The following table correctly outlines the process for finding the inverse relation for f(x)=14x+32. f(x)=14x+32 Begin with the original function. y=14x+32 Change f(x) to y. x=14y+32 Switch x and y. x−32=14y+32−32 Apply the _[blank]_. 41⋅(x−32)=41⋅14y Apply the Division Property of Equality. 4x−6=y Simplify. Which property correctly fills in the blank in the table?
Answers
Solution:
The expression is given below as
\(x-\frac{3}{2}=\frac{1}{4}y+\frac{3}{2}-\frac{3}{2}\)Concept:
The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal.
Hence,
The final answer is
Subtraction property of equality
The THIRD OPTION is the right answer
Related Questions
Last week, Vernon worked the following days and times:
Day 1: 5 hours, 15 minutes
Day 2: 6 hours, 30 minutes
Day 3: 3 hours, 45 minutes
Day 4: 4 hours, 0 minutes
Find Vernon's total time worked in decimal hours.
20.00
18.90
18.45
19.50
Answers
The total time worked by Vernon in decimal hours is 19.50 hours.
How to find the total time worked in decimal?Last week, Vernon worked the following days and times:
Day 1: 5 hours, 15 minutesDay 2: 6 hours, 30 minutesDay 3: 3 hours, 45 minutesDay 4: 4 hours, 0 minutesTherefore, the total time Vernon worked in decimal hours can be calculated as follows:
We have to sum the whole time Vernon worked in the 4 days.
Therefore, we have to convert all the minutes to hours.
total time worked = 5.25 + 6.5 + 3.75 + 4
total time worked = 19.50 hours
Therefore,
total time worked by Vernon = 19.50 hours
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In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answers
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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solve for x in the equation x2+6x-6=10
Answers
Answer:
Step-by-step explanation:
\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)
Answer:
X = 2 and X = -8
Step-by-step explanation:
X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10
X2 + 6X -16 =0
here we need to find if there are two numbers there sum is +6 and there product is -16.
here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8
-2+8= +6
-2*8= -16
( X - 2 ) * ( X + 8 ) =0
X - 2 = 0 ...... when -2 pass equality sign it will become+2
X = 2
X + 8 =0 ..... when +8 pass equality sign it will become -8
X = -8
How many liters each of a 30% acid solution and a 50 % acid solution must be used to produce 70 liters of a 40 % acid solution? (Round to two decimal places if
necessary.)
Answers
Answer:
30%: 35 liters
50%: 35 liters
Step-by-step explanation:
The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.
35 liters of 30% acid and 35 liters of 50% acid must be used
_____
If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...
0.50x +0.30(70 -x) = 0.40(70)
0.20x +21 = 28 . . . . simplify
0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20
x = 35 . . . . . . amount of 50% solution (liters)
70-x = 35 . . . amount of 30% solution (liters)
I need to determine the perimeter of this rectangle 5cm x 9cm
P= cm
A=cm
Answers
Answer:
5+5+9+9 = 28 cm
Step-by-step explanation:
to determine perimeter add the length of each side (2 sides = 5cm and two sides = 9cm.)
there are 60 minutes in one hour and 60 seconds in one minute. Using this information, explain how you could convert 20 miles per hour to feet per second
Answers
The conversion is given as 1, 760 feet per second
How to convert the valueWe need to convert 20miles per hour to feet per second
First, we should convert miles to feet
1 mile = 5280 feet
Then,
20 miles = x
Cross multiply
20 × 5280 = x
x = 105, 600
Per hour = I hour = 60 seconds
To find the conversion, we divided the conversion to feet by that of the time
= 105, 600/60
= 1, 760 feet per second
Thus, the conversion is given as 1, 760 feet per second
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In order to determine how much paint he needs to paint the front of his house, Joe is calculating the area he’ll be painting (the shaded region). The door is 7 feet by 3 ft. The large window is 5 ft by 3 ft. Each small window is 2 ft by 3 ft. Show work
Answers
Answer:
I found a matching diagram to the question online:
The area to be painted = 464.5 ft²
Step-by-step explanation:
Total area of the figure = area of the rectangle + area of the triangle.
