Which graph represents f(x) and the inverse f^-1(x)

Answer:

Use points (0,-7) and (1,-5)

please see below if you would like a graph.

Step-by-step explanation:

The equation is y=2x-7

we need two points.

The equation is in y=mx+b form, where m is the slope and b is the y intercept

In that case we already know a point, since -7 is in the place of b. The y intercept as a point is (0,b). Therefore, our first point is (0,-7)

We also know the slope of the line, which is 2. The formula for slope is rise/run That means that the next point would be to go right one, and up 2, (both indicate a positive direction), or to the left one, and down 2(both indicate a negative direction.) Let's use the positive way.

going to the right 1=+1 on x. (1, y)

Going up 2=+2=-7+2=-5

Point is (1,-5)

use points (0,-7), and (1,-5)

please see below for a graph to compare.

hope this helps!

Answer:

It can be represented by the expression 2r, or “two times the radius.” So if you know a circle's radius, you can multiply it by 2 to find the diameter; this also means that if you know a circle's diameter, you can divide by 2 to find the radius. Find the diameter of the circle.

Step-by-step explanation:

you'r welcome :)

Answer:

Sales price = $78

Original price = $61

Step-by-step explanation:

Ulian bought the shows for $120 at a specialty store. This discount store had it at $42 less. The price at the discount store is therefore:

= 120 - 42

= $78

The shoes at the discount store are 61% off and the discounted price is $78. Assume the original price is x. The original price will be:

x - (x * 61%) = 78

x - 0.61x = 78

0.39x = 78

x = 78/0.39

x = $200

Given:

The Benjamin's distance from City A, t hours after leaving his house is

[tex]D=260-65t[/tex]

To find:

The slope of the equation and what is its interpretation in the context of the problem?

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m (coefficient of variable x) is slope and b is y-intercept.

We have, the equation

[tex]D=260-65t[/tex]

It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.

It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.

Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.

Answer:

The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.

Step-by-step explanation:

The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.

Have a good day :)

Answer:

The result of multiplying 7 with 8 is called the product. Thus, the product of 7 and 8 is as follows:

56

In other words, we find the product of 7 and 8 by simply calculating 7 times 8 which equals 56. Pretty easy huh?

If someone asks you, "What is the product of 7 and 8?", your answer will be:

7 x 8 = 56

To find any product in the future on your own, just remember that the product is the answer you get when you multiply numbers together.

Answer:

56

Step-by-step explanation:

Product means to multiply

7 * 8 = 56

Check...

56 / 7 = 8

56 / 8 = 7

Yes

Hope this helped!

Have a supercalifragilisticexpialdocious day!

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

[tex](-10)+(-7)= - 10 - 7 = - 17[/tex]

Answer:

C

Step-by-step explanation:

Answer: n = 0

Step-by-step explanation: Let's solve for n, according to the linear equation given, this way:

10n + 0.3 = 0.1n + 0.3

10n - 0.1n = 0.3 - 0.3 (Like terms)

9.9n = 0

n = 0/9.9

n = 0

Answer:

8

Step-by-step explanation:

x=25-17

x=8

don't forget to collect like terms

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

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

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

Answer:

2(h-8)-h=h-16

2(h-8)=h+h-16

2(h-8)=2h-16

2(h-8)=2(h-8)

h-8=h-8

h-h=8-8

0=0 so their can be infinite value of h.

hence c is correct

we can put in place of anything but answer will be zero.

Answer:

C h= infinitely many solutions

Step-by-step explanation:

when you replace h with any number it is true

say h= 3

2(3-8) - h = h-16

2(-5) - 3 = 3 - 16

-10 - 3 = -13

-13 = -13

using distributive property:

2h-16-h = h-16

combine like terms

h-16=h-16

it is the same expression on both sides of the equal sign

hope that helps!

______________________________

 - We do this because in order to add these, they must have the same denominator. So you must find the LCF, (Least Common Factor) of 6 and 4.

 - [tex]\frac{1}{6}[/tex] changes to [tex]\frac{2}{12}[/tex] by multiplying the numerator and denominator by 2. And  [tex]\frac{1}{4}[/tex] changes to [tex]\frac{3}{12}[/tex] because you multiply the numerator and denominator by 3.

 - Since both fractions have the same denominator all you have to do is add the numerators together.

______________________________

Answer:

306

Step-by-step explanation:

Answer: Both A, and C

Step-by-step explanation:

The answer to the first system of equations (2x+2y=16) would be

x=3 and y=5 ( 3x-y=4 )

Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.

