampling distribution click here:
https://brainly.com/question/29375938
#SPJ1
A scientist measured the thicknesses of some rat and squirrel hairs.
Using the data below, work out the numbers which complete the following sentences:
a) The median thickness of squirrel hair is _ % more than that of rat hair.
b) The interquartile range of squirrel hair thicknesses is ___% less than that of rat hair.
The median thickness of squirrel hair is 25% more than that of rat hair.
The interquartile range of squirrel hair thicknesses is 50% less than that of rat hair.
What is the box and whisker plot?A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.
The line (and dot) in the middle of the box represents the median.
As per the given question,
The median of squirrel hair is 35.
The median of rat hair is 28.
Thus, the median thickness of squirrel hair is 25% more than that of rat hair.
The extreme right end of the whisker represents the maximum value.
In this question,
the maximum value of squirrel hair is 37.
the maximum value of rat hair is 34.
The extreme left end of the whisker represents the minimum value.
In this question,
the minimum value of squirrel hair is 25.
the minimum value of rat hair is 19.
The interquartile range of squirrel hair = 37-25 = 12
The interquartile range of rat hair = 25 - 19 = 6
Thus, the median thickness of squirrel hair is 25% more than that of rat hair. The interquartile range of squirrel hair thicknesses is 50% less than that of rat hair.
To learn more about the box and whisker plot click here:
https://brainly.com/question/11859288
#SPJ1
Calculate JK if LJ=60, JM=63 and LM=87
The value of line JK in the triangle is 25.2
What is trigonometry?Trigonometry is the branch concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec).
In the right-angled triangle JLM, LM is the hypotenuse, JM is the adjacent and JL is the opposite to angle M
therefore JM = √(LM)^2- (JL)^2
JM = √87^2- 60^2
JM = √3968
JM = 63
sinM= LJ/LM
sinM= 60/87
sinM=0.69
M=sin^-0.69
M= 43.6
angle M is bisected into two
M/2= 43.6/2= 21.8
in Triangle JLM
sin21.8= JK/63
Jk= sin21.8×63
JK= 25.2
learn more about trigonometry from
https://brainly.com/question/24349828
#SPJ1
Cool Down 4.3
Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x - 6 = 10
6x - 3 = 5
Step 2:
6x - 3 = 5
6x = 8
Step 3:
6x = 8
x =
Descriptions to match to each step:
A. Add 3 to both sides
B. Multiply both sides by
C. Divide both sides by 2
The equation balancing to each steps are has follows
Step 1: ---------- C. Divide both side by 2
Step 2: --------- A. Add 3 to both sides
Step 3: ----------B. Multiply both side by [tex]\frac{1}{6}[/tex]
Equation balancing
Equation balancing is the accurate description of the step taking in an equation.
Step 1 : --------C . Divide both side by 2
12x - 6 = 10
6x - 3 = 5
step 2: ---------A. Add 3 to both sides
6x -3 =5
6x = 8
step 3:-----------B. Multiply both side by [tex]\frac{1}{6}[/tex]
6x = 8
x = [tex]\frac{4}{3}[/tex]
Therefore, the matching description to each steps are:
Step 1: ---------- C. Divide both side by 2
Step 2: --------- A. Add 3 to both sides
Step 3: ----------B. Multiply both side by [tex]\frac{1}{6}[/tex]
Learn more about equation balancing here; https://brainly.in/question/322652
#SPJ1
At a food festival, 38 of the dishes were from China. Another 12.5% of the dishes were from Japan. What percent of the dishes were from other countries?
If 3/8 fraction of the dishes were from China and another 12.5 percent from Japan, it implies that 50 percent were from other countries.
How is the percentage determined?Firstly, we convert the proper fraction to a percentage by expressing it over 100.
Secondly, the percentages of China and Japanese dishes are added before being subtracted from 100%.
The resulting difference is the percentage of dishes from other countries.
In summary, unit conversion, expressing the fraction as a percentage, and mathematical operations of addition and subtraction are involved.
Dishes from China = 3/8 = 0.375 or 37.5% (3/8 x 100)
Dishes from Japan = 12.5%
Dishes from other countries = 50% (1 - 37.5% - 12.5%)
Thus, the percentage of dishes from other countries is 50%.
Learn more about percentages at https://brainly.com/question/24877689
#SPJ1
Question Completion:At a food festival, 3/8 of the dishes were from China. Another 12.5% of the dishes were from Japan.
Estimate the average by first rounding to the nearest 100:
120, 230, 455, 175
Answer:
250.
Step-by-step explanation:
First we need to round to the nearest 100:
120 rounded to the nearest 100 is 100.
230 rounded to the nearest 100 is 200.
455 rounded to the nearest 100 is 500.
175 rounded to the nearest 100 is 200.
So, we have the numbers 100, 200, 500, and 200.
To find the average of numbers, we need to add them up and divide the number we get by how many numbers we added:
100 + 200 + 500 + 200 = 1,000
Since we added 4 numbers, we divide by 4:
1,000 divided by 4 = 250.
