F^(-1) when f(x)=2x-7/3

Answers

Answer 1
y=2x-7/3
x=2y-7/3
x+7/3=2y-7/3+7/3
(x+7/3)/2=2y/2
(x+7/3)/2= f^-1(x)

Related Questions

Use <,>,or = to compare 0.36 and 0.4.

Answers

0.36 is less than 0.4 and if I am incorrect I am very sorry I chose the best answer I could go with I hope this was somewhat useful
0.36 is less than 0.4

0.36 < 0.4

Why do some merchants, particularly smaller businesses, set a minimum purchase of $10 for any credit card transaction, or simply refuse to take any sort of bank card from consumers?

Answers

Because accepting credit cards cost the business small transaction fees. These businesses already have a paper thin profit margin, meaning if you buy less than $10 and use credit card, their profit is little to non-existent.

Answer:

Just look at the one above me

Step-by-step explanation:

2
4-(28 divided 7)+111

Answers

4-([tex] \frac{28}{7} [/tex])+111
=4-(4)+111
=111 since 4 and -4 cancel each other out

The longest straight line that can be drawn to connect two point on the circumference of a circle whose radius is 9 inches is

Answers

18 inches. The longest line would be the diameter. Since the radius is half of the diameter, 9x2=18

Answer:

18 inches.

Step-by-step explanation:

We can connect two points of a circle in many ways, as you can see in the picture below.

The longest straight line that you can draw to connect two points is the diameter, that is, the straight line that passes through the center of the circle.

If the circle has 9 inches of radius the diameter will be 9+9 = 18 inches.

John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel. And find the total number of pages in the novel

Answers

114 + 3=117
117 pages is 1/3 of the book
117×3= 251
So there are 251 pages in the novel.

Answer:

351


Step-by-step explanation:

If we add 3 pages to 114, we get a number that is [tex]\frac{1}{3}[/tex] the total number of pages in the novel (p). Thus, we can write:

[tex]114+3=\frac{1}{3}p[/tex]


Solving for p gives us the total number of pages in the novel. So:

[tex]114+3=\frac{1}{3}p\\117=\frac{1}{3}p\\p=\frac{117}{\frac{1}{3}}\\p=117*3=351[/tex]

Thus, total number of pages in the novel is 351.

(05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 9 inches and the height is 14 inches. The area of the top of the plate is ____ inches squared.


Answers

The area at the top of the plate is 63 inches squared

Answer:

63

Step-by-step explanation:

which statement is always true about an isosceles triangle A.it has 1 right angle B.it has 2 congruent angles C.it has no sides that are congruent D.the sum of all 3 angles in 360 degrees

Answers

b is the correct answer for this question

It has 2 congruent angles, is always true about an isosceles triangle

What is Isosceles Triangle?

A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that are the same length.

Angles of Isosceles Triangle:

Contrary to the equal sides, two of the isosceles triangle's three angles have equal measures. One of the angles is therefore not equal. Assume that if we are given the measure of an unequal angle, we can quickly determine the other two angles using the angle sum property.

Properties of Isosceles Triangle:

Since this triangle's two sides are equal, the base of the triangle is the side that is not equal.

The triangle's two equal sides' opposing angles are always equal.

The vertex (topmost point) of an isosceles triangle is where the altitude of the triangle is calculated.

The third angle of a right isosceles triangle is 90 degrees.

Hence, the answer (b) it has 2 congruent angles

Learn more about the Isosceles Triangle here:

https://brainly.com/question/1475130

#SPJ2

You have a 5" by 7" photo that you would like to have enlarged to fit an 8" by 10" frame. Would the two photographs be similar? Explain

Answers

No, to be similar the sides need to be proportional, in which they are not. 8/5=1.6 and 10/7=1.4. 

