Find the inverse of the function: f ( x ) = 1 5 x + 4 Group of answer choices f − 1 ( x ) = 4 x − 5 f − 1 ( x ) = − 5 x − 4 f − 1 ( x ) = x − 4
Answers
Answer:
D
Step-by-step explanation:
So we have the function:
[tex]f(x)=\frac{1}{5}x+4[/tex]
To find the inverse, simply switch x and f(x), change f(x) to f⁻¹(x), and solve for it. Thus:
[tex]x=\frac{1}{5}f^{-1}(x)+4[/tex]
Subtract 4 from both sides:
[tex]x-4=\frac{1}{5}f^{-1}(x)[/tex]
Multiply both sides by 5:
[tex]f^{-1}(x)=5x-20[/tex]
So that's our inverse :)
So, our answer is D
Answer:
D
Step-by-step explanation:
Related Questions
HELP PLEASE!!!
The following graph shows farm sector production in billions of dollars from 1994–2003. One line shows the yearly production and the other shows the average over the time span. According to the graph, in which 3 years were the values of farm sector production closest to the average for the 10 years shown?
A): 1994, 1996, 1998
B): 1996, 1998, 2000
C): 1998, 2000, 2002
D): 2000, 2002, 2004
Answers
Answer:
C): 1998, 2000, 2002
Explanation:
You can find the answer by looking at which part of the line graph intersects the line where it says 1994-2003 average. As you can see, the years 1998, 2000, and 2002 are meeting up with the average of 1994-2003.
Answer: C) 1998, 2000, 2002 !!
Step-by-step explanation:
What is the value of the expression when y = 2? StartFraction 2 minus y Over 4 plus y EndFraction plus StartFraction 3 (y plus 2) Over y EndFraction
Answers
Answer:
12
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
Helpppppppppppppppppppppp
Answers
Hey there! I think the answer is -6r + 5
Answer:
[tex]-6r + 5[/tex]
Step-by-step explanation:
Combine like terms
[tex] -4r-2r+5 [/tex]
[tex](-4r + -2r) + 5 [/tex]
[tex] -6r + 5 [/tex]
You cannot combine them anymore.
Write the equation of the line graphed below.
Answers
Answer:
y=2x +3
Step-by-step explanation:
The slope hits the points (-1,2) and (0,2). If you count how many units are right and up, then that's your slope. In this case, the distance between those two points are 1 right and 2 up which is the same thing as 2. The y-intercept is 3 since the slope crosses the y-axis there.
Write a verbal reprsentation that could be translated to the equation 7k + 8 = 100.
Answers
Answer:
Eight more than seven times x (or x times seven) is one hundred
Answer: "The product of 7 and k plus 8 yields 100"
Step-by-step explanation: Simply translate the numbers and signs into words. "the product of 7 and k" means multiply 7 times k, which is the same as 7k. "plus 8" means addition. "yield" is the same as equal.
3. Determine if the equation represents y as a function of x.
9x + 3y = 12
Answers
{6} E { {6}, {14} } true or false
Answers
Answer: true and stop deleting my answers im right im in collage
and I dont need to explain again when i already did so STOP and trust me
A SNACK THAT SMILES BACK®
HELP PLEASE! ON A TIME LIMIT.
Javi and MeriAnne competed to see who could read the most pages of their novels in a week.
According to the bar graph, how many more pages did the winner of the contest read than the loser? Show your work or explain how you got your answer.
Answers
Answer:
5
Step-by-step explanation:
First add the sum of the Javi's total page count from Monday to Friday. You get 125 pages. Next find MeriAnne using the same process. You get 120 pages. Find the difference by subtracting one from the other. 125-120=5 page difference.
Javi wins from MeriAnne by 5 pages
What is data?Data is information that has been translated into a form that is efficient for movement or processing. Relative to today's computers and transmission media, data is information converted into binary digital form. It is acceptable for data to be used as a singular subject or a plural subject.