We don't round to the nearest 100 for 250 because the question said to only round for the original numbers. But, if i am wrong somehow, 250 rounded is 300.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
The formulas below give the cost and revenue functions for a company that manufactures and sells a certain product.
Cost C(x) = 24,000+19x
Revenue R(x) = 31x
Determine the profit function for the company.
The profit function for the company is 12x - 24000.
Given,
Cost function, C(x) = 24,000+19x
Revenue function, R(x) = 31x
Profit function, P(x) = R(x) - C(x)
= 31x - (24000 + 19x)
= 31x - 24000 - 19x
= 12x - 24000
Hence, P(x) = 12x - 24000.
To learn more about function here:
https://brainly.com/question/28303908
#SPJ1
Choose ALL answers that describe the quadrilateral TUVWTUVW if \text{m}\angle T = 45^{\circ}m∠T=45
∘
, \text{m}\angle U = 146^{\circ}m∠U=146
∘
, \text{m}\angle V = 60^{\circ}m∠V=60
∘
, and \text{m}\angle W = 109^{\circ}m∠W=109
∘
.
Parallelogram
Quadrilateral
Rectangle
Rhombus
Square
Trapezoid
The option that describe the quadrilateral is
QuadrilateralHow to choose the best optionThe choice is made by having a good idea of the properties of the given figures
Starting with quadrilateral: this is a four sided figure, A quadrilateral may also be a parallelogram
Parallelogram refers to figures that has parallel lines
A rectangle is a special type of parallelogram that has two opposite sides equal and equal angles of 90 degrees
A rhombus is a parallelogram that has all the sides equal but only the opposite angles are equal. square is similar to rhombus but has all angles equal to 90 degrees
All other figures except Quadrilateral are parallelogram and the distinctive feature of a parallelogram here is that the adjacent angles of a parallelogram are supplementary,
None of the given pairs of angles add up to give 180 degrees hence we say they are not supplementary and not a parallelogram
All the figures can be classified quadrilateral but not all quadrilateral are parallelogram
sum of angles of a quadrilateral is 360 degrees
45 + 146 + 60 + 109 = 360
Learn more about parallelogram here:
https://brainly.com/question/20526916
#SPJ1
The original sale price of Levi's jeans at Sm Department store is Php 1 300.00. On February 14, all jeans will have a 40% discount. How much is the discounted price of that jeans on Valentine's day?
The discounted price of that jeans on Valentine's day is Php 780.
What is the discounted price?From the information, the original sale price of Levi's jeans at Sm Department store is Php 1 300.00 and on February 14, all jeans will have a 40% discount.
The amount of the discount will be:
= Percentage of discount × Sales amount
= 40% × 1300
= 0.4 × 1300
= 520
The discount is Php 520
Discounted Price = 1300 - 520
= Php 780
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
Which statements are true about the ordered pair (7, 19) and the system of equations? {2x−y=−5x+3y=22 Select each correct answer. Responses The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true. The ordered pair , begin ordered pair 1 comma 19 end ordered pair, is a solution to the first equation because it makes the first equation true. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true. The ordered pair , begin ordered pair 1 comma 19 end ordered pair, is a solution to the second equation because it makes the second equation true. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false. The ordered pair , begin ordered pair 1 comma 19 end ordered pair, is not a solution to the system because it makes at least one of the equations false. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
The true statement about this system 2x - y = 0 and 5x + 3y = 22 is
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given are two equations 2x - y = 0 and 5x + 3y = 22.
The ordered pair (7, 19) is not a solution to this system as these two equations do not intersect each other at (7, 19).
learn more about the ordered pair here :
https://brainly.com/question/28874341
#SPJ1
Answer:
the answers are 2 choices
1- The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
2- The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
Step-by-step explanation:
i took the k12 test and got these as the answers correctly
Bert has 100 cards.
There is a whole number from 1 to 100 on each card.
No cards have the same number.
Bert puts a star on every card that has a multiple of 3 on it.
He puts a circle on every card that has a multiple of 5 on it.
Work out how many cards have both a star and a circle on them.
The picture is right here
Solve for v.
7v+2=10+6v
v=
Answer:
v = 8
Step-by-step explanation:
Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.) Auto: $30,000 Estimated life: 5 years Residual value: $800 Year Cost Accumulated Depreciation B.O.Y Book Value B.O.Y Depreciation Expense Accumulated Depreciation E.O.Y Book Value E.O.Y 1 $30,000 A B C D E 2 $30,000 F G H I J 3 $30,000 K L M N O
The table is completed as follows using the double-declining-balance method of depreciation:
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
The double-declining-balance approach is what?
The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.
In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.
At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.
The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.