Area of rectangle = Length × Breadth
Length = 25ft
Breadth = 15ft
Area of rectangle = 25 × 15 = 375 ft²
Note that we will subtract the unshaded regions because he will be painting the shaded regions only.
Area of door = 7 × 3 = 21 ft²
Area of large window = 5 × 3 = 15 ft²
Area to be painted on rectangle = total area - area of door - area of large window
= 375 - 21 - 15 = 339 ft²
Next let us solve for the triangle:
Area of triangle = 1/2 base × height
base = 25 ft
height = 26 - 15 = 11 ft
∴ Area of triangle = 0.5 × 25 × 11 = 137.5 ft²
Remember that we will subtract the area of the unshaded part.
unshaded region = 2 small windows
Areas of two small windows = 2 × ( 2 × 3) = 2 × 6 = 12 ft²
Therefore area of shaded portion of triangle = 137.5 - 12 = 125.5 ft²
Total area to be painted = shaded areas of (rectangle + triangle)
= 339 + 125.5 = 464.5 ft²
Answer:
look the real answer is 10ft
Step-by-step explanation:
why i tryed his answer and got it wrong.
A blueprint of an apartment is shown below. What is the actual length of the longest wall in the living room in feet? 0.5 inch : 6 feet Living Room Bedroom Bath 1.5 in.
Answers
Answer:
36 feet long.
Step-by-step explanation:
If the longest wall in the living room is referring to the side that I have drawn over in white and red in the attached image, or if it is the leftmost wall, then that wall is 36 feet long. For every half inch, it is 6 feet, so because there are 6 'half inches' in 3, you multiply 6 feet by the 6 half inches there are, and get 36. There are simpler ways to solve it but I can't take a picture of my work, so I hope this helps. Good luck.
The actual length of the longest wall in the living room is 36 feet.
The blueprint is a scale drawing of the apartment. A scale drawing is a smaller diagram of a large image. A scale drawing is reduced by constant dimensions.
Looking at the given image, the longest wall is 3 inches.
The length of the longest wall in the apartment : (3 in x 6) / 0.5
=18 / 0.5
= 36 feet
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The probability distribution for a
random variable x is given in the table.
х
-5
-3
-2
0
2
3
Probability
.17
:13
.33
.16
.11
.10
Find the probability that x<-3
Answers
This is the probability that corresponds to x = -5, which is less than x = -3, and it's the only x value of the list smaller than -3. There's not much else to say about this.
If we wanted to find something like P(X < -2), then we would add up the probabilities for x = -5 and x = -3 to get 0.17+0.13 = 0.30
Which arithmetic sequence has a common difference of -21?
{1,245; 1,224; 1,203; 1,182; …}
{32, 20, 8, -4, …}
{873, 894, 915, 936, …}
{1,563; 1,587; 1,611; 1,635; …}
WILL GIVE BRAINLIEST!!!!
Answers
Answer:
first one
just subtract 21 from each number
Answer:
C - {873, 894, 915, 936, …}
Step-by-step explanation:
Difference means subtraction. So, subtract -21 from the number to get your next value.
1245 - (-21) = 1266 So, A is not the answer
32 - (-21) = 53 So, B is not the answer.
873 - (-21) = 894 So, C is the answer.
1563 - (-21) = 1584 So, D is not the answer.
To double check, subtract -21 from the other numbers too.
873 - (-21) = 894
894 - (-21) = 915
915 - (-21) = 936
and so on...
This matches up with the list of numbers on option C so it it correct.
I hope this helps you Cheers!
Please help me with this
Answers
Answer:
Y= -5/3x -1
Step-by-step explanation:
An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide.