Total number of pages read by Javi
=10+20+60+20+15
=125
Total number of pages read by MeriAnne
=20+30+40+20+10
=120
So, Javi wins from MeriAnne by= 125-120= 5 pages
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RoBoCo Costume Inc plans to launch a major campaign to sell Robby the Robot costumes for Halloween. The price-demand equation for Robby costumes is
x = 160 - p
The demand x is the number of Robby costumes in thousands) that can be sold at a price p dollars.
a. How many costumes can be sold at a price of $140?
b. What price should be charged if the demand is 120,000 Robby costumes?
$
c. If the price increases by $1.00, by how much does the demand decrease?
Answers
Answer:
x = 20,000
p = $40
If the price increase by $1, the demand will decrease by 1000
Step-by-step explanation:
Given:
x = 160 - p
x = number of Robby costumes demanded in thousands
p = price in dollars.
a. How many costumes can be sold at a price of $140?
x = 160 - p
x = 160 - 140
= 20
x = 20,000
20 thousand costumes can be sold at a price of $140
b. What price should be charged if the demand is 120,000 Robby costumes?
x is in thousand
p is in dollars
x = 160 - p
x + p = 160
120 + p = 160
p = 160-120
= 40
p = $40
c. If the price increases by $1.00, by how much does the demand decrease?
x = 160 - p
= 160 - 141
= 19
x= 19,000
If the price increase by $1, the demand will decrease by 1000
1Ꮾx - 8 = 1Ꮞx +14
Solve for X
Answers
Answer:
x=11
Step-by-step explanation:
16x - 8 = 14x + 14
16x - 14x - 8 = 14x - 14x + 14
2x - 8 = 14
2x - 8 + 8 = 14 + 8
2x = 22
2x/2 = 22/2
x=11
If A={1,5,9}and B={y:y=2x-1;x=1,5,9},find A×B and B×A.
Answers
Step-by-step explanation:
you can see the steps above
:
a.
Which of the following statements best describes the difference between sales tax and property tax?
Sales tax is applied to items as they are purchased while property tax is applied to items
already owned
b. Sales tax is applied repeatedly while property tax is paid only once for as long as you own the
item.
Sales tax can be applied to a new speed boat while property tax cannot.
d. Sales tax is strictly meant for food and consumables while property tax is meant for non-food
items
C
Answers
Answer:
Sales tax is applied to item as they are purchased while property tax is applied to items already owned
Step-by-step explanation:
Sales tax is applied to items as they are purchased while property tax is applied to items already owned. Therefore, option A is the correct answer.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Property tax is a charge made on real estate that is owned by a person, a business, or another type of legal body. Property tax is most frequently a real estate ad-valorem tax, which is regarded as a regressive tax. It is computed by the local government in the area where the property is situated, and the owner is responsible for paying it.
Sales tax is applied to items as they are purchased while property tax is applied to items already owned. Therefore, option A is the correct answer.
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SOMEONE HELP FAST ( it's due today )
Calculate the minimum and maximum possible areas. Round your answers to the nearest whole square unit. A rectangular garden plot measures 12 feet by 28.6 feet. The minimum possible area is about ft. The maximum possible area is about ft?
Answers
Answer:
i. Minimum is 343 square feet
ii. Maximum is 360 square feet
Step-by-step explanation:
The dimension of the rectangular garden plot is 12 feet by 28.6 feet.
1. The minimum possible area can be determined by;
area of a rectangle = length x width
= 28.6 x 12
= 343.2
The minimum possible area is about 343 square feet.
2. The maximum value can be determined by;
28.6 ≅ 30.0 (1 sf)
area of a rectangle = length x width
= 30 x 12
= 360
The maximum possible area is about 360 square feet.
what is the answer 3/4×6/8=
Answers
write the values of n such that -15< 3n ≤ 6
Answers
Answer:n=2
Step-by-step explanation:
If you multiply 3 by 2 you get 6.
