The equation of the inverse function is f⁻¹(x) = x/7 - 3/7
How to determine the inverse functions?The function f(x) is given as
f(x) = 7x + 3
As a general rule, we start by writing f(x) as a variable (say f(x) = y).
So, the equation of the function becomes
y = 7x + 3
The next step is to switch/swap the positions of x and y in the above equation y = x + 5
The equation becomes
x = 7y + 3
The next step is to make y the subject of the formula in the above equation
The equation becomes
y = x/7 - 3/7
Express as an inverse function
f⁻¹(x) = x/7 - 3/7
Hence, the inverse is f⁻¹(x) = x/7 - 3/7
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A student measured the length of a room and obtained the measurement of 3.99m. If the percentage error of his
measurement was 5% and his own measurement was smaller than the length, what is the length of the room?
A. 3.78m B. 3.80m C. 4.18m D. 4.20m
Answer:
D)
Step-by-step explanation:
Percentage word problems:Let the original length be 'x'.
Percentage error = 5 %
So, (100 -5)% = 95% of the original measurement is 3.99 m
95% of x = 3.99
[tex]\sf \dfrac{95}{100}*x = 3.99[/tex]
[tex]\sf x = \dfrac{3.99*100}{95}\\\\x = \dfrac{399}{95}\\\\\\x = 4.2 m[/tex]
Original length = 4.2 m
Two angles whose sum is 180°are supplementary angles. find the measure of the supplementary angle shown in the figure. The smaller angle measures.
Answer:
8x+7+11x+2=180
11x_8x +7+11=180
3x+18=180
3x=180_18
3x=168
x=168÷3
x=56
Divide 7200 in ratio 1/3,1/6,1/4
Answer:
The correct Answer is 4:2:3
Step-by-step explanation:
ABC in the ratio 1 by 3 1/2 1/4 money is distributed ABC is equal to 2 by 3 egg be caused by a and c equal to 1 by 4 BC value a + b + c will be 7200
36 X + 1 by 4 X equal to 7203 B12 for dual is right down here now divide 12343 12 and 4 x is 144 Avenger 4 Hindi 2020 worldwide 6 then it will be 2 and 2 X 1 will be 2 + 12 and 72 value will be 9 x 12 equal to make a call to 7212 989 and
n7200 will be divided by 3 and answer will be 2424 4 will be 9696 amount of a 1 by X equal to 1 by 3 X 9600 equal to 3200 amount of the one my c equal to 1 by 6 multiply 9600 be 1602 14 x 9600 will be 2400
solution of this question
Draw the graph that will show the relationship between indoor plants sold and the profit.
Plants (x)
12
13
14
15
16
17
Profit (y)
600
900
1,200
1,500
1800
2100
Answer:
4y
Step-by-step explanation:
the graph is that also 02929393 i needed points
Evaluate the following algebraic expression: 64-9p when p=4
Answer:
28
Step-by-step explanation:
64 - 9(4)
64 - 36
28
The mass of an adult North Pacific right whale is about 70,000 kg, or 7 x 104
kg.
The mass of a male polar bear is about 700 kg, or 7 x 10² kg.
About how many times more massive is the right whale than the polar bear?
Answer:
The right whale is 100 times more massive that the polar bear
Step-by-step explanation:
7 x 10^2 = 700 kg
7 x 10^4 = 70,000kg.
70,000 / 700 = 100Check: 700 x 100 = 70,000
(the equivalent mass of 10 polar bears equals that of one whale)
:)
Claire’s mom is 4 years older than twice Claire’s age. The sum of their ages is 58 years. Claire’s age is ___ years, and her mothers age is ____ years
Claire is 18 years old and her mother is 40 years old.
Answer with explanation:
Let Claire's age = x years
Age of Claire's mother =(2 x +4 ) years
Sum of the ages of Claire and her mother =58 years
If we write the above statement in terms of equation , it will be
⇒ x + 2 x +4=58
⇒3 x +4=58
⇒3 x =58 -4
⇒3 x =54
Dividing both side by , 3 , we get
→x=18
Claire's age = 18 years
Age of Claire's mother =(2 x +4 )=2×18+4=36+4= 40 years
The sum of their ages is 58. The "sum of their ages" includes:
Claire's age + 2(Claire's Gage) + 4 = 58
3(Claire's age) + 4 = 58
3 x Claire's age = 58 -4 = 54
Claire's age= 54/3 = 18
Claire is 18 years old.
Since Claire's mom is 4 years older than twice clears age, her age is (18 x 2) + 4 = 40
So Claire is 18 and her mother is 40
I hope this helps!