1. What scale factor is being used to make the image?
A scale factor of
2. How tall is the actual book?
inches
Answers
Answer: 6, 18
Step-by-step explanation:
a. actual width/scaled width = 9/1.5 = 6
b. scaled width*scale factor = 3*6 = 18
The magnitude of the electrostatic force between two point charges Q and q of the same sign is given by F(x)
, where x is the distance between the charges and k is a physical constant (C stands for coulomb, the unit of charge; N stands for newton, the unit of force). Use this information to answer parts (a) through (c) below.
Answers
Answer:
The electrostatic force between two charges Q1 and q is given by
where
ke is the Coulomb's constant
Q1 is the first charge
q is the second charge
r is the distance between the two charges
Re-arranging the formula, we have
and since we know the value of the force F, of the charge Q1 and the distance r between the two charges, we can calculate the value of q:
And since the force is attractive, the two charges must have opposite sign, so the charge q must have negative sign
Step-by-step explanation:
And since the force is attractive, the two charges must have opposite sign, so the charge q must have negative sign.
Please help must be solved by using substitution
Answers
Answer:
y = -0.1, x = 1.6
Step-by-step explanation:
Substitution is just stating one variable as another.
Lets use the first equation to substitute:
2x - 3 = -2y
2x = -2y - 3
x = -y - 1.5
Now, let's plug this in to the next equation
3x - 12y = -3
We use x as -y - 1.5 instead
3(-y - 1.5) - 12y = -3
-3y - 4.5 - 12y = -3
-15y = 1.5
y = -0.1
If we plug this back into the first equation we get x
2x - 3 = -2(-0.1)
2x - 3 = 0.2
2x = 3.2
x = 1.6
Hope this helped!
The 2148 guests at a hotel have the choice to either go on a boat tour or go scuba diving. people decided to go scuba diving. people decided to neither scuba dive nor go on a boat tour. Each boat holds people. How many boats are needed?
Answers
The number of boats needed for 1491 people are 20.
What is the cross-product?
The cross product, also known as the vector product in mathematics, is a binary operation on two vectors in a Euclidean vector space that is oriented in three dimensions. It is represented by the symbol times.
We have,
134 people decided to go scuba diving,
523 people decided to neither scuba dive nor go on a boat tour,
So, people go to boat tour = 2148 -(134 + 523)
= 2148 - 657
= 1491
now, since each boat holds 78 people.
\(\frac{1491}{78} = 19\frac{3}{26}\)
= 20 boats.
Hence, the number of boats needed for 1491 people are 20.
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Complete Question
The 2148 guests at a hotel have the. the choice to either go on a boat tour or go scuba diving. 134 people decided to go scuba diving. 523 people decided to neither scuba dive nor go on a boat tour. Each boat holds 78 people. How many boats are needed? Explain your reasoning.
a rectangular piece of cardboard measuring 30 inches by 20 inches is made into an open box by first cutting an identical square from each corner and then folding up the sides. The edge of each identical square is a whole number.
Answers
Which situation(s) has (have) a net result of zero?
Select ALL that apply.
The temperature was -5 °F and fell 5 degrees.
O Rich owed Peter $3 then spent $3.
A plane reaches an altitude of 15,000 feet then descends
15,000 feet.
D
Combine two atoms each with a charge of negative 2 and one atom
with a charge of positive 4.
D
Stephen deposited $100 in his bank account then bought a $100
coat.
Tameka drove from a city with an elevation of 39 feet to a city with
an elevation of 78 feet.
Answers
The situations that have a net result of zero are:
Rich owed Peter $3 then spent $3.Combine two atoms each with a charge of negative 2 and one atom with a charge of positive 4.Which situation(s) has (have) a net result of zero?The first situation results in a debt of $3 and then payment of $3, which cancels out the debt.
The second situation involves combining three atoms with a total charge of zero (2 atoms with a charge of negative 2, and 1 atom with a charge of positive 4).
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Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
Answers
Answer: y = 9x2 + 18x – 6
Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
(40 POINTS) A newly hired lawyer receives a $15,000 signing bonus from a law firm and invests the money in a savings account at 4.75% interest. After 42 months, the lawyer checks the account balance.
