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]
if tanΘ =√3 determine all the possible values of Θ such that -2π≤0≤2π
Answer:
Sure! Can you tell me the digits of pi?
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,8) and (3, 4)
Answer:
6.40
Step-by-step explanation:
I need help with this
Answer:
ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure
for a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each goodie bag will receive an equal share of 54 tickets and 36 posters.
(A) what is the greatest number of goodie bags that can be created? explain your reasoning.
(B) How many of each type of giveaway will be in each bag? Explain your reasoning.
What is the term for the conversion of a bitmap image to a vector image?
A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 21 in 7 seconds. Does this situation represent a proportional relationship?
Answer:
No.
Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.
A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 application fee. Twelve new students enrolled, and the school collected $750. Which equation can be used to find p, the regular price of enrollment?
Answer:
12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.
Step-by-step explanation:
So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2
where p = regular price of enrollment
So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.
So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)
The amount they all paid is $750.
To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750
The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750
Explanation:
In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.
In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.
What do I need to put down for these?
2 (x - 5) = 7 + 2x
What is the answer ?? I need help !?
Answer:
0=17
Step-by-step explanation:
2X - 10=7 +2x
-10 = 7
7 is fasle
i believe the answer is 17
what is the answer for -6-(-13)
Answer:
7
Step-by-step explanation:
Multiply - and -13 first which is 13 subtract 6 from 13 and you will get 7 which is the answer
Hope this helps!
Q.4 Find the area and perimeter of a square of side 85/4
• Side of the square = 85/4 m.
To find :• Area of the square
• perimeter of the square .
Solution :As we know that :
• Area of square = (side)²
=> Area of square = (85/4)²
=> Area of square = 7225/16
=> Area of square = 451.5 m².
Now ,
• Perimeter of square = 4 (side)
=> Perimeter of square = 4(85/4)
=> perimeter of square = 85 m.
HENCE, THE AREA IS 451.5M² AND PERIMETER IS 85M.
I hope it will help you.
Regards.
A car travels at 20 m/s for 15 seconds before it comes to rest by decelerating at 2.5 m/s2
Find the total distance travelled.
Answer:
80 m
Step-by-step explanation:
From the question;
Initial velocity, u, = 20m/s
Time = 15 s
deceleration= -2.5 m/s² ------negative acceleration
The formula to apply is;
v²=u²+2as
where v is the final velocity = 0m/s and s is the total distance travelled.
Applying the formula as;
v²=u²+2as
0²=20²+ 2*-2.5*s
0=400+ -5s
0=400-5s
5s= 400
s= 400/5 = 80
s= 80 m
The total distance travelled is 80 m.
On a set of parallel lines cut by a transversal m<2=(7x-5) and m<6=(x+25) which value of x could show that <2 and <6 are corresponding angles
Answer:
X = 5
Step-by-step explanation:
When the lines are parallel, the corresponding angles are equal in measure then:
m<2 = m<6
7x - 5 = x + 25
7x - x = 25 + 5
6x = 30
x = 5
Which Is The Correct Classification And Decimal Expansion of 3/8
Answer:
3/8 = 0.375
Step-by-step explanation:
I used a calculator
A polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water. The polar bear dove 6.5 meters from the top of the float into the water to catch a seal. Relative to the surface of the water, which equation best represents how far below the surface the polar bear dove?
Answer:
Step-by-step explanation:
Let the surface of the water be at 0m
If a polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water, the distance between the ice float and the surface of the water will be:
= 2.5 - 0
= 2.5m
If the polar bear dove 6.5 meters from the top of the float into the water to catch a seal, to get the distance between the bear under the water to the sea level, we will use the expression:
2.5 + x = 6.5
Subtract 2.5 from both sides
2.5+x -2.5 = 6.5-2.5
x = 4.0m
Hence the equation that best represents how far below the surface the polar bear dove is 2.5 + x = 6.5 where x is the distance between the polar bear below and the surface of the water
A line passes through the point (-6,6) and has a slope of 3/2.