In a local election between candidates A and B, candidate B got 48 votes, which is 120% as many votes as candidate A. If p represents the number of votes won by candidate A, then which proportion can be used to find p? A. B. C. D.
Answer:
canadate A =4 votes
Step-by-step explanation:
Answer:
A. 125/100 = p/35
Step-by-step explanation:
" I hope it helps : - ) "
IXL Please Help Fast!
The skew lines in the prism shown, considering their definition, are given as follows:
QT and WX.
What is the definition of skew lines?Skew lines are pairs of lines that share these two features:
The two lines are not parallel.The two lines are not intersecting.Hence, for each option in this problem, we have that:
QT and UX are not skew lines, as they are parallel lines.QU and UV are not skew lines, as they intersect at the vertex U.QT and WX are skew lines, as they are neither parallel nor intersecting.VW and WX are not skew lines, as they intersect at the vertex W.Hence there is only one pair of skew lines, given by lines QT and WX, thus only the third option should be marked.
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The mean age of 12 women in an office is 22 years old.
The mean age of 3 men in an office is 24 years old.
What is the mean age (nearest year) of all the people in the office?
The mean age (nearest year) of all the people in the office is 22.4.
How to find the mean age?Age for women
Age = 12 women × 22 years old / 12
Age = 264 /12
Age = 22
Age for men
Age = 3 men × 24 years old / 3
Age = 72/3
Age = 24
Now let find the mean age
Mean age = Sum of men and women age / Number of men and women
Mean age = 264 + 72 / 12 +3
Mean age = 336 /15
Mean age = 22.4
Therefore the mean age is 22.4.
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solve the quadratic equation by completing the square. 3r^2 +4r+9=0
Answer: [tex]r=-\frac{2}{3} \pm \frac{i\sqrt{23}}{3}[/tex]
Step-by-step explanation:
[tex]3r^2 +4r+9=0\\\\3\left(r^2 +\frac{4}{3} r \right)+9=0\\\\3\left(\left(r+\frac{2}{3} \right)^2 -\frac{4}{9} \right)+9=0\\\\3\left(r+\frac{2}{3} \right)^2 -\frac{4}{3}+9=0\\\\3\left(r+\frac{2}{3} \right)^2 =-\frac{23}{3}\\\\\left(r+\frac{2}{3} \right)^2 =-\frac{23}{9}\\\\r+\frac{2}{3}=\pm \frac{i\sqrt{23}}{3}\\\\r=-\frac{2}{3} \pm \frac{i\sqrt{23}}{3}[/tex]
10. A building has a height of 130 meters and a
length of 75 meters. On a scale drawing of
the building, the length of the building is 15
cm. What is the height of scale building in
centimeters?
Answer:
los pasos de juan miden 50cm de su cas a su colegio llega con 180pasos. ¿cuantos kilómetros distan la casa y el colegio de juan?
The distance from the house to the school is 0.09km
How to calculate the distance?It should be noted that from the information, Just measures 50 cm from his house to school and arrives at 180 steps.
Therefore, the total distance will be:
= 50 × 180
= 9000 cm
1 kilometer = 100000 cm
Therefore, 9000 cm will be:
= 9000 / 100000
= 0.09km
The distance is 0.09km.
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PLS HELP I GIVE BRAINLIEST
Answer:
(-12, 10)
Step-by-step explanation:
2x + 4y = 16
-2x - 3y = -6
Add the equations to eliminate x.
y = 10
2x + 4y = 16
2x + 4(10) = 16
2x = -24
x = -12
Solution:
x = -12; y = 10
(-12, 10)
Out of 150 coins, 90 are quarters. Of the remaining coins, 40% are
nickels and the rest are dimes and pennies. There are 5 dimes for
every penny. How many pennies are there?
A) 3
B) 4
C)6
D) 12
According to the concept of unitary method, the number of pennies are 6.
Unitary method:
The process of finding the value of a single unit, and based on this value is called as unitary method.
Given,
Out of 150 coins, 90 are quarters. Of the remaining coins, 40% are nickels and the rest are dimes and pennies. There are 5 dimes for every penny.
Here we need to find the number of pennies in the coins.
Here we know that the total number of coins are 150, thus includes
=> Quarters + nickels + dimes + pennies = 150
Here the number of Quarters are 90
Therefore, the remaining coins are calculated as,
=> 150 − 90 = 60
Here the percent of nickels is 40, then the number of nickels is
=> 60x 40/100
=> 24 numbers
Now, the remaining coins such as dimes and pennies are
=> 60 − 24 = 36 numbers.
Here we know that, in (5 + 1) = 6 coin of dimes and pennies there is 1 penny
So, in 36 coin of dimes and pennies there are,
=>36 / 6
=> 6
Therefore, there are 6 pennies.
