Answer:
The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]
Step-by-step explanation:
An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:
If f(a)=b then f⁻¹(b)=a
That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.
To construct or calculate the inverse function of any function, you must follow the steps below:
Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values (that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.
You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150
Solving for x:
2.5*x +150=y
2.5*x= y-150
[tex]x=\frac{y-150}{2.5}[/tex]
[tex]x=\frac{y}{2.5}-\frac{150}{2.5}[/tex]
[tex]x=0.4y-60=\frac{2}{5}y-60[/tex]
Exchanging the variable, you obtain that the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]
The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?
Answer:
The number of hours that the milk will stay fresh is 86.2 hours
Step-by-step explanation:
Given the following function;
[tex]H(T) = 180*10^{(-0.04T)}[/tex]
where;
T, is the temperature in degrees centigrade
H is the number of hours
At 8°C the number of hours that the milk will stay fresh is given by;
[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]
Therefore, the number of hours that the milk will stay fresh is 86.2 hours.
on Monday a restaurant made $545 from selling 110 hamburgers if they sold 53 Hamburgers on Tuesday how much did they make
Answer:
$262.59
Step-by-step explanation:
545 / 110 = 4.95454545455
4.95454545455 x 53 = 262.590909091
Rounded = $262.59
change 84cm into mm
Answer:
840mm
Step-by-step explanation:
There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm
Have a great day...I hope this helped you :3
Write the following in point-slope form, slope-intercept form, and standard form. (-2,9) m= -1
Answer:
x + y = 6
Step-by-step explanation:
9 = -2(-1) + b
9 = 3 + b
b = 6
y = -1x + 6
x+y =6
10c - 6(2c - 1) = -2 (c- 3). Solve for c
In a school election, 34 of the students vote. There are 1464 ballots. Write and solve an equation to find the numbers of students.
An equation is __?__ =1464.
There are a __?__ total of students.
Answer:
1464*.34=amount of students
Step-by-step explanation:
Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?
Answer:
Step-by-step explanation:
7, 1
how do you solve for x?
Answer: x = 6
Step-by-step explanation:
m<CAD = m<BAC
m<CAD = 4x
m<CAD + m<BAC = m<BAD
4x + 4x = 10x - 12
8x = 10x - 12
-10x -10x
-2x = -12
x = -12/-2
x = 6
Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)
Answer: D is the correct answer .
D. h(x)= (x-2)^2(x+4)(x-1)
Step-by-step explanation: For Plato users the correct answer is D .
The function which has three distinct zeroes is h(x) = (x − 2)²(x + 4)(x − 1), the correct option is D.
What is a Function?A function is a law that relates a dependent and an independent variable.
The zeroes of the function are the point at which the function value becomes 0.
The function which have three distinct real zeroes is
h(x) = (x − 2)²(x + 4)(x − 1)
(x-2)² = 0
x = 2
(x+4) = 0
x = -4
x-1 = 0
x = 1
To know more about Function
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1) Gracie has a piece of wood that is 5 feet long to use for two projects. She uses 2 feet of the wood on her first project. Which statement describes how a number line can be used to find the length of wood Gracie has remaining for her second project? * Start at 5 and then move left 2 Start at 5 and then move right 2 Start at 2 and then move left 5 Start at 2 and then move right 5
Answer:
Start at 5 and then move left 2
Step-by-step explanation:
Given:
Length of a piece of wood with Gracie = 5 feets
Length of a piece of wood used on the first project = 2 feets
To find: statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project
Solution:
The statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project is
Start at 5 and then move left 2
In this way [tex]5-2=3[/tex]
That is Gracie has now 3 feets of wood available that can be used for her second project.
Using the concept of a number line, the number of wood grace has left would be Start at 5 and then move left 2
Using the concept of a number line :
Positive values are to the right of 0 ; hence, the initial amount of wood grace has is +5 Using two feets from the initial length, then we would Subtract 2 from the the initial value ;To perform subtraction on a number line, we count to the left ;Therefore, the correct statement is Start at 5 and then move left 2
Learn more : https://brainly.com/question/18109354
Which of the following forms a proportion?
5/9 = 14/18 3/5 = 21/35 6/12 = 18/34 1/8 = 2/24
Answer:
3/5 = 21/35
Step-by-step explanation:
if you reduce 21/35 it is 3/5 so it is the same thing
Find integers whose product is -28 and sum is 12.
Answer:
Two integers whose product is -28 and sum is 12 are 14 and -2.
On Tuesday, a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
870?
Step-by-step explanation:
Answer:
217.5
Step-by-step explanation:
435 divided by 2 don't really know how else to explain
Please help asap!! I'll give you brainliest!!
What is the slope of the function, represented by the table of values below?
Answer:
-4
Step-by-step explanation:
To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.
Let U = {q, r, s, t, u, V, W, X, y, z}
A = {q,S, U, W, y}
B = {q, s, y, z)
C = {v, w, x, y, z)
List the elements in the set.