The averge temperature in Fairbanks, Alaska, in november is 2°F above zero. Write thiis temperture as an integer

Answers

Answer:  "2" .
_________________________________________________

Answer: Answer is 2

Step-by-step explanation:

In a box-and-whisker plot, the interquartile range is a measure of the spread of the middle half of the data. Find the interquartile range for the data set: 10, 3, 7, 6, 9, 12, 13

Answers

In statistics, it is imperative to arrange your data entries from least to greatest. That would be the first step of our solution

3  6  7  9  10  12  13

Interquartile range is the difference of the last quartile to the first quartile. Divide your entire data set into four parts. Each division is called a quartile. Its numerical value is the average of its numbers. However, since our data set contains 7 numbers, which is odd, we write the median (middle value) twice. The quartiles are:

3  6 |  7  9 | 9  10 |  12  13

Q₁= (3+6)/2 = 4.5
Q₂ = (7+9)/2 = 8
Q₃ = (9+10)/2 = 9.5
Q₄ = (12+13)/2 = 12.5

The interquatile range is Q₄ - Q₁ = 12.5 - 4.5 = 8

How many ​​60 degree angles does it take to make a full turn??

Answers

it takes 3 times 60 degree angles

Answer:

6

Step-by-step explanation:

60x 6 =360

Plz give me 5 stars and a THANK YOU!

The Moon is about 240,000 miles from the Earth what is the distance written as a whole number multiplied by a power of 10

Answers

here is the answer :
2,4 x 10^5
2.4 X 10 to the 5th i believe

Walter had 2/4 yard of string. He used 3/6 of it on a school project. How much string did he use?

Answers

2/4 reduces to 1/2

 3/6 reduces to 1/2

 so he used 1/2 of 1/2 yard

1/2 * 1/2 = 1/4

he used 1/4 yard

We have 2/4 yard of string and we are using 3/6 of it. Sometimes in mathematics, the word 'of' means 'multiply'.

[tex]\frac{2}{4} * \frac{3}{6} = \frac{6}{24}[/tex]

Simplify.

[tex]\frac{6}{24} = \frac{1}{4}[/tex]

So, 1/4 is the answer.

If x = 49 , what is the value of x(x-10)

Answers

replace 49 for x so

x(x-10) becomes 49(49-10) =

49*39 = 1911

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket

Answers

Percent means per one hundred...

$35(8/100)

$280/100

$2.80
Like with pretty much any other percentage problem, convert the percent into a decimal.

To do this, move the percent sign two places to the left and turn the percent sign into a decimal point.

8% = 0.08

There is a 8% tax on the jacket.

So, 0.08 * 35 is the expression you're looking for.

The two jar are geometrically similar.The height are 25cm and 10cm.The diameter of the larger jar is 7.5cm.Find the diameter of the smaller jar.

Answers

25/10 = 7.5/x

75/25x

x=75/25 = 3

diameter of smaller jar = 3 cm

At Wayne College, 3/4 of the students are enrolled in an art class. Of the students enrolled in an art class, 1/4 are enrolled in a painting class. What fraction of the students at Wayne College are enrolled in a painting class?

Answers

3/16.  3/4=12/16. 1/4 of 12/16 is 3/16

How many toothpicks are used to create Figure 10? Describe how you found the answer.

Answers

So for the tenth figure you would have 58 toothpicks on the bottom layer and then because for all the layers above you wouldn't need a base, you would just find the number in the next row and from there keep subtracting 4:
58
35
31
27
23
19
15
11
7
3
Now add all these numbers and you should get a total of 229

What is the slope of a line that is perpendicular to the line whose equation is 8y−5x=118y−5x=11?

Answers

8y−5x=11 
8y = 5x + 11
y = 5/8x + 11/8 has slope = 5/8
a line that is perpendicular to the line, slope is opposite and reciprocal so slope = - 8/5

answer
slope = -8/5

Answer:

The slope of a line that is perpendicular to the line whose equation is  [tex]8y-5x=11[/tex] is [tex]m=-\frac{8}{5}[/tex]                      

Step-by-step explanation:

Given : Equation [tex]8y-5x=11[/tex]

To find : What is the slope of a line that is perpendicular to the line whose equation is given?

Solution :

First we find the slope of the given line,

The general slope form of line is [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept.

