Answer:
x
Step-by-step explanation:
If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'
The composition of any function, f(x), and its inverse f'(x) is x.
What is a composition of inverse function?The composition of a function and its inverse are two mathematical concepts with practical applicability.
The objective of these two concepts is to increase the understanding of functions and all the terms related to them.
Inverse functions, as the name suggests, is to describe an inverse relationship between two functions.
The composition of function is defined when the result of a function is obtained by applying another function.
The independent variable is another function.
Hence, The composition of any function, f(x), and its inverse f'(x) is x.
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A company is looking to hire a lawyer. One law firm states that their legal fees can be determined using the expression 350x + 22,000, where x is the number of hours of legal assistance. A second law firm states that their legal fees can be determined using the expression 410x+16,000. The company president wants to know when the legal fees would cost the same for each law firm. What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?
Answer:
100 hours
Step-by-step explanation:
The number of hours of legal assistance that makes the expressions 350x+22,000 = 410x+16,000 true is 100 hours.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
We have,
Two expressions that denoted the legal fees for x hours:
350x + 22,000 ____(1)
410x+16,000 _____(2)
Where x = number of hours
The number of hours where both the legal fees are equal:
350x + 22,000 = 410x + 16,000
Subtract 350x on both sides.
22,000 = 410x -350x+ 16,000
22,000 = 60x + 16,000
Subtract 16,000 on both sides.
22,000 - 16,000 = 60x
6,000 = 60x
Divide both sides by 60.
x = 100
Thus,
The number of hours of legal assistance that makes the expressions 350x+22,000 = 410x+16,000 true is 100 hours.
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Find the cube root(s): ∛1
Answer:
1
Step-by-step explanation:
1 times 1 times 1 = 1
Evaluate the expression below for a= -9, b= -4.8 and c = 8
-c+b-a=
Answer:
-3.8
Step-by-step explanation:
a= -9, b= -4.8 and c = 8
Evaluating in steps:
-c+b-a=- 8 + (-4.8) - (-9) =- 8 - 4.8 + 9 = (9 - 8) - 4.8 = 1 - 4.8 = - 3.8The world record for the most number of speed skips in 60 seconds is 332 skips. If the record holder skipped at a constant ratio of seconds to skips, how many skips did she make in 15 seconds?
Answer:
83
Step-by-step explanation:
If that number of skips is represented by s, we can write the proportion ...
skips/seconds = s/15 = 332/60
s = 332(15/60) = 332/4 = 83
She skipped at the rate of 83 skips in 15 seconds.
_____
Additional comment
If the ratio seconds : skips is constant, then so will be the ratio skips : seconds.
Answer:
332/60 is 5.53, then multiply that by 15 and your answer is 83
Step-by-step explanation:
for the past five baseball seasons miguel had 122 45 109 124 and 115 hits what is his median number of hits for the past five seasons
Answer:
His median hit = 115
Step-by-step explanation:
Given:
122 45 109 124 and 115 hits
To find his median hit, you will either arrange the hits in ascending order or descending order
In ascending order (lowest to highest value)
45, 109, 115, 122, 124
In descending order (highest to lowest value)
124, 122, 115, 109, 45
It can be observed that thehe hits are 5
The median is the middle value
From either the ascending or descending order arrangement, 115 is the middle hit.
Therefore, his median hit = 115
Is -0.11 a natural number?
Answer:
No it's not.
Step-by-step explanation:
A natural number is the subset of:
Positive numbersDoesn't include Zero.Hope this helps ;) ❤❤❤
Answer:
No
Step-by-step explanation :
a natural number is a positive integer greater than 0 and a number that does not include a decimal point.
Evaluate 5y+x2÷2 when x=4 and y=−3. When x=4 and y=−3, 5y+x2÷2=
What is the domain of the function graphed below?
Answer:
Domain: 0, 5
Range: 0, 2
Step-by-step explanation:
The Domain is the first coordinate which is x.
The Range is the second coordinate which is y.
Hope This Helps :)
The domain of the function will be 0 < x ≤ 5. The correct option is A.
What is a domain?In mathematics, a domain typically refers to a set of values for which a particular function or equation is defined. For example, the domain of the function f(x) = 1/x is all real numbers except for x = 0 since the function is undefined at that point.
The Domain is the first coordinate which is x. The Range is the second coordinate which is y.
The domain of the given graph in the image will be calculated as,
0 < x ≤ 5
Therefore, the correct option is A.
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The left and right page numbers of an open book are two consecutive integers whose sum is 283. Find these page numbers
Answer:
141 142 got u
Step-by-step explanation:
Answer:
Step-by-step explanation:
3х2- х +7+ 5х +2 – 2х2
Answer:
[tex] x^2 + 4x + 9 [/tex]
Step-by-step explanation:
3х^2 - х + 7 + 5х + 2 – 2х^2
Combine like terms. Like terms have the same variables and the same exponents.
3x^2 and -2x^2 are like terms and can be combined.
-x and 5x are like terms and can be combined.
7 and 2 are like terms and can be combined.
3х^2 - х + 7 + 5х + 2 – 2х^2 =
= 3х^2 – 2х^2 - х + 5х + 7 + 2
= x^2 + 4x + 9
How many tattoos does Niall Horan have?
Answer:
0
Step-by-step explanation:
hope this helps with your math
Answer:
none
Step-by-step explanation:
Solve the equation A = bh for b.
a) b = Ah
b) b = A/h
c) b = h/A
d) b = h – A
Answer:
b)b=A/h
Step-by-step explanation:
A=bh
Dividing both side by h,
or, b=A/h
OR,
A=bh
or, b=A/h
HOPE IT IS HELPFUL FOR YOU
PLEASE MARK ME AS A BRAINEST
Answer: b = A/h
Step-by-step explanation:
A container holds 4 cups of cookie dough and a serving is 1/3 cup. How many servings are in one container of cookie dough?
Answer:
4 x 1/3 is 12
Step-by-step explanation:
Because, the whole number 4 is in front and when you multiply you get 12.
4. Mrs. Brown can buy student movie tickets for $8 and adult tickets for $15.
Determine the total cost Mrs. Brown would pay for 3 student tickets and 2 adults?
Answer: Total of $54
Step-by-step explanation:
(25 POINTS!!!!) a rectangular garden measures 5 feet by 4 feet. The length and width are both increased by the same amount and the new area is 56 square feet. What are the new dimensions of the garden?
The new dimensions of the garden are 8 feet and 7 feet.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Given that,
The length of rectangular garden = 5 feet,
And the width of rectangular garden = 4 feet.
The area of rectangular garden = 5 x 4 = 10 square feet.
Let the length and width are increased by x feet, to make the new area 56 square feet.
The new length = 5 + x,
and new width = 4 + x.
The area = 56
(5 + x) × (4 + x) = 56
Substitute, x= 3 which satisfies the equation,
So, the new length of garden = 5 + 3 = 8 feet,
And the new width of garden = 4 + 3 = 7 feet.
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8)
Solve for x.
-3x - 8 = 10
A)
-54
B)
-6
C)
6
D)
5
54
Answer:
X= -6 (B)
Step-by-step explanation:
-3x=18
X=18/-3
X= -6
Solve: 1 x + 2 = -x + 7
10
5/2
2/5
20
Answer:
5/2
Step-by-step explanation:
1x+2=-x+7
2x=5
x=5/2
How many significant figures does 00.4463 have?
find the domain & range, pls helpp
Answer:
Domain: 1, 6
Range: 4
Step-by-step explanation:
The Domain is the first coordinate which is x
The Range is the second coordinate which is y
The domain is the set of departure of a function into constrained to fall it is the sex X in the notation f:X-Y and is denoted as dom. The range is set of data is the diffrence between largest and smallest values so The domain is 1,6 and range is 4
what is 4 fifteenths plus 11 twelves in simplest form
Answer:
192
Step-by-step explanation:
4(15)+11(12)
15+15+15+15=60
4(15)=60
12+12+12+12+12+12+12+12+12+12+12=132
11(12)=132
60+132=192
Hope this helps ;) ❤❤❤
Please help I will give out brainliest and 100 points
Answer:
20.5 cm
21.5 cm
Step-by-step explanation:
Length is 21 cm correct to 2 significant figures
Find lower and upper bounds
The lower bound is the smallest value that will round up to the approximate value. The upper bound is the smallest value that will round up to the next approximate value.As per above definition:
Lower bound is 20.5 cm rounded to 21 Upper bound is 21.5 cm rounded to 22Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
Length is measured 21 cm correct to 2 significant figures
a. Lower bound of 21
= 20.5 < 21
= 20.5
b. Upper bound of 21
= 21 < 21.5
= 21.5
Need Help on Pre Cal
======================================================
Explanation:
This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.
We have three different situations here
If t = 17, then h(t) = sqrt(17t) based on what the first row saysIf t = 19, then h(t) = -34/t which is the second row of the piecewise function.If t does not equal either 17 or 19 (ie t is anything but those values), then h(t) = 23-tThe notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...
h(t) = sqrt(17t)
h(17) = sqrt(17*17)
h(17) = sqrt(17^2)
h(17) = 17
In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.