A'UB
Answer:
b
Step-by-step explanation:
because I am good at this
Y is 5 less than the product of 4 and x
Answer: y=4x-5
Y=4x-5
Find the total distance from Mercury to Earth. HELP!
Answer:
5.67*10^7
Step-by-step explanation:
Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:
30,700,000
+26,000,000
__________
56,700,000
Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Write the binomial probability distribution for X . Round to two decimal places
Answer:
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2
Step-by-step explanation:
Given that:
Total Number of cameras (n) = 8
Defective cameras = 4
X: number of defective cameras
For a binomial distribution :
P(x) = nCx * p^x * (1 - p)^(n - x)
Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5
If 2 samples are chosen at random :
Then, the binomial probability distribution will be :
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2
Tanner is cutting a 23-inch board into 2.25-inch sections. How many whole sections will he end up with?
11
12
10
13
You have $50 in your bank account. You withdraw $60 from your bank account. What is your new balance?
Answer:
you would not be able to withdraw $60
Step-by-step explanation:
$50 is less than $60
Answer:
$-10 (you wouldn't be able to withdraw 60, only 50 or less.)
Step-by-step explanation:
You have $50 and you withdraw $60 from your bank account, if you did that, you would've had -10 dollars in your bank account.
And you wouldn't be able to withdraw 60, only 50 or less.
(～￣▽￣)～Hope this helps!
If CDEF ≅ KLMN, what are the congruent corresponding parts? A. Sides: CD¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KL¯¯¯¯¯¯,CF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯;Angles: ∠C≅∠N,∠D≅∠M,∠E≅∠K,∠F≅∠L B. Sides: CD¯¯¯¯¯¯≅KL¯¯¯¯¯¯,DE¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯;Angles: ∠C≅∠K,∠D≅∠L,∠E≅∠M,∠F≅∠N C. Side: CD¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KL¯¯¯¯¯¯;Angles: ∠C≅∠L,∠D≅∠K,∠E≅∠N,∠F≅∠M D. Sides: CD¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KL¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯;Angles: ∠C≅∠M,∠D≅∠N,∠E≅∠L,∠F≅∠K
i need help with fractions :(
Answer:
x = 0, Need the steps?
STEPS:
9x - 7 = -7 (Original Problem)
9x = 0 (Add 7 to both sides)
x = 0 (Divide both sides by 9)
Answer:
Step-by-step explanation:
(3) 9x-7=7
First multiply 3 by 9x to get 27x
27x-7=7
Then add 7 to both sides
27x-7+7=7+7
27x=14
27x/27=14/27
x=14/27
- 1 1/4 divided by 36
10 points
The cost of renting is $25 per day plus a one-time insurance fee of $50.
Write and solve an inequality to find how many days can the car be
rented if the total cost is to be no more than $475.
Shelly runs 2.5 miles in 18 minutes. what is her mile time in minutes.
Answer:
7.2315656
Step-by-step explanation:
Let's agree that 2.5 miles : 18 minutes is the ratio between the amount of distance and the amount of time spent running. If we spent 2x as many minutes running, Shelly would run 5 miles. In the same context, let's find the amount of distance covered in 18 minutes.
18 × (60/18) = 60
We multiply 60/18 because 60/18 = 60 × (1/18), and the (1/18) cancels with the 18 so we are left with the numerator, 60.
2.5 : 18
Now, we have to multiply 60/18 on both sides!
2.5 × (60/18) : 18 × (60/18) = 60
2.5 × (60/18) = 8 and 1/3 miles
What 98 x 8 divided by 2 and what is this game called
Answer:
392 and Overwatch I think
Step-by-step explanation:
Answer:
392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.
Step-by-step explanation:
I'll give brainliest to correct answer
Fill in each blank with a reason that justifies the statement. Given: XY = 36
look at the screenshot
Answer:
[tex]b. \:distributive \: property \: of \: equality \\ c. \: collect \: like \: terms\\ d. \: addition \: property \: of \: equality \\ e. \: division \: property \: of \: equality [/tex]
plz help plzzzzzzzzzzz
Answer:hahhahahahahahahhaha that sucks were both stupid!!!
Step-by-step explanation:
solving equations with variables on both side! due today
Answer:
x=5
Step-by-step explanation:
2-3x = -x-8
Add 3x to each side
2-3x+3x= -x+3x-8
2 = 2x-8
Add 8 to each side
2+8 = 2x-8+8
10 =2x
Divide by 2
10/2 =2x/2
5 =x
You should not schedule _____ tasks for the same day.
yearly
daily
weekly
monthly
Answer:
B. Daily
Step-by-step explanation:
It makes more sense to put "daily" because of "the same day."
Daily means doing something everyday.
You should not schedule daily tasks for the same day.
Answer:
I just took the test.
It is weekly.