Part A: Calculate the interest earned, to the nearest dollar, if the interest is compounded quarterly. Show all work. (2 points)
Part B: Calculate the interest earned, to the nearest dollar, if the interest is compounded continuously. Show all work. (2 points)
Part C: Using the values from Part A and Part B, compare the interest earned for each account by finding the difference in the amount of interest earned. (1 point)
Answers
Answer:
after 42 months he has $2,696 in interest
compound quarterly is equivalent to annual rate of 4.835%
Part b
after 42 months he has $2,713 compound continuously
the diffrence is $17
15000 + 4.75% · 42 compound quarterly is $2,696
15000 + 4.75% · 42 compound continuously is $2,696
Answer:
Step-by-step explanation:
Stop posting FLVS questions on this website. It is illegal, and you can be expelled from the program. :)
Histogram i would like someone to look it over for me please and thank you!
Answers
To complete the grouped frequency distribution for the data with a class width of 4, you can start by first obtaining the range of the data, determining the lower limit of the first class interval, and the upper limit of each class interval.
How to complete the grpuped frequency distributionAfter you have determined the upper limit of each class interval, the next thing to do will be constructing a table that shows the columns for the class intervals, the frequency of each interval, and the cumulative frequency.
Count the number of data points that fall into each class interval, and record these frequencies in the frequency column of the table. Add up the frequencies to get the cumulative frequencies. Finally, use the figures obtained to determine the mean, median and mode.
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If Sharpie markers are on sale for 10 markers for $8.00, how many markers can be bought for $24.00?
Answers
Answer:
30 markers
Step-by-step explanation:
We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!
8. Preston brushes his teeth for 9.562 seconds. a) What is his brushing time rounded to the nearest tenth? b) To the nearest hundredth? c) To the nearest whole number? d) Write his time in expanded notation.
Answers
Answer:
a) 9.6 b)9.56 c)9
Step-by-step explanation:
Find the midpoint of the segment between the points (17, 1) and (-2,8)
a. (15, 9)
b. (-15,-9)
c. (19/2, -7/2)
d. (15/2, 9/2)
Answers
Answer:
Option d
Step-by-step explanation:
(17+(-2))/2 , (8+1)/2
which is,
15/2, 9/2
Answered by GAUTHMATH
Please help!
I need the answers for E and F!
Please use the correct theorem! I will give brainliest to the first answer!!!!
Answers
Answer:
wait can you post the questions
WILL MAKE BRAINLIEST!!!
find the slope of the line through each pair of points.
Answers
Answer:
A, B, D, A, B, A
Step-by-step explanation:
Use the formula y2-y1/ x2-x1
1 is -13/18
2 is 0
3 is 2/5
4 is -5/3
5 is -4/33
6 is -8/11
Hopefully this helps! Let me know if you have any questions
Which sentence contains a gerund phrase?
The goal of the class was learning how to use a computer keyboard.
Washing clothes regularly allows Annabelle to always have something clean to wear.
To sing with the Metropolitan Opera has been my dream throughout my life.
Troubled by the noise from the trains, Cole began to wear sound-muting headphones.
Answers
Answer:
its b
Step-by-step explanation:
i took the test
Answer: its b cause i took the test and got it right
What is the median of the data set?
16, 21, 28, 30, 40, 45, 54, 58
A. 58
Β. 35
C. 10
D. 19
Answers
Answer:
I think 10 is the answer it's not sure.
PLEASE HELP: Tangent, Sine, or Cosine? Please only answer if you know I genuinely need help. WILL GIVE BRAINLIEST IF CORRECT
Answers
Answer:
cosine
Step-by-step explanation:
cos 27=x/20
x=20 cos 27≈17.82
What is the probability that the upturned face of a standard cube is 6 or less
Answers
Answer:
1
Step-by-step explanation:
6 or less is half the numbers on the cube.
6/6 simplifies to 1
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
-1/2
2
-2
1/2
Answers
Answer:
The slope would be 2
Step-by-step explanation:
Please brainliest!
And hope this helped you!
I also answered first!
And tell me If I am wrong! :D