Auto = $30,000
Estimated useful life = 5 years
Residual = $800
Depreciable amount = $30,000 - $800 = 29,200
Straight-line depreciation rate = 100/5 = 20%
Double-declining depreciation rate =20% x 2 = 40%
Depreciation Expense:
1st year = 30,000 x 40/100 = 12,000
2nd year = 18,000 x 40/100 = 7,200
3rd year = 10,800 x 40/100 = 4,320
4th year = 6,480 x 40/100 = 2,592
5th year = 3,888 x 40/100 = 1,555
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
4 $30,000 $23,520 $6,480 $2,592 $26,112 $3,888
5 $30,000 $26,112 $3,888 $1555 $27,667 $2,332
Learn more about declining balance method here;
https://brainly.com/question/29335025
#SPJ1
a fibonacci sequence begins: 1,1,2,3,5,8...
what is the 7th number in the sequence?
Begining with the third term, each term of the sequence is the sum of the preceding two.
1+1 = 21+2 = 32+3 = 53+5 = 85+8 = 13You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0. How confident can you be that your predicted value will be reasonably close to the actual value?
Responses
I can’t be confident at all; this is about as close to a random guess as you can get.
I can be a little confident; it might be close, or it might be way off.
I can be very confident; it will be close, but it probably won’t be exact.
I can be certain that my predicted value will match the actual value exactly.
The correct option regarding the correlation coefficient is that A. I can’t be confident at all; this is about as close to a random guess as you can get.
What is a correlation coefficient?The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. Its values can range between -1 and 1. A correlation coefficient of -1 denotes a perfect negative, or inverse, correlation, in which values in one series rise while those in the other fall, and vice versa.
A coefficient of one indicates that there is a perfect positive correlation, or a direct relationship. A correlation coefficient of 0 indicates that no linear relationship exists. In science and finance, correlation coefficients are used to assess the degree of association between two variables, factors, or data sets.
In this case, the fat that the person gets 0 implies that it's probably a random guess. In conclusion, the correct option is A.
Learn more about correlation on:
https://brainly.com/question/27842223
#SPJ1
√36+√-63-√100+ √-112
Answer:
-4 + 18.5202592 i
Step-by-step explanation:
-4 + 18.5202592 i
there you go
For each function, select whether it’s inverse is a function or not a function. refer to the attached picture.
The inverse of the function is also a function for each part.
What is function?
a function from a group X to a group Y assigns to every component of X specifically one component of Y.
Main body:
In order to have an inverse function, a function must be one to one.
In the case of
f(x)=x⁴we find that f(1)=f(−1)=1. So f(x) is not one to one on its implicit domain R.
If we restrict the domain of
f(x) to [0,∞) then it does have an inverse function, namely:
f−1(y)=⁴√y
Some more details...
In general, if you want to find the inverse of a function
f(x) then set y=f(x) and attempt to solve for x.
In our example, put:
y=f(x)=x⁴
Then taking the square root of both ends, allowing for both possible
signs we find:
±√y=x²
Assuming that we are only interested in real values of x, we require the left hand side to be non-negative, so assume the non-negative square root.
Then take the square root of both sides again to get:
±√√y=x
That is:
x=±√√y=±⁴√y
Note that this does not give us a unique value of x in terms of y.So the inverse function is not defined, unless we have a restriction such as x≥0, i.e. restrict the domain of f(x) to be [0,∞).
Hence y = x⁴ has inverse and its inverse is also function.
Similarly for each of the parts it is true.
To know more about function click on the link below
https://brainly.com/question/11624077
#SPJ1
HELP DUE TOMORROW GUYS
Answer:
x = 15
Step-by-step explanation:
8x + 9 and 51 are same- side interior angles and sum to 180° , then
8x + 9 + 51 = 180
8x + 60 = 180 ( subtract 60 from both sides )
8x = 120 ( divide both sides by 8 )
x = 15
3y=5x-6 into slope intercept form
y=5/3x -2
slope: 5/3
y-intercept: (0,-2)
Which graph represents a function?
The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.
A graph titled Lunch Cost. The x-axis shows the number of slices purchased, numbered 1 to 8, and the y-axis shows the cost in dollars, numbered 5 to 40. Blue diamonds appear at points (0, 7.5), (1, 10), (2, 12.5), (3, 15), (4, 17.5), (5, 20), (6, 22.5), (7, 25), (8, 27.5).
For each additional slice of pizza that is purchased, by how much does the total cost of lunch increase?
$1.50
$2.00
$2.50
$3.00
For each additional slice of pizza that is purchased, the total cost of lunch is increase by $2.5
First choose two points
(1, 10) and (2, 12.5)
The cost of one slice of pizza = $10
The cost of two slice of pizza = $12.5
Using these points we have to find the slope of the line
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the graph
The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope of the line
[tex](x_1,y_1)[/tex] is the coordinates of the first point
[tex](x_2,y_2)[/tex] is the coordinates of the second point
Substitute the values in the equation
Slope of the line = (12.5 - 10) / (2-1)
= 2.5/1
= $2.5
Hence, for each additional slice of pizza that is purchased, the total cost of lunch is increase by $2.5
Learn more about slope of the line here
brainly.com/question/16180119
#SPJ1