6 is more than -15 But equal to 6 so two works for N in the situation
Note: The sign between the 3N and six means Less than OR equal to
Use the quadratic formula to solve for x.
3x2-x-8=0.
Answers
-x - 2 = 0
-x = 2
x = -2
Express the given quantity in terms of the indicated variable.
The area (in ft) of a rectangle that is eight times as long as it is wide;
w = width of the rectangle (in ft)
ft2
X
Need Help?
Read it
Watch It
Master it
Answers
Answer:
X = 8W²Step-by-step explanation:
Area of a rectangle is expressed as Length * Width
X = L*W where X is the area of the rectangle in fe²
If the triangle is eight times as long as it is wide, then L = 8W
Substitute L = 8W into the formula for calculating the area of a triangle, we will have;
X = L*W
X = (8W)*W
X = 8W²
The expression X in terms of W is therefore X = 8W²
The graph shows Demarco's changing distance as he ran during his workout. What does point A tell you about Demarco's speed?
Answers
Answer:
Demarco ran 2 miles in 24 minutes
Answer:
Demarco ran 2 miles in 24 minutes.
thats how it is in ttm
graph h(t)=-2(t+5)^2+3, find h(-8)
Answers
Answer:
h(-8)=-15
Step-by-step explanation:
Substitute t=-8
h(-8) =-2(-8+5)^2+3
=-2(-3)^2+3
=-2(9)+3
=-18+3
=-15
h(-8) = - 15
Step-by-step explanation:h(t) = - 2(t + 5)² + 3
replace t with - 8
h(-8) = - 2(- 8 + 5)² + 3
h(-8) = - 2(-3)² + 3
h(-8) = -2×9 + 3
h(-8) = - 18 + 3
h(-8) = - 15
if AM = 14y - 2 and MB = 10y + 6, find AM.
Answers
Answer:
220
Step-by-step explanation:
Felix signs up for a cell phone that his parents require him to pay for. His bill is $46.80. What impact will his cell phone have on his savings account over the period of a year
Answers
Answer:$561.60
Step-by-step explanation: The cost of each month is 46.80 and there is 12 months in a year so 46.80×12=561.60
For his cell phone , Felix will pay a bill of $561.60 in a year .
Felix has a bill of $46.80 per month which is paid by his parents.
We have to find out that what will be the impact on his savings account over the period of a year.
What is the cost of 10 pens , if one pen costs $10 ?
The cost of 10 pens will be 10 × 10 = $ 100.
As per the question ;
Felix is paying a bill of $ 46.80 in a month.
∵ 1 year = 12 months
So,
Felix will pay a bill in a year or 12 months is of ;
= 12 × $ 46.80
= $ 561.60
Thus , for his cell phone , Felix will pay a bill of $561.60 in a year .
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A race car driver completes 30 laps and 15 minutes at a constant speed. What is the drivers speed?
Answers
Answer:
60 mph
Step-by-step explanation:
It takes two minutes to drive one mile at 30 mph. You are planning on covering two total miles. If your average speed is 60 mph, it would take two minutes to cover these two miles. So you have to go 60 mph.
Hope This Helps :)
The driver's speed is 30 miles per hour.
One mile is approximately 4 laps so 30 laps would be:
= 30 / 4
= 7.5 miles
The driver drove 7.5 miles in 15 minutes.
15 minutes in hours is:
= 15 / 60
= 0.25 hours
The speed of the driver is therefore:
= 7.5 miles / 0.25 hours
= 30 mph
The driver was therefore driving at a speed of 30 mph
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Is the equation true or false? 27 × 15 = (20 × 15) – (7 × 15) _____
Answers
Answer:
This equation is false.
Step-by-step explanation:
27x15=405
You're doing the distributive property here so you're supposed to add but they subtract. Since you're doing 20x15 you have to add because 27-20=7.
The equation 27 × 15 = (20 × 15) – (7 × 15) is false.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The distributive property is the distributed law of multiplication over operations in fundamental algebra, such as adding and subtracting.
