The inverse of the function f(x) is
[tex]f^{-1}[/tex] (x) = 2x - 3
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 1/2 (x + 3)
Put f(x) = y
y = 1/2 (x + 3)
Replace y and x.
x = 1/2 (y + 3)
Find y.
2x = y + 3
y = 2x - 3
This means,
[tex]f^{-1}[/tex] (x) = 2x - 3
Thus,
The inverse of f(x) is 2x - 3.
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Can anyone do it I did it, but I'm just checking:)
Answer: Um, maybe I agree with Mia actually?
Step-by-step explanation:
In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and
OP = (2x – 1) m.
Parallelogram L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P.
What are the values of x and y?
x = 10 m, y = 1 m
x = 10 m, y = 2 m
x = 11 m, y = 1 m
x = 11 m, y = 2 m
Answer:
x = 11 m, y = 2 m ⇒ D
Step-by-step explanation:
In the parallelogram, diagonals bisect each other
∵ LMNO is a parallelogram
∵ OM and LN are its diagonals
∵ OM ∩ LN at point P
→ By using the fact above
∴ P is the mid-point of OM and LN
∴ OP = MP and LP = NP
∵ OP = MP
∵ OP = 2x - 1
∵ MP = 21
∴ 2x - 1 = 21
→ Add 1 to both sides
∴ 2x = 22
→ Divide both sides by 2
∴ x = 11 m
∵ LP = NP
∵ LP = y + 3
∵ NP = 3y - 1
∴ y + 3 = 3y -1
→ Add 1 to both sides
∴ y + 4 = 3y
→ Subtract y from both sides
∴ 4 = 2y
→ Divide both sides by 2
∴ 2 = y
∴ y = 2 m
Answer:
The answer is D
Step-by-step explanation:
I got it right on Edge
what is -12x-5(-8)=40
Answer: 0
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
Suppose Ruth Ann has 4 routes she can choose from to get from school to the library and 6 routes from the library to her home. How many routes are there from Ruth Ann's school to her home with a stop at the library?
Answer:
ok i will help
Step-by-step explanation:
so she has 4 choices the first time. And each of those four branches off to 5 possibilities. so the answer is 4*5=20
Answer:
10 routes to her home with a stop at the library
solve for x 4(x-167)=48
Answer:
x=179
Step-by-step explanation:
Answer:
x = 179Step-by-step explanation:
4(x - 167) = 48
4x - 4(167) = 48
4x = 4(167) + 48
x = 668 + 48
4
x = 179
What is 20% of $5?
do math
Answer: 1
Step-by-step explanation:
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okay???i guess sooooo??
find mFE arc measure
Question 5
FD = 63 • 2 or 126°. The reason for this is the fact that 63° is an inscribed angle.
DE is a straight line. A straight line measures 180°.
The measure of a circle is 360°.
FE = 360° - 180° - 126°
FE = 54°.
Remember: FE is a minor arc.
Understand?
Done!
π=what
plz all the numbers of pie
the winner gets 100 coins and brainless
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
Plz help me with math again am so bad at it
Answer:
B and E
Step-by-step explanation:
9 power 3 is volume
9 x 9 x 9 is volume
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Write a mathematical sentence that expresses the information given below. Use g as your variable name. If necessary:type = to mean .The number of gallons of gas that were in the tank minus 9 leaves 3 gallons.
Answer:
x=12
Step-by-step explanation:
x-9=3
basically 3 + 9=12 so 12-9=3
The mathematical sentence expresses the information.
g - 9 = 3
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The number of gallons of gas that were in the tank minus 9 leaves 3 gallons.
The mathematical sentence expresses the information.
g - 9 = 3
Thus,
The expression is g - 9 = 3.
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Kim has 3 shirts and 2 skirts.
How many different shirt-skirt outfits can she make?
A. 2
B. 3
C. 5
D. 6
E. 8
Answer:
The answer is D. 6
Step-by-step explanation:
A police car is approaching a right-angled intersection from the north at 35 mph, and a speeding car is heading east at 30 mph. When the police car is 0.75 miles north of the intersection and the speeding car is 1 mile to the east, what is the rate that the distance between the police car and car is changing?
Answer:
The rate that the distance between the police car and car is changing = 3 m/s
Step-by-step explanation:
The given speed of the police car = 35 mph
The speed of the speeding car = 30 mph
The position of the police car = 0.75 miles north
The position of the speeding car = 1 miles east
The distance of the police car from the speeding car, d = √(0.75² + 1²) = 1.25
d² = x² + y²
2d·dd/dt = 2x·dx/dt + 2·y·dy/dt
Where;
dx/dt = 30 mph
dy/dt = -35 mph
x = 1
y = 0.75
Substituting gives;
2×1.25 ×dd/dt = 2×1×30 - 2×0.75×35
2×1.25 ×dd/dt = 7.5
dd/dt = 7.5/2.5 = 3
dd/dt = 3 m/s
The rate that the distance between the police car and car is changing = dd/dt = 3 m/s
Answer:
The answer is increasing by 3 mph
Step-by-step explanation:
What is 47360 dividet by 2435
Answer:about 19.4496
Step-by-step explanation:
I used a calculator
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
Answer:
A and D
Step-by-step explanation:
I took the assignment
Answer:
a, d
Step-by-step explanation:
Which equation represents a line parallel to the y-axis?
A. y = x
B. x = 4
C. y = 4
D. y = x +4
The equation of the line that is parallel to the y-axis is option B. x = 4
What are parallel lines:Parallel lines are two or more lines that are always the same distance apart and never intersect, even if they are extended infinitely in both directions.
In other words, they have the same slope but different y-intercepts, which means that their steepness or inclination is the same.
Note:
The equation of the line that is parallel to the x-axis is y = a. The equation of the line that is parallel to the y-axis is x =aBy the above observations
The equation of the line that is parallel to the y-axis is x = a
From the given options,
The equation of the line that is in the form of x = a is x = 4
Therefore,
The equation of the line that is parallel to the y-axis is option B. x = 4
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Selma cannot remember her locker number! She knows that her locker number is prime, and that it is a factor of 435. What are all of Selma's possible locker numbers?
Answer:
Possible locker numbers for Selma are: 3, 5 and 29
Step-by-step explanation:
First of all, let us have a look at the definition of a prime number.
A prime number is a number which is divisible either by 1 or the number itself.
No other number divides the prime number other than 1 and the number itself.
Now, let us factorize the given number 435 and let us observe the what all possibilities are there.
[tex]435 = 3\times 145[/tex]
Factorizing 145 further:
[tex]435 = 3\times 5\times 29[/tex]
No further factors are possible.
Therefore 3, 5 and 29 are the prime factors of 435.
So, the answer is:
Possible locker numbers for Selma are: 3, 5 and 29
You are redecorating your room and you only have one wall left to paint. The length of the wall is 13.25 feet and the width of the wall is 9 ft. If the hardware store needs to know the area of the wall to determine how much paint you still need, what is the area that you will report to them?
Step-by-step explanation:
thx for da points v buzzed from dhrbd good
I don’t get this, can you guys help out?
Answer:
9 ÷ 3/2 = 6
21 ÷ 7/3 = 9
12/7 ÷ 2/7 = 6
4 2/3 ÷ 7/9 = 6
72/7 ÷ 8/7 = 9
4 1/2 ÷ 1/2 = 9
Answer:
6 9
1st 2nd
3rd 5th
4th 6th
Which graph shows a function and its inverse?
A graph depicts the inverse function with the help of a vertical line test. The lines passes through the origin and have a slope. The line y = x is a reflection of the original path.
Example: f(x) = 2x + 5 = y. Then, g(y) = (y-5)/2 = x is the inverse of f(x). Reflecting over the y and x gives us the function of the inverse.Hence the option A is correct.
Learn more about the graph showing a function and its inverse.
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A compound event may consist of dependent or independent events.
O A. True
O B. False
Hi. I need help with these questions.
See image for question.
Answer:
a = 3, b = 2Step-by-step explanation:
GivenP(x) = ax² + bx + 1P(1) = 6 and P(-1) = 2To find Values of a and bSolutionSubstitute the values of x:
P(1) = 6
6 = a(1)² + b(1) + 16 = a + b + 1a + b = 5P(-1) = 2
2 = a(-1)² + b(-1) + 12 = a - b + 1a - b = 1a = b + 1Substitute a in the previous equation:
a + b = 5b + 1 + b = 52b = 4b = 2Then finding a:
a = b + 1a = 2 + 1 a = 3So a = 3, b = 2
(offering alot of points) Solve: (x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).
Answer:
3x^4 -2x^3 -2x^2 +4x -10
Step-by-step explanation:
Add them term by term
20+3m=5m What does m equal?
Answer:
M= 10
Step-by-step explanation:
I edited it so now it should be right
Answer:
m = 10
Step-by-step explanation:
20 + 3m = 5m
Subtract 20 from both sides
3m = 5m - 20
Subtract 5m on both sides
-2m = -20
Divide both side by -2
-2m/-2 = -20/-2
= m = 10
Please sol
ve this real quick
Answer:
for question two: 12
for question four: 1/3
for question six: 25.75 (rounded to two decimal places)
Find the area of a rectangle with a length of 5 feet and a width of 4 5/9 feet. Write the answer as a fraction and as a decimal. Use three consecutive points to show repeating decimals, if necessary
Answer:
22.7.....feet^2Step-by-step explanation:
Step one:
given data
we are told that the length is 5 feet
and also the width is given in fractional form as 4 5/9
let's convert to decimal 4+0.55= 4.555555555555555
the width is a repeating decimal hence width = 4.5...feet
Step two:
The expression for the area is
A= lenght * width
A= 5*4.5
A=22.7...feet ^2
The area of the rectangle is 22.7 feet^2
119+a=99.7 what is the answer
Answer: 19.3
Step-by-step explanation:
please help i’ll mark brainlest
4/6 = 9/12 is a proportion.
true false
Answer:
The answer is False 9/12 simplified equals 3/4
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)
Answer:
6x+5
Step-by-step explanation:
2x-5+x-5=3x-10+2x+15=5x+5+x=6x+5
Answer:
8x + 10 is the expression for our perimeter
Step-by-step explanation:
2x -5 - x - 5 = x - 10. So the length of the right side is x - 10.
2x + 15 - x = x + 15, so the length of the other missing side is x + 15.
Now we combine like terms and simplify to get the perimeter
(2x -5) + (x) + (x-5) + (x+15) + (x-10) + (2x + 15)
Simplified we get 8x + 10 as the expression for our perimeter