If A is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If B is x+y=16, then x=5 and y=11

         3x-y=4

If C is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If D is 6x+6y=48 , then x=-2 and y=10

            6x+2y=8

Both A and C are equal to the first system of equations, which means they are both correct answers.

Tessa carved a total of 30 figures including bird and cat figures.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

let, The number of cat figures is 'x'.

Given, She has carved 4 times as many bird figures as cat figures.

Therefore, 4x = 24.

x = 24/4.

x = 6.

So, Tesaa carved 6 cat figures and hence she carved a total of

24 + 6 = 30 figures.

learn more about numerical expressions here :

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Answer:

Step-by-step explanation:

this is an equation because it has an equal sign,

expressions do not have an = sign

Answer: Equation

Step-by-step explanation: This is an example of an equation.

Equations are mathematical sentences that contains an equals sign.

Answer:

Florida became a territory of the United States.

Step-by-step explanation:

i got it right on Edge

The correct option for the given statement is Florida became a territory of the United States.

Adams-Onís TREATY:-

The Adams-Onís Treaty between the United States and Spain was negotiated by Secretary of State John Quincy Adams and the Spanish Minister to the United States, Don Luis de Onís, and signed in February 1819.

The principal elements in the treaty were the acquisition of Florida by the United States and the establishment of a boundary line between Spanish territory and the United States.

After the Louisiana Purchase in 1803, Pres. Thomas Jefferson argued that Florida was included in Louisiana. In 1810 and 1812 the United States annexed sections of West Florida.

In the treaty Spain gave East and West Florida to the United States, and the United States agreed to assume claims by citizens of the United States against Spain.

Hence, the answer is Florida became a territory of the United States.

For more references on Adams-Onís TREATY, click;

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Answer:

It's 6.

Step-by-step explanation:

6- 1, 2, 3, 6

36- 1, 2, 3, 4, 6

The greatest common factor of 6 and 36 is 6

Given data ,

Let the first number be represented as p

where the value of p = 6

Let the second number be represented as q

where the value of q = 36

To find the greatest common factor (GCF) of 6 and 36, we need to determine the largest positive integer that can divide both numbers evenly.

To begin, we can list the factors of each number:

Factors of 6 : 1 , 2 , 3 , 6

Factors of 36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

From the lists, we can see that both 6 and 36 share a common factor of 6. The GCF of 6 and 36 is therefore 6, as it is the largest number that can evenly divide both 6 and 36.

Hence , the greatest common factor is 6

To learn more about greatest common factor click :

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Answer:

D

Step-by-step explanation:

I would say D because youre trying to find red and blue so green and brown dont matter to the problem. If 12÷6= 2 then. do 60÷2=30 so they can be drawn about 30 times

Answer:

13-13i

Step-by-step explanation:

2(5+i)-3i(5+i)

10+2i-15i-3i²

10-13i+3

13-13i

Answer:

[tex]\mathrm{A.\:}x+2y=a[/tex]

Step-by-step explanation:

In standard form [tex]ax+by=c[/tex], any point the line passes through will make the inequality true. We can simply use any point given to find the equation of the line:

We can write the following system of equations from two points from the table:

[tex]\begin{cases}d\cdot3a+e\cdot(-a)=f\cdot a\\d\cdot5a+e\cdot(-2a)=f\cdot a\end{cases}[/tex]

Solving, we get:

For [tex]a \notin 0[/tex],

[tex]d=1,\\e=2,\\f=1[/tex]

Therefore, our equation is:

[tex]dx+ey=fa,\\1x+2y=1a,\\\fbox{$x+2y=a$}[/tex].

Answer: 180 people

Step-by-step explanation:

Number if people living in the town = 800

Children aged 17 or younger = 200

Adults of 18 and above = 800 - 200 = 600

Since 15 out of every 50 adults work in the factory, the number of people that work in the factory will be:

= 15/50 × 600

= 180 people

Answer:

x = 4, y = 3

Step-by-step explanation:

Answer:

24 apple to make 4 apple pies

Step-by-step explanation:

6 apples for a pie, and we need to make for pies soo.... 6×4 which equals 24 hope this helped. please mark me brainilyest

Answer:

y =  4/3x + 4

Step-by-step explanation:

Answer:

we will do this lesson in our class day after tomorrow

Step-by-step explanation:

well I don't know the answer