Which problem can we solve with 1/3 divided by 4.
Step-by-step explanation:
1/3÷4
1/3×4
4/3the answer is 4/3
4. A pizzeria bakes 6 dozen slices of pizza an hour. How many slices are baked
each minute? Record only the numerical part of your answer.
-Write 4.82 as a mixed number.
Write 7.7 as a mixed number.
OMG I NEED HELP i will give 10 points
Answer:
1)4 41/50
2)7 7/10
What is the value of x?
6.75+3/8×=13 1/4
Answer:
x = 17.3333
Step-by-step explanation:
Solve for x:
(3 x)/8 + 6.75 = 13 + 1/4
Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.
Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:
(3 x)/8 + 54/8 = 13 + 1/4
Hint: | Combine (3 x)/8 + 54/8 into a single fraction.
(3 x)/8 + 54/8 = (3 x + 54)/8:
(3 x + 54)/8 = 13 + 1/4
Hint: | Put the fractions in 13 + 1/4 over a common denominator.
Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:
(3 x + 54)/8 = (4×13)/4 + 1/4
Hint: | Multiply 4 and 13 together.
4×13 = 52:
(3 x + 54)/8 = 52/4 + 1/4
Hint: | Add the fractions over a common denominator to a single fraction.
52/4 + 1/4 = (52 + 1)/4:
(3 x + 54)/8 = (52 + 1)/4
Hint: | Evaluate 52 + 1.
52 + 1 = 53:
(3 x + 54)/8 = 53/4
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (3 x + 54)/8 = 53/4 by 8:
(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53
Hint: | Any nonzero number divided by itself is one.
1/8×1/(1/8) = 1:
3 x + 54 = 1/4×1/(1/8) 53
Hint: | Write 1/4×1/(1/8) as a single fraction.
Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:
3 x + 54 = 1/4×8×53
Hint: | Express 1/4×8×53 as a single fraction.
1/4×8×53 = (8×53)/4:
3 x + 54 = (8×53)/4
Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.
8/4 = (4×2)/4 = 2:
3 x + 54 = 2×53
Hint: | Multiply 2 and 53 together.
2×53 = 106:
3 x + 54 = 106
Hint: | Isolate terms with x to the left hand side.
Subtract 54 from both sides:
3 x + (54 - 54) = 106 - 54
Hint: | Look for the difference of two identical terms.
54 - 54 = 0:
3 x = 106 - 54
Hint: | Evaluate 106 - 54.
106 - 54 = 52:
3 x = 52
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 x = 52 by 3:
(3 x)/3 = 52/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
x = 52/3
Hint: | Express 52/3 in decimal form.
52/3 = 17.3333:
Answer: x = 17.3333
Answer:
52/3
Step-by-step explanation:
The answer above me ^^
Question 5 (25. pts)
What can you conclude about your observations in Question 4? What happened as you moved P, the center of rotation, about the coordinate plane? How can you extend your discoveries about the vertices to all points that lie on a figure or shape?
Answer:
No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.
Step-by-step explanation:
what value of n makes the equation ? 4(0.5-3)=n-0.25(12-8n)
Answer:
4(0.5-3)=n-0.25(12-8n)
2-12=n-3+2n
-10=-3+3n
-10+3=3n
-7=3n
n=-2.3
Answer: n= -7/3
Step-by-step explanation:
4(0.5 - 3) = n - 0.25(12 -8n) solve for n .
2 - 12 = n - 3 + 2n
-10 = 3n - 3
+ 3 +3
n = -7/3
The measure of the complement of the supplement of angle A is 28°. The measure in degrees of angle A is
You can put this solution on YOUR website!
Define your variables,
Let X be your Angle
Then 180 - X is your Supplement
and 90 - X is your complement
Now you need to put these into an equation, this particular word probled does not have the equal sign "IS" however, the word measure0-xs, is the same, so that is where your = sign will go.
Your Equation should be...
180-x=2*(90-x)+28
Distribute
180-x=180-2x=28
Subtract 180 From Both Sides and add 2X to Both Sides
X+=+28
Your angle is 28, the Supplement is 152 and your Complement is 62
I have fewer than 25 acorns.
I have more than 21 acorns.
Draw how many acorns I could have.
Answer:
21 < a < 25
Step-by-step explanation:
More than 21 acorns is represented by 21 <
Fewer than 25 acorns is represented by < 25
Let a be the number of acorns you could have.
21 < a < 25