Answer:
y=3/2x+15
Step-by-step explanation:
Answer:
y=3/2+15
Step-by-step explanation:
Which measurement of a polygon in the shape of a square with 6-inch sides is a perfect square?
A. Area
B. Angles
C. Diagonal
D. Perimeter
Answer:
A: Area
Step-by-step explanation:
The area is 6^2=36 and 36 is a perfect square.
30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!
Answer:
Its should be A.....
Step-by-step explanation:
(Ignore I have to write 20 characters lol)
DUE 10 MIN PLEASE HELP
show work
Answer:
10
Step-by-step explanation:
please find the answer, i need this asap!
Answer:
the correct answer is 2
Step-by-step explanation:
Answer: x=2
Step-by-step explanation:
Pls pls pls answer I’ll give you the brainlist!
Sorry If I spelled it wrong
Answer:
22
Step-by-step explanation:
You can just put it in your calculator
Answer:
22
Step-by-step explanation:
Quinn had $4.00. He spent 1/2 of his money on chips, 1/4 of his money on a drink, and 1/8 of his money on gum. How much money does Quinn have left?
If the answers good you get bonus points so you can ask more questions!
Answer:
.50$
Step-by-step explanation:
When you add 1/2, 1/4, and 1/8 you get 7/8. We now know that Quinn spent 7/8 of 4.00$. We multiply 7/8 and 400 and we get 350. That means he spent 3.50$. 4.00-3.50= .50$
Answer:
3.50
Step-by-step explanation:
2.00+1.00+.50=3.50
0.05 is 1/10 value of what number
Answer:
1/2=x
0.5
Step-by-step explanation:
x will be the number
5/100=(1/10)x
5/10=x
1/2=x
1/2=0.5
Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{32}1 32. Who will get the greater quotient, Susan or Robyn? Write "Susan" or "Robyn." What is Susan's quotient? Write your answer as a whole number. What is Robin's quotient? Write your answer as a whole number.
Given:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
To find:
The quotient of Susan and Robyn.
Solution:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10[/tex]
So, Susan's quotient is 10.
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20[/tex]
So, Robyn's quotient is 20.
Since 20>10, therefore, Robyn will get greater quotient.
Simplify: 3x-4(2x-6) + 9
A survey asks students to name their favorite outdoor activity. 12 students say bike riding, 8 students say climbing trees, and 5 students say swimming. Mia says that 40% olf the students say their favorite activity is climbing trees. Is she correct? Explain
Answer:
Mia is incorrect. 32% of the students say climbing trees is their favorite.
Step-by-step explanation:
Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100
Number of students that chose climbing trees = 8
Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25
Therefore,
% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].
Mia is wrong.
32% say climbing trees is their favorite. NOT 40%.
Just the picture, Geometry. Thanks.
Angle 1 is congruent to ∠5 as they are corresponding angles on a transversal .
Option (d) Angle 4Angle 4 is congruent to ∠5 as they are alternate interior angles .
The graph shows the height in feet of an object above the ground T seconds after it was launched from the ground.
Answer:
the answer is D
Step-by-step explanation:
The equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a graph that shows the height in feet of an object above the ground {T} seconds after it was launched from the ground.
The given graph is a parabola. A quadratic equation represents a parabola.
The quadratic equation will have two roots at the point on which it cuts the {x} axis.
Consider the equation in option {C} as -
y = -16x² + 64x
For the point (4, 0), we can check the graph as -
0 = - 16 x 4 x 4 + 64 x 4
0 = 0
For the point (0, 0), we can check -
0 = 0 + 64 x 0
0 = 0
Therefore, the equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ3
PLS HELP ILL MARK BRAINEST DUE IN 20 minsss
Answer:
ill help
Step-by-step explanation:
Please please please please please help
Answer:
2.68
Step-by-step explanation: