Which function below is the inverse of f(x) = The quantity of four x minus three, over two.?

Answers

Answer 1
[tex]\bf f(x)=y=\cfrac{4x-3}{2}\qquad inverse\implies x=\cfrac{4y-3}{2}\impliedby \begin{array}{llll} first\ switch\\ the\ variables\\ then\ solve\\ for\ "y" \end{array} \\\\\\ 2x=4y-3\implies 2x+3=4y\implies \cfrac{2x+3}{4}=y=f^{-1}(x)[/tex]

Related Questions

Suppose your walking rate is 4 feet per second. write that in miles per hour

Answers

4 ft/sec X 3600 sec/hour = 14400 ft/hour

14400 ft/hour / 5280 ft/mile = 2.727 miles/hour

The following is a geometric sequence.
1, 2, 6, 24

TRUE

FALSE

Answers

The answer is false  
Of course answer is false

Solve for h: a = 1/2bh

h = A over 2b
h = A/b (1 /2)
h = 2Ab
h = 2A/b

Answers

The answer is: [tex]A=(1/2)bh 2A=2(1/2)bh 2A=bh (2A)/b=(bh)/b h=2A/b [/tex]

Can someone help me please ? Thanks!

Answers

Use pythagorean theorem for all of them
a. 3, 4, 5
3^2+4^2?5^2
9+16?25
25=25
right 

b. 5, 6, 7
5^2+6^2=7^2
25+36=49
61>49
acute

c. 64+81=144
145>144
acute

hope this helps!
I will give you the general approach and you can do the calculations by yourself.

Assume 3 vertices are a,b,c

if a^2 + b^2 < c^2 ->it's obtuse

a^2 + b^2 = c^2 ->it's right

a^2 + b^2 > c^2 ->it's acute

First one is right apparently, similar combination of right triangle include 6,8,10

Algebraic expression for 5 times a number

Answers

it could be 5x, 5 being the digit, x being "a number"

Final answer:

The algebraic expression for 5 times a number is 5x.

Explanation:

The algebraic expression for 5 times a number is 5x.

The variable x represents the unknown number.

When you multiply 5 by any number, you can represent it as 5 times that number.

So, if the number is 10, the expression would be 5 times 10, which is equal to 50.

The value of a $225,000 house increases at a rate of 3.5% each year. Use a graph to predict the value of the house in 8 years.
A) ≈ $276,582
B) ≈ $286,263
C) ≈ $306,652
D) ≈ $296,282

Answers

In order to determine the value of the rent after x years, we need to generate a function which would relate the value of the rent and the time in years. The rate by which the rent increases is said to be 3.5% per year. So, if we do it manually, we would have:

value of the rent = 225000 + 225000 (.035) + 225000 (.035)(.035) + ........

However, this is a tedious and long process since we need to continue until year 8. We need to simplify it to an expression. We do as follows:

value of the rent = 225000 + 225000 (.035) + 225000 (.035)(.035) + ........

We factor out the initial rent, 

value of the rent = 225000 (1 + (.035) + (.035)(.035) + ........)

Then, we simplify the terms inside the first parentheses,


value of the rent = 225000 (1 + (.035))^x

where x is the number of years. We then substitute 8 to x to determine the value of the rent.

value of the rent = 225000 (1 + (.035))^8 = 296282.03

Choose the linear inequality that describes the graph. The gray area represents the shaded region

Answers

(0,3)(1,-2)
slope = (-2-3) / (1 - 0) = -5

y int is (0,3)

line is dashed, means no equal sign....shading above the line, means greater then

ur inequality is : y > -5x + 3


Answer:

y > -5x + 3

Step-by-step explanation:

Jorani flips two standard american quarters. how many ways can she get at least one head?

Answers

at least means 1 or more head

she can get

1 head 1 tail
1 tail 1 head
2 tails
2 heads

3 of the ways has at least 1 head


3 ways

The length of a rectangle is 3 mm greater than the width. the area is 154 mm squared. find the length and the width.

Answers

area = l x w

l = w+3

sqrt(154) = 12.4 round o 12

12-1 = 11

11+3 = 14

11 * 14 = 154

 width = 11

 length = 14


Analyze the diagram below and complete the instructions that follow.

2004-04-02-05-00_files/i0370000.jpg

Find the area of triangle QRS. Round the answer to the nearest tenth.

A.
19.4 square units
B.
91.2 square units
C.
1,040.5 square units
D.
1,052.4 square unts

Answers

The extended version of the link given shows a triangle with sides of measurements equal to 13, 16, and 15 units. 

Since we are given with the measurements of all sides, we use the Heron's formula.

                         A = sqrt ((s)(s - a)(s - b)(s - c))

where s is the semiperimeter and a, b, and c are the measures of the sides.
    
                        s = (a + b + c) /2
                        s = (13 + 15 + 16) / 2 = 22

Substituting this to the equation for the area,
                      A = sqrt ((22)(22 - 13)(22 - 15)(22 - 16))
                            A = 91.19 square units

Thus, the area is approximately equal to 91.2 square units. The answer is letter B. 