The expression is given below.
⇒ 27 × 15
The expression can be written as,
⇒ 27 × 15
⇒ (20 + 7) × 15
⇒ 20 × 15 + 7 × 15
The equation 27 × 15 = (20 × 15) – (7 × 15) is false.
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Find the missing value of 2/5=?/15
Answers
Answer:
2/5=6/15
Step-by-step explanation:
2/5
Multiply with 3 both numerator and denominator
=>2x3/5x3
=>6/15
x = 6
Step-by-step explanation:2/5 = x/15
x = 2×15/5
x = 30/5
x = 6
Finda + b, 2a + 3b, |a|, and |a − b|.a = 5i + j, b = i − 2j
Answers
Answer:
Step-by-step explanation:
Given the complex notations a = 5i + j, b = i − 2j, we are to evaluate the following:
1) a + b
= 5i+j + (i-2j)
= 5i+j+i-2j
collect like terms
= 5i+i+j-2j
= 6i-j
Hence a+b = 6i-j
2) 2a+3b
= 2(5i+j) + 3(i-2j)
open the parenthesis
= 10i+2j+3i-6j
collect like terms
= 10i+3i+2j-6j
= 13i-4j
Hence 2a+3b = 13i-4j
3) |a| = √x²+y²
Given a = 5i+j; x = 5, y = 1
|a| = √5²+1²
|a| = √25+1
|a| = √26
4) |a-b|
First we need to calculate a-b
= a - b
= 5i+j - (i-2j)
open the parenthesis
= 5i+j-i+2j
collect like terms
= 5i-i+j+2j
= 4i-3j
|a-b| = √4²+(-3)²
|a-b| = √16+9
|a-b| = √25
|a-b| = 5
Keith sold half of his comic books and then bought nine
more. He now has 20. How many did he begin with?
Answers
Answer:
22 comic books.
Step-by-step explanation:
(20 - 9) * 2 First subtract 9 from 20
11 * 2 Multiply 11 by 2
22 is the product
There are 87 first graders in after care.after 39 students are picked up, the teacher put the remaining students into 4 groups for an activity. How many students are in a group?
Answers
Answer:
There are 12 students in each group
Step-by-step explanation:
87-39= 48
48/4= 12
Hope this helped. ;)
Answer:
12 students are in a group
Step-by-step explanation:
There are 87 first graders, but 39 students are picked up. So, we have to calculate how many students are left.
87 - 39 = 48
There are 48 students left.
The teacher divided these 48 students intro 4 groups.
48 / 4 = 12
So, there are 12 students in a group.
Hope this helps ^^
The product of a nonzero rational and an irrational number is always
Answers
Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
Step-by-step explanation:
Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
Select the relationship that does represent a function.
Answers
Answer:
Picture number 3 is the answer
Step-by-step explanation:
A function is a relation in which each element in the domain is paired with exactly one element in the range not 2.
Picture number one has a range left with no domain so it's not a function
Picture number 2 is showing an element in the domain which paired 2 elements in the range so it's not a function
Picture 3 is correct because each element in the domain macthes one element in the range.
Picture 4 is wrong because it's showing elements in the domain that matches 2 elements in the range. Hope it makes sense.
The required relationship that represents a function is given by 3rd image. Option C is correct.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The first image has a range with no domain, hence it is not a function. In 2nd image depicts an element in the domain that paired two elements in the range, indicating that it is not a function. In 3rd image, it is valid because each element in the domain corresponds to one element in the range. In picture 4, it is incorrect since it depicts domain components that match two range elements.
Thus, the required relationship that represents a function is given by 3rd image. Option C is correct.
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Give two points with integer coordinates that have a slope of 2/5 between them.
Answers
Answer:
yes
Given a 2D line e.g. (3,10) -> (8.3,16.5), how can I find any point on that line that has has whole-number coordinates?
I can easily iteratively walk along one of the axis in integer steps, seeing if the value on the other axis is integer, but this is slow for very very long lines.