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Select the correct text in the passage.
Which sentence best describes how money functions as a "store of value"?
You can exchange money for goods and services. It adds to your purchasing power. It assigns value to goods and services. Its value appears in the books of
accounts.
Answer: It adds to your purchasing power.
Answer: It adds to your purchasing power
Step-by-step explanation:
Edmentum it's right.
What is the difference between active and passive transport?
What’s the correct answer answer asap for brainlist
Answer:
Difference Between Active and Passive Transport
Active Transport Passive Transport
Active transport is an energetic process. It is a physical process.
It is extremely selective. It is partially non-selective
It is a quick process. It is a moderately slow process.
It Occurs in one direction. It occurs bidirection
Chase is filing as a single individual for the year 2018 and has a total taxable income of $91,630. If he is in the 24% tax bracket, where the federal income tax owed is $14,089.50 plus 24% of every dollar above $82,500, how much does Chase owe in federal income taxes for 2018? Round your answer to the nearest cent. Do NOT round until you calculate the final answer.
In the year 2018, the amount that Chase owes in federal income taxes is $16, 280.70
How to find the federal income taxes?In 2018, Chase earned $91, 630 which put him in the 24% tax bracket. Here, his tax is $14,089.50 plus 24% of every dollar above $82,500.
The amount that Chase made above $82, 500 is:
= 91, 630 - 82, 500
= $9, 130
The federal income tax that Chase owes is therefore:
= 14, 089.50 + (9, 130 x 24%)
= 14, 089.50 + $2, 191. 20
= $16, 280.70
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Answer: $16,280.70
Step-by-step explanation:
First, find the difference between $91,630 and $82,500 to find the amount that is taxed at the 24% tax rate.
$91,630−$82,500=$9,130
Now, multiply $9,130 by 24% to find the additional amount of tax.
$9,130⋅24%=$2,191.20
Add $2,191.20 to $14,089.50 to find the total amount of federal income taxes Chase owes.
$2,191.20+$14,089.50=$16,280.70
Therefore, Chase owes $16,280.70 in federal income taxes for 2018.
a grocer wants to mix kenyan beans that sell for $8.25 per pound with venezuelan beans that sell for $9.50 per pound to form a 50 pound batch of beans that sells for $9.00 per pound. how many pounds of kenyan beans should go
into the blend?
Grocer will mix 20 pounds of the kenyan beans $8.25per/lb one and another 30 pounds of the venezuelan beans $9.50per/lb one.
Let's x be the kenyan beans that sell for $8.25 per pound and y be venezuelan beans that sell for $9.50 per pound.
Altogether there are 50 pounds of beans.
The algebraic equation would be x + y = 18.
At $9.00 per pound, he will make 50 * $9.00 = $ 450.0
So, how many of the x and y kinds of coffee should he use to make the $9.00 per pound mixture which will net him $450.0.
The algebraic equation would be 8.25x + 9.50y = 450
We now have two equations
x + y = 50 --(i)
8.25x + 9.50y = 450 --(ii)
Substituting x= 50 - y in the second equation gives us
8.25(50-y) + 9.50y = 450
412.5 - 8.25y + 9.50y = 450
1.25y = 450 - 412.5
1.25y = 37.5
y = 30
Substitute the value of y in equation(i)
x + y = 50
x = 50 - 30
x = 20
Hence, Grocer will mix 20 pounds of the kenyan beans $8.25per/lb one and another 30 pounds of the venezuelan beans $9.50per/lb one.
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If a basketball player made an annual salary of $6.3m
How much would the player earn in 1 day?
$17,260.27
Divide 6.3 million dollars by 365 to show how much the basketball players earns in a day
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of -2
The Z-score of a value is the count of the number of standard deviations between the value and the mean of the set. Hence, the height of a man with a z-score is [tex]25.35inches[/tex]
What is z-sore ?
The z-score of a value is the count of the number of standard deviations between the value and the mean of the set. You can find it by subtracting the value from the mean and dividing the result by the standard deviation.
Here given that,
mean=[tex]69.0 inches[/tex]
standard deviation=[tex]2.8 inches[/tex]
[tex]x=-2[/tex]
The general formula of the z-score is
[tex]z=\frac{x-mean}{standard deviation}[/tex] .......[tex](1)[/tex]
Now, putting the values in the equation [tex](1)[/tex], we get
[tex]z=\frac{-2-69.0}{2.8}\\z=\frac{71}{2.8}\\z=25.35inches[/tex]
Hence, the height of a man with a z-score is [tex]25.35inches[/tex]
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giving brainiest to whoever can help me with all the questions! Explanations are highly appreciated.