How do you write 12 hundreds

Answers

12 hundreds is 12 • 100
which equals to
1200
hope this helped!! xx
100 *12
Because it is 12 100s

What is the perimeter of the nonagon below?

Answers

The correct answer is D. 94 units. You can find this answer by simply adding all of the values around the nonagon because the perimeter is the total distance around something.

Answer:

Step-by-step explanation:

Alright, lets get started.

The sides of nonagon are given as below :

13

8

5

11

10

9

10

7

21

So, the perimeter will be addition of these sides.

Hence he perimeter is = [tex]13+8+5+11+10+9+10+7+21 = 94[/tex]

Hence the perimeter is 94 units (D)   :  Answer

Hope it will help :)

HELP ME!!!! PLEASE!!!! Ughhh

Answers

A 12/5. Opposite/Adjacent
tan(α)= Opposite / Adjacent
Opposite =12
Adjacent = 5

tan(67°) = 12/5

one teaspoon equals 0.5 centimeters. how many liters equals 50 teaspoons? Round the answer to the nearest hundredth.

Answers

50 teaspoons would equal 50*0.5 = 25 centimeters

1 cm = 0.001 liter

25*0.001 = 0.025 liters

12.252525... is an example of a ___ decimal?

Answers

Repeating decimal, these should be expressed as rational numbers...

If x=12.25...

100x-x=1225.25...-12.25...

99x=1213

x=1213/99  

x=12 25/99

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. find the probability that the first card is a king and the second card is a queen.

Answers

there are 4 kings and 4 queens in a deck

 chance of getting a king is 1/52

 chance of getting a queen without the king being put back would be 1/51

1/52 x 1/51 = 1/2652 probability

The probability of drawing first a king and then a queen from a standard deck without replacement is 0.603%, which is calculated by multiplying the individual probabilities of drawing a king and then a queen (1/13 * 4/51).

The student is asking about how to calculate the probability of drawing two specific cards from a deck of cards in succession without replacement. In a standard deck of 52 cards, the probability of drawing a king first is 4/52 since there are four kings in the deck. After drawing a king, there are 51 cards left, and the probability of drawing a queen next is 4/51 because there are four queens in the deck. These events are dependent because the outcome of the second draw depends on the first.

To find the combined probability of both events happening, we multiply the probabilities of each event:

P(first card is a king) = 4/52

P(second card is a queen after drawing a king) = 4/51

So, the probability is (4/52) * (4/51), which simplifies to 1/13 * 4/51.

Combined probability = (1/13) * (4/51) = 4/663 = 0.006033182503770739, or about 0.603% when expressed as a percentage.

Two friends left school at the same time and drove in opposite directions. One friend averages 40 miles per hour and the other friend averages 35 miles per hour. when will they be 150 miles apart?

Answers

Therefore, the two friends will be 150 miles apart in 2 hours.

Answer:

The two friends will be 150 miles apart in 2 hours

Step-by-step explanation:

The two friends left the school at the same time and drove in opposite directions. One of them have a speed of 40 miles per hour while the other have a speed of 35 miles per hour .

The both of them are moving apart at the rate  = 40 + 35 = 75 miles per hour

let

t = time at which they are 150 miles apart

speed = distance/time

time  = distance/speed

time = 150/75

time = 2 hours

The two friends will be 150 miles apart in 2 hours

Which number produces irrational number when added to 0.5

Answers

square root of 3 and Pi

Answer with explanation:

The  number in which we have to add  a number to give irrational = 0.5

    [tex]0.5=\frac{5}{10}\\\\=\frac{1}{2}[/tex]

is a Rational Number as the decimal expansion terminates or denominator contains the number in the form of [tex]2^n \text{or} 5^m \text{or} 2^n \times 5^m[/tex].

→Sum of two Rationals Can't be a Irrational Number.

→Sum of Rational And Irrational is Irrational.

So, if you add any Irrational number like √2,π,∛2 to , 0.5  , it will give an Irrational Number.

⇒0.5 +Irrational Number=Irrational Number

Which of the following is the coefficient in the algebraic expression 8x+z^2

Answers

8 would be the coefficient in this expression. It comes before the variable making it a coefficient.

Answer:

The coefficients are 8 and 1.

Step-by-step explanation:

In order to determine the answer, we have to know about algebraic expressions.

An algebraic expression is conformed by terms or only one term.

A term is just a variable with a coefficient. Also similar terms have the same variable but no always the same coefficient. Therefore if the algebraic expression has two terms, so there are two coefficients. The coefficient with value "1" is not necessary write it.

In this case, we have two terms:

"x" variable."z" variable.

So, we have two coefficients:

For x, the coefficient 8.For z, the coefficient 1.

Finally, the coefficients are 8 and 1.


Read the following statement: x + 6 = 6 + x. This statement demonstrates:

the substitution property.
the reflexive property.
the symmetric property.
the transitive property.

Answers

The reflexive property because the reflexive property states that anything is equal to itself, and x+6 is the same as 6+x
the reflexive property

5. Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work. a. 3in, 4in, 5 in b. 5in, 6in, 7in c. 8in, 9in, 12in

Answers

although you can draw them out to see, a and c are Pythagorean triples so they are right angled. for B you might have to draw it

The triangle with measures 3 in., 4 in. and 5 in. made up right angle triangle.

