Answers
f-¹f(10)=10
Answer:
Solution given:
f(x)=3x-2
let
y=3x-2
interchanging role of x and y
x=3y-2
y=[tex]\frac{x+2}{3}[/tex]
so
f-¹(x)=[tex]\frac{x+2}{3}[/tex]
now
f(10)=3*10-2=28
now
f-¹f(10)=f-¹(28)=[tex]\frac{28+2}{3}[/tex]=10
Related Questions
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.
Answers
Answer:
355
Step-by-step explanation:
185+140= 325
325+20= 355
Answer:
30/185×100=
Step-by-step explanation:
30/140×100=
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
A. The x^2
B. =
C. The - 4x
D. The 9
Answers
Answer:
To complete the square, we need to have the equation set up like this:
x^2 +4x =9
To do that, we'd need to move the 4x to the left side producing
4x + x^2 = 9
And that can be rewritten as
x^2 +4x =9
So the term that needs to be moved is -4x
https://www.1728.org/quadr2.htm
Step-by-step explanation:
Please helpppp for tan need help quick
Answers
Answer:
8/15Step-by-step explanation:
according to the Pythagoras theorem ,
SohCahToa
Soh - sine is opposite , hypotenuse
Cah -cos is adjacent , hypotenuse
Toa - tan is opposite, adjacent
from the diagram above , the tan is 8/15.
Hope this is helpful ,
have a nice day :-)
need help ASAP due in a few min
Answers
Answer:
A
Step-by-step explanation:
T o show the inverse, the output becomes the input
The input is the output
The input is 2,4,6,8
The output is 1,3,5,7
They will also be in the same order so 1 went to 2 so 2 will go to 1
Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
Answers
Answer:
(a) Set of rational numbers
(b) [tex]\pi + (-\pi) = 0[/tex]
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
[tex]1 - 2 = -1[/tex]
[tex]5 - 5 = 0[/tex]
[tex]\frac{1}{2} - \frac{1}{4} = \frac{1}{2}[/tex]
[tex]4 - 2 = 2[/tex]
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
In the given options (a) to (d), only
[tex]\pi + (-\pi) = 0[/tex] is not close under addition because:
[tex]\pi[/tex] is irrational while [tex]0[/tex] is rational
In other words, they belong to different set
the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is 105 and for a journey of 15 km, the charge paid is 155. How much does a person have to pay for traveling a distance of 25 km?
Answers
Answer:
255
Step-by-step explanation:
total cost paid = fixed cost + total variable cost
total variable cost = distance travelled x variable cost per unit
two equations can be derived from the question
a + 10b = 105 equation 1
a + 15b = 155 equation 2
a = fixed cost
b = variable cost per unit
Subtract equation 1 from 2
5b = 50
b = 10
Substitute for b in equation 1
a + 10(10) = 105
a = 105 - 100 = 5
a = 5
cost of travelling a distance of 25km
5 + 10(25) = 255
The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?
Answers
Solve for V
To solve for V we have to do the following.
The formula above reads V(Volume of air) equals 4 divided by 3 times pi times 6 to the power of 3
Answer:
904.78
Step-by-step explanation:
The second statement is the
of the first.
X = у
y = x
A. contradiction
B. inverse contrapositive
C. inverse
D. converse
a
SUBMIT
HELP
Answers
Answer:
The second statement is the
of the first.
X = у
y = x
A. contradiction
B. inverse contrapositive
C. inverse
D. converse
Step-by-step explanation:
imverse
The second statement is the contrapositive of the first.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that x → y is a conditional statement read as 'if x then q'.
And, The converse EXCHANGES the hypothesis and conclusion such as:
⇒ y → x
And, The 'contrapositive' statement basically NEGATES the converse of the conditional such as:
⇒ ¬y → ¬x
Coming back towards the question,
Given that;
x ⇒ y
¬y ⇒ ¬x
Therefore, The second statement is the contrapositive of the first.
Learn more about the mathematical expression visit:
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Directions: Factor, write prime if prime
Q: 12x^2-9x+15
Someone help and QUICK!!!
Answers
Answer:
2x^2-9x+15
It is prime/unfactorable
Step-by-step explanation:
What is the answer. Do anything begging for help
Answers
Answer:what’s the question?