Re-write the given equation into general form,

[tex]8y-5x=11[/tex]

Take 5x to another side,

[tex]8y=5x+11[/tex]

Divide both side by 8,

[tex]y=\frac{5}{8}x+\frac{11}{8}[/tex]

On comparing with general form,

The slope of the line is [tex]m=\frac{5}{8}[/tex]

We know,

When two line are perpendicular one slope is negative reciprocal of another.

If the slope of line is [tex]m=\frac{5}{8}[/tex]

Then the slope of perpendicular line on this line is  [tex]m=-\frac{8}{5}[/tex]

Therefore, The slope of a line that is perpendicular to the line whose equation is  [tex]8y-5x=11[/tex] is [tex]m=-\frac{8}{5}[/tex]

What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=107x−3y=10?

Answers

This is the concept of algebra, to get the slope of the line we need to rewrite the equation in slope intercept form y=mx+c, where m=slope, c=y-intercept.
Therefore re-writing our expression in slope-intercept form we get:
7x-3y=10
-3y=-7x+10
y=7/3x-10/3
The slope=7/3
hence we conclude that the slope of the line perpendicular to this is -3/7


A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check.

8 children and 32 adults
9 children and 31 adults
10 children and 30 adults
12 children and 28 adults

Answers

a+c=40

c=40-a

11c +20a=728

11(40-a)+20a=728

440-11a +20a=728

440+9a=728

9a = 288

a=288/9 = 32

32 adults

8 children

a + c = 40
20a + 11c = 728

Multiply equation # 1 by -11, then add the two equations together to clear the 'c' variable and solve for 'a'.

-11(a + c = 40)


20a + 11c = 728
-11a - 11c = -440
------------------------
9a  = 288
Divide both sides by 9
a = 32

a + c = 40
32 + c = 40
subtract 32 from both sides
c = 8

8 children and 32 adults; option 1

Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00. Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get $4.60 + $4.60 = $9.20 for the 15% gratuity.”

Answers

Tess is correct about figuring 10% but he added 2 of them together which is like adding 10% +10% which is 20% not 15%.

 he should have taken 1/2 of the 4.60 for 5% since 5 is half of 10

 half of 4.60 = 2.30

then add that to the 4.60

4.60 +2.30 = 6.90 is 15%

Answer:Tess 20%

Step-by-step explanation:

The average annual salary of the employees of a company in the year 2005 was $80,000. It increased by the same factor each year and in 2006, the average annual salary was $88,000. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?

f(x) = 88(0.88)x
f(x) = 88(1.1)x
f(x) = 80(0.88)x
f(x) = 80(1.1)x

Answers

the answer is f(x)=80(1.1)x

Answer: [tex]f(x) = 80 ( 1.1 ) ^x[/tex]

Step-by-step explanation:

Let the function that shows the average annual salary after x years since 2005 is,

[tex]f(x) = ab^x[/tex] ----- (1)

Where a and b are any unknown numbers.

For x = 0,

[tex]f(0) = ab^0= a[/tex]

But According to the question,

The average annual salary of the employees of a company in the year 2005 was $80,000.

Therefore, f(0)=80000 dollars.

⇒ a = 80000

From equation (1),

[tex]f(x) = 80000 b^x[/tex]  ------- (2)

Now again according to the question,

In 2006, the average annual salary was $88,000

But the average annual salary in 2006 is [tex]f(1) = 80000 b^1[/tex]

⇒ [tex] 80000 b^1=88000[/tex]

⇒ b = 1.1

Putting the value of b in equation (2),

The average annual salary after x years since 2005 is,

[tex]f(x) = 80000 (1.1)^x[/tex] dollars

Or  [tex]f(x) = 80 (1.1)^x[/tex] thousand dollars

Thus, Fourth Option is correct.


The net of square pyramid is shown below. What is the surface area of the pyramid ?

Answers

To find surface area, find the area of the net like you would for a composite figure.
For the square, area is length times width.
8*8=64
For the triangles, area is bh/2
8*8/2=32
Since there are four triangles of the same area, multiply by 4.
32*4=128

Add these values
128+64=192 cm^2

Final answer: D
this is the answer
192

Please help me!! find the solution of this system of equations -x + 5y=-18 5x - 9y= 10

Answers

Multiply the first equation by 5 to use the elimination method.