What is a triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

a) Given that, 3 in., 4 in. and 5 in.

By using Pythagoras theorem, we get

5²=3²+4²

25=9+16

25=25

So, the triangle is right triangle.

b) The given sides of triangle measures 5 in., 6 in. and 7 in.

To determine whether the triangle is acute, right, or obtuse, add the squares of the two smaller sides, and compare the sum to the square of the largest side.

7²<5²+6²

49<25+36

49<61

So, the triangle is acute angle triangle.

c) The given sides of triangle measures 8 in., 9 in. and 12 in.

12²>8²+9²

144>64+81

144>125

So, the triangle is obtuse angle triangle.

Therefore, the triangle with measures 3 in., 4 in. and 5 in. made up right angle triangle.

Learn more about the triangle here:

brainly.com/question/2773823.

#SPJ7

Find the surface area of a hemisphere with a diameter of 26 cm. Round your answer to the nearest tenth.

Answers

The surface area of a sphere is [tex]4 \pi r^{2} [/tex].

Hence, the surface area of a hemisphere is half that, [tex]2 \pi r^{2} [/tex].

If the base is also included then the surface area will be [tex]3 \pi r^{2} [/tex].

Given,

Diameter = 26 cm

Therefore, Radius = [tex] \frac{26}{2} [/tex] = 13 cm

Thus, 

Area = [tex]3 * \pi * 13^{2} = 3 * \pi * 169 = 507 \pi = [/tex] = 1592.8 [tex] cm^{2} [/tex] [approx.]

An expression is shown below:

square root of 32 plus square root of 2

Which statement is true about the expression?

It is rational and equal to 4.
It is rational and equal to 5.
It is irrational and equal to 5 multiplied by square root of 2.
It is irrational and equal to 4 multiplied by square root of 2.

Answers

[tex]\sqrt{32}+\sqrt{2}=\sqrt{16\times 2}+\sqrt{2}=\sqrt{16}\times \sqrt{2}+\sqrt{2}=4\sqrt{2}+\sqrt{2}=\boxed{5\sqrt{2}}[/tex]

The answer is "It is irrational and equal to 5 multiplied by square root of 2."

Answer:

It is irrational and equal to [tex]5[/tex] multiplied by square root of [tex]2[/tex]

Step-by-step explanation:

we have

[tex]\sqrt{32}+\sqrt{2}[/tex]

Remember that

[tex]32=2^{5}[/tex]

substitute in the expression

[tex]\sqrt{2^{5}}+\sqrt{2}=4\sqrt{2}+\sqrt{2}=5\sqrt{2}[/tex]

therefore

It is irrational and equal to [tex]5[/tex] multiplied by square root of [tex]2[/tex]


someone answer and explain how to do this plz

Answers

area = 1/2 * height * base
Here height = 4 and base = 13

area = the height times the base divided by 2

13*4=52

52/2 = 26

 area = 26 sq. units

A collection of 24 coins, consisting of nickels, dimes, and quarters, has a value of $3.40. if there are twice as many quarters as nickels, and one-third as many nickels as dimes, how many coins of each kind are there?

Answers

There would be 8 quarters, 12 dimes, and 4 nickels.
8x.25=2
12x.1=1.2
4x.05=.2
2+1.2+.2=3.4

Determine the equation of the graph and select the correct answer below.

y = (x + 1)2 + 3
y = (x + 1)2 − 3
y = (x − 1)2 − 3
y = (x − 1)2 + 3

Answers

y = (x − 1)2 + 3 hope this helps
From the graph, the vertex is at (1, -3)

vertex form  is y = (x-h)^2 + k

where h,k) is the vetex

so here we have y = (x - 1)^2 - 3

Its C

how many different ways can an after school club of 13 students line up

Answers

13 x 13  = 169 different ways. 

Answer: 6227020800

Step-by-step explanation:

How to simplify all this numbers to make one equation?

Answers

[tex]6-(x+2)-4x=6-x-2-4x=-5x+4[/tex]
6-(x+2)-4x  You must first multiply all terms in the parentheses by -1

6-x-2-4x, then you must combine like terms

(-x-4x)+(6-2)

-5x+4

NEED HELP!!!!
Which of the following types of statement cannot be used to explain the steps of a proof? Check all that apply.
1.Postulate
2.Theorem
3.Conjecture
4.Guess
Choose more then 1

Answers

Answer:

Please don't use the answer that was given ,,, the correct answer is GUESS and Conjecture

Step-by-step explanation:

?? Please help answer and solve, showing the steps you took

Answers

We apply the concept of calculus here. You can determine the minimum or maximum in here if you take the derivative of a function and equate it to zero. The solution is as follows:

n = 20t² - 20t +120
dn/dt = 0 = 40t - 20 + 0
40t - 20 = 0
40t = 20
t = 20/40
t = 1/2 or 0.5

Therefore, the number of bacteria would be minimal at 0.5°C.
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