Step-by-step explanation:
If p(x) = x^3 + 3x^2 - 2x + 4, then find the value of
p(2) + P(-2) - (0)
Answers
Answer:
the answers is =-0
Step-by-step explanation:
is -0
(3x^2+x)(5x^3-2x^2+7)
Answers
Answer:
15x5−x4−2x3+21x2+7x
Step-by-step explanation:
=(3x2+x)(5x3+−2x2+7)
=(3x2)(5x3)+(3x2)(−2x2)+(3x2)(7)+(x)(5x3)+(x)(−2x2)+(x)(7)
=15x5−6x4+21x2+5x4−2x3+7x
=15x5−x4−2x3+21x2+7x
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
3
Answers
Answer:
What grade math is this??
Step-by-step explanation:
Answer:92.1
Step-by-step explanation:
A=78+4.5
A=92.137166941154
A=92.1
PLEASE ANSWER 20 POINTS!
Answers
Answer:
Base - 7 yards
Height - 10 yards
Area - 35 square yards
Step-by-step explanation:
By definition, the base and height must be perpendicular. Technically, they are interchangeable, but base usually refers to the relative bottom of a figure.
The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex].
Therefore, we have:
[tex]A=\frac{1}{2}\cdot 7\cdot 10=\boxed{35\:\text{square yards}}[/tex]
HELP ASAP!! ILL MARK BRAINLIEST! David recorded the ages, in years, of the members of four high school clubs. Each club has the same number of members. A brief description of David’s data is shown.
Music Club: This club has the same number of members older than 16 and younger than 16.
Physics Club: This club has the greatest number of older members.
Sports Club: This club has the greatest number of younger members.
History Club: This club has the oldest member enrolled.
David then made box plots showing his data. Match the labels of the clubs to the box plots. Drag and drop each club into the indicated rectangles.
Answers
Answer:
for the music blue the median would be in the middle
for the physics the upper quartile would be the farthest right
for the sports the lower quartile would be the farthest left
for the history the line would go the farthest right
EASY GEOMETRY PLS HELP!!!! AREA IF parallelogram
Answers
Answer
80 m^2
Step-by-step explanation:
basically 10 x 8 plus the value
Write the equation (y = mx+b) for the following scenario: A bulldozer can be rented at a fixed rate of $800 plus $120 for every hour that it is used.
Answers
x = hours
y = (120)x + 800
Can someone help me out these problems !!!
Answers
Answer:
Zoom in more and I can help
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary. Please help!!!!
45
W
V
92
Answers
Answer:
[tex]\displaystyle x^\circ \approx 29.3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite Leg = 45
Hypotenuse = 92
Step 2: Solve for x
Substitute in variables [sine]: [tex]\displaystyle sin(x^\circ) = \frac{45}{92}[/tex]Inverse Trig: [tex]\displaystyle x^\circ = sin^{-1}(\frac{45}{92})[/tex]Evaluate: [tex]\displaystyle x^\circ = 29.2834436[/tex]Round: [tex]\displaystyle x^\circ \approx 29.3[/tex]ASAP work pls answer
Answers
If the sum of three consecutive integers is 36 what is the smallest integer?
Answers
Answer:
The smallest integer is 11.
Step-by-step explanation:
Let the first integer be x.
Then the second will be (x + 1) and the third will be (x + 2).
The sum is 36. Hence:
[tex]x+(x+1)+(x+2)=36[/tex]
Solve for x:
[tex]3x+3=36[/tex]
So:
[tex]3x=33[/tex]
Hence:
[tex]x=11[/tex]
Our sequence is 11, 12, 13.
So, the smallest integer is 11.
Which is the graph of f(x) = (x + 3)(x - 2)?
Ty
2
4
8
o
- 4 2
4
HELP IM BEING TIMED
Answers
Answer:
the too left graph us the abswer,
Because
f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2
The graph of the function f(x) = (x + 3)(x - 2) is first graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.
First, to find the x-intercepts, we set y = 0 and solve for x:
(x + 3)(x - 2) = 0
This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.
Next, to find the y-intercept, we set x = 0 and evaluate:
f(0) = (0 + 3)(0 - 2) = -6
Therefore, the y-intercept of the graph is -6.