-5x+25y=-90
5x-9y=10

16y=-80
y=-5

Plug this y value into one of the original equations.

-x+5(-5)=-18
-x-25=-18
-x=7
x=-7

Final answer: (-7,-5)

Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left. How many digital cameras did he have first?

Answers

Mr. Rif-kin initially had 181 digital cameras.

Let's denote:

- [tex]\( x \)[/tex] as the initial number of digital cameras.

- [tex]\( y \)[/tex] as the initial number of manual cameras.

According to the given information:

1. Mr. Rif-kin had a total of 240 digital and manual cameras initially:

[tex]\[ x + y = 240 \][/tex]

2. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left:

[tex]\[ (x - 82) = 3(y - 26) \][/tex]

We can set up a system of equations with these two equations and solve for [tex]\( x \)[/tex] and [tex]\( y \)[/tex].

1. From Equation 1:

[tex]\[ y = 240 - x \][/tex]

2. Substituting [tex]\( y \)[/tex] from Equation 1 into Equation 2:

[tex]$\begin{aligned} & x-82=3((240-x)-26) \\ & x-82=3(214-x) \\ & x-82=642-3 x \\ & 4 x=724 \\ & x=181\end{aligned}$[/tex]

Now that we have found [tex]\( x \)[/tex], we can find [tex]\( y \)[/tex] using Equation 1:

[tex]$\begin{aligned} & y=240-x \\ & y=240-181 \\ & y=59\end{aligned}$[/tex]

So, Mr. Rif-kin initially had [tex]\( 181 \)[/tex] digital cameras and [tex]\( 59 \)[/tex] manual cameras.

The complete question is here:

Mr. Rif-kin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left. How many digital cameras did he have at first?

A cylindrical well is 25 meters deep and has a diameter of 1.8 meters. Approximately how many cubic meters of soil were dug out to make the well?
(Use π = 3.14.)
10.17 cubic meters
21.19 cubic meters
63.59 cubic meters
70.65 cubic meters

Answers

without factoring in external influences... the answer can be solved by finding the area of the circle and multiplying it by the depth of the hole.
area=.81pi
.81pi times 25= about 63.59

Answer:

The answer is C.  63.59 cubic meters

Hope This Helps!

Which expression is equivalent to 6(14)? 6(10 + 4) 6(10 + 14) 6(1 + 40) 6(10 + 40)

Answers

The first one because of you add 10 and 4 you get 14. And they both multiply 6 by 14.

Question 4(Multiple Choice Worth 5 points)

(05.03 MC)A graph is shown below:

A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. These points are connected by a line

What is the equation of the line in slope-intercept form?

y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3

Answers

Answer:

y = -3x + 36

Step-by-step explanation:

first let's start with a formula.

y = mx + b

m equals the slope and b equals the y intercept.

slope can also be indetified as a rate of change.

so, looking at the graph we can see that the y intercept is (0, 36) or 36 and the rate of change is 3 subtracted.

sorry if this is wrong im not too sure myself. and sorry this is 5 years late, but alas it's too late to turn back now since i have already wrote all this.

What are the discontinuities of the function f(x) = the quantity of x squared plus 5 x plus 6, all over 2 x plus 16. ?

Answers

Since f(x) = (x^2 + 5x + 6) / (2x + 16)

For discontinuities, they can be found at where the slope does NOT exist

Take the derivative of f(x):

f'(x) = (x^2 + 16x + 34) / 2(x+8)^2

Apparently, when x= -8, f'(x) is NOT defined

Therefore, the discontinuity is uniquely located at x = -8

Answer:

Step-by-step explanation:

Since f(x) = (x^2 + 5x + 6) / (2x + 16)

For discontinuities, they can be found at where the slope does NOT exist

Take the derivative of f(x):

f'(x) = (x^2 + 16x + 34) / 2(x+8)^2

Apparently, when x= -8, f'(x) is NOT defined

Therefore, the discontinuity is uniquely located at x = -8

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