A
C
A
D
B
You're welcome :)
a driver charges $3 per mile for the first 2 miles, then $2 for each additional mile. if you traveled 8 miles, what would the total fee be? and if you traveled 50 miles, what would the total fee be?
PLEASE HURRY AND ANSWER!!!!! THIS PAPER IS DUE TOMORROW MORNING! AND ITS FOR A GRADE!!!!
Hey there! I would be glad to help you out.
For the first two miles, the price would be six dollars total.
For every mile after that, you would be charged two dollars.
Assuming that you travel 8 miles, you would have to pay six dollars for the first two miles (3*2), and twelve dollars for the last six miles, totaling eighteen dollars.
So the price of an eight mile ride would be eighteen dollars.
You can use this logic for the 50 miles trip too. After traveling 2 miles ($6), there will be 48 more miles.
For these 48 miles, it'll only charge you two dollars each, which would total 96 dollars.
So the price of a fifty mile ride would total $102.
I wish you luck on your homework!
Jaden and Emilia biked
88 miles from Daytona Beach to Jacksonville in
2 days. They spent 4 hours biking the first day and
6 hours biking the second day. They biked at one speed the
first day and a different speed the next day. At what speed
(miles per hour) could they have biked each day? Explain.
They could have biked on first day at the speed of x/4 miles per hour and on the second day at the speed of (88-x)/6 miles per hour where x is the distance covered on first day.
According to the question,
We have the following information:
Jaden and Emilia biked 88 miles from Daytona Beach to Jacksonville in 2 days. They spent 4 hours biking the first day and 6 hours biking the second day. They biked at one speed the first day and a different speed the next day.
Now, let's take the distance covered on first day to be x miles.
Distance covered on second day = 88-x miles
Following formula is used to find the speed of an object:
Speed = distance/time
Speed of first day = x/4 miles per hour
Speed of the second day = (88-x)/6 miles per hour
Hence, they could have biked on first day at the speed of x/4 miles per hour and on the second day at the speed of (88-x)/6 miles per hour where x is the distance covered on first day.
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est/386832371
wedderburn, christine
All your answers will automatically save as you proceed through the test.
a
According to Zillow, housing values are appreciating at a rate of 11.3% percent a year. Approximately how much will your $810,000
house be worth in 5 years if this rate of appreciation continues?
Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer.
$990,320.85
$1,383,441.63
38/40 answered
C $1,955,080.48
Answers are saved automatically
The worth in 5 years is $1,383,441.63. option B is the correct answer
From the question, we have
worth in 5 years = current value * ( 1 + rate) ^ 5
= 810,000*( 1 + 11.3/100) ^ 5
= 810,000*( 1.113) ^ 5
=$1,383,441.63
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Geometry need help gina wilson
The value of x in the polygon is 9
What is a Heptagon?A heptagon is a polygon that has seven sides. It is a closed figure having 7 vertices. A heptagon is also sometimes called Septagon.
In Geometry, the shape that is bounded by at least three straight lines or at least three interior angles is called polygon. The most common examples of polygons are
Triangle ( 3 sided polygon)
Quadrilateral ( 4 sided polygon)
Pentagon ( 5 sided polygon)
The polygon is a heptagon with number of sides n = 7
sum of interior angles of a polygon = (n - 2) x 180
if n = 7,
Sum of the interior angles = (7 -2) x 180
= 5 x 180
= 900
summing all the angles in the given polygon, we have
135 + 3x + 31 + 4x + 15 + 6x - 8 = 120 + 7x - 64 + 5x - 4 = 25x + 675
25x + 675 = 900
25x = 900 - 675
25x = 225
x = 225/25
x = 9
In conclusion, the value of x for the given polygon is 9
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Write an exponential function to describe the given sequence of numbers.
9, 27, 81, 243, 729, ...
Answer: 2187
Step-by-step explanation: Raise 3 to the power of 7 = 2187
- 0.2 times - 5/6 please help :(
Step-by-step explanation:
0.16666666666
Learn at brainlyFind the slope, of m of the line that passed through the points (-2/3, 3/4) and (5/6, -1/2). Enter your answer as a fraction in simplest form in the box
m = (-1/2 - 3/4) / (5/6 - (-2/3))
= (-2/4 - 3/4) / (5/6 + 4/6)
= (-5/4) / (9/6)
times 24 on top and bottom,
= -30/36
= -5/6
In August Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8. how many short sleeve shirts were sold
The number of short sleeves that Maria sold is 819.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.
In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.
The number of short sleeves will be:
= Ratio for short sleeve / Total ratio × Total number of clothes
= 9 / (8 + 9) × 1547
= 9/17 × 1547
= 819
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