The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.
This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other
Hence, the graph of the function f(x) = (x + 3)(x - 2) is first graph.
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help me plesse how do i solve this multi step equation?
Answers
Answer:
h = -34/3
Step-by-step explanation:
7h +8 = 4h - 26
Subtract 4h from each side
7h-4h +8 = 4h-4h - 26
3h+8 = -26
Subtract 8 from each side
3h+8-8 = -26-8
3h = -34
Divide by 3
3h/3 = -34/3
h = -34/3
Answer:
h = - [tex]\frac{34}{3}[/tex]
Step-by-step explanation:
Given
7h + 8 = 4h - 26 ( subtract 4h from both sides )
3h + 8 = - 26 ( subtract 8 from both sides )
3h = - 34 ( divide both sides by 3 )
h = - [tex]\frac{34}{3}[/tex]
Recall that the product (a + b)(a - b) is the
difference of squares, a2 - b2
Examine this same product for radical
expressions. Choose the product of (3+ square root of 7)(3- square root of 7)
Answers
Answer:
The third option (9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex])
Step-by-step explanation:
With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².
In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×[tex]\sqrt{7}[/tex])-(3×[tex]\sqrt{7}[/tex])-([tex]\sqrt{7}[/tex])².
Solving these gives 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-7. This is the same as 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex].
**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!
The equivalent expression is (c) [tex]9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
The difference of squares equation is given as:
[tex](a + b)(a - b) = a^2 -b^2[/tex]
And the radical expression is given as:
[tex] (3+ \sqrt 7)(3- \sqrt7)[/tex]
By comparing the above expression to [tex](a + b)(a - b) = a^2 -b^2[/tex], we have:
[tex]a =3[/tex]
[tex]b = \sqrt 7[/tex]
Substitute these values in [tex](a + b)(a - b) = a^2 -b^2[/tex]
[tex] (3+ \sqrt 7)(3- \sqrt7) = 3^2 - (\sqrt 7)^2[/tex]
This gives
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - \sqrt {49}[/tex]
By complete expansion, we have:
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
Hence, the equivalent expression is (c)
Read more about difference of two squares at:
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For the acute angles in a right triangle,
sin(5x)° = cos(3x + 10)°. What is the number of degrees in the measure of the smaller angle?
Answers
Answer:
answer for this solution is 10 degrees
Step-by-step explanation:
sin x + cos x = 90
5x + 3x +10 = 90
x = 10
A grandfather clock that usually sells for $500 is selling at a 25% discount.
What is the sale price of the clock?
Answers
Answer:
$375
Step-by-step explanation:
Method I
25% = .25
500 * .25 = 125
500 - 125 = 375
-----------------------
Method II
1 - .25 = .75
500 * .75 = 375
A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80
Answers
Answer:
20 %
Step-by-step explanation:
If she saved 15 dollars and paid 60, the original price was 60+15 = 75
The percent discount is (original - new) / original = ( 75-60)/75 = 15/75 = .2
Change to percent form = .2 * 100 =20%
Answer:
B.) 20 %
The percentage discount on the shoes is 20 % .
Step-by-step explanation:
Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.To Find :-The percentage discount on the shoesSolution. :-She pays 60 dollers and saved 15 dollers on the regular price.
original price of pair of shoes = 60 + 15 = 75
Percentage discount is = original price - new price / original price
= 75 - 60 / 75 = 15 / 75 = 0.2
Percentage discount = 0.2
Change into percentage =0.2× 100 = 20%
Therefore, the percentage discount on the shoes is 20 % .
Write an equation in slope-intercept form for the line with slope -1/3 and y intercept 2
Answers
Answer: y=-1/3x+2
Step-by-step explanation: The formula for slope intercept form is y=mx+b, where m is equal to the slope and b is equal to the x-intercept. Just fill in the values to get y=-1/3x+2
Use an algebraic approach to solve the problem.
Abby has 37 coins, consisting only of dimes and quarters, worth $5.65. How many dimes and how many quarters does she have?
Answers
Answer:
13 quarters and 24 dimes
Step-by-step explanation:
13*.25=3.25
24*.1=2.4
3.25+2.4=5.65
What is the missing variable???
