HELP PLEASE! what is the inverse of the function f(x)=2x+1

ANSWER

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

EXPLANATION

Using any two ordered pairs we can find the equation.

Let us use

(2,15) and (5,30).

The slope is

[tex] = \frac{30 - 15}{5 - 2} = \frac{15}{3} = 5[/tex]

The equation is given by:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-15=5(x-2)[/tex]

This implies that,

[tex]y = 5x - 10 + 15[/tex]

The required equation is

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

Answer:

#1: No #2: Yes #3: Yes #4: Yes

Unit conversion is a way of converting some common units into another without changing their real value. Only b and c are the correct statements.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

a.) 2,000 km = 2m

No, since 1 km is equal to 1000 m, therefore, 2 m will not be equal to 2,000 km.

b.) 2,000 mm= 2m

Yes, since 1 m is equal to 1000 mm, therefore, 2000 mm will be equal to 2 meters.

c.) 20 cm= 200 mm

Yes, since 1 cm is equal to 10 mm, therefore, the 20 cm will have 200 mm.

d.) 20m = 2,000 cm

No, since 1 meter is equal to 100 cm, therefore, 20 m will not be equal to 2,000 cm.

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Answer:

9.42 feet

Step-by-step explanation:

The distance around the edge of a circle is called the circumference.  The formula for circumference is C = dπ   where d is the diameter.  We are given

d = 3, so we have C = 3π.  We are told to use 3.14 for pi, so we have

C = 3(3.14) = 9.42

Answer:

Step-by-step explanation:

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{b^n}=\left(\dfrac{a}{b}\right)^n\\=================\\A.\ 3^{x+1}=3^x\cdot 3\neq3^x\\\\B.\ 3\cdot3^{x-1}=3\cdot3^x\cdot3^{-1}=(3^1\cdot3^{-1})\cdot3^x=3^{1+(-1)}\cdot3^x=3^0\cdot3^x=1\cdot3^x=3^x\\\\C.\ \dfrac{18^x}{3}\neq3^x\\\\D.\ \left(\dfrac{18}{6}\right)^x=(3)^x=3^x\\\\E.\ x^3\neq3^x\\\\F.\ \dfrac{18^x}{6^x}=\left(\dfrac{18}{6}\right)^x=(3)^x=3^x[/tex]

Answer: -87

Step-by-step explanation: −27−42−18

➷ The formula for surface area of a cylinder is:

[tex]2\pi rh + 2\pi r^2[/tex]

The radius is half the diameter

radius = 8/2 = 4

Substitute the values in:

[tex]2\pi (4)(18) + 2\pi (4)^2[/tex]

Solve it:

surface area = [tex]176\pi[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

525.64 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula is S.A. =2[tex]\pi r^{2} + 2\pi rh[/tex]

write the equation out. *raduis is half of diameter, d=8. r=4)

2 x 3.14 x [tex]4^{2}[/tex] + 2 x 3.14 x 4 x 18 = S.A.

Solve

2 x 3.14 x 4^2 = 100.48

Rewrite

100.48 + 2 x 3.14 x 4 x 18 = S.A.

solve second halve

2 x 3.14 x 4 x 18 = 452.16

rewrite

100.48 + 425.16 = 525.64

525.64 [tex]cm^{2}[/tex]

Hope this helped! Please mark as brainliest! Thanks!

Answer:

(3, -6)

Step-by-step explanation:

The formula for reflecting across the Y axis is that the X axis value will become opposite, so the -3 becomes positive 3.

Answer:

(3, -6)  

Step-by-step explanation:

When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,

(-3, -6)⟶ (3, -6)

The image below shows the point before and after the reflection.

Answer:

soda = 35mg

coffee = 81mg

energy = 83mg

Step-by-step explanation:

coffee + energy + soda = 199

coffee = 11 + (2 * soda)

energy = (soda + coffee) - 33

(11 + (2 * soda)) + ((soda + (11 + (2 * soda))) - 33) + soda = 199

11 + 2s + s + 11 + 2s - 33 + s = 199

22 + 6s - 33 = 199

-11 + 6s = 199

6s = 210

s = 35

soda = 35mg

c  = 11 + 2s

c = 11 + 2(35)

c = 11 + 70

c = 81

coffee = 81mg

e = s + c - 33

e = (35) + (81) - 33

e = 116 - 33

e = 83

energy = 83mg

Final answer:

One serving of soda contains 35 mg of caffeine, one serving of coffee contains 81 mg of caffeine, and one serving of energy drink contains 83 mg of caffeine.

Explanation:

Let's solve this problem step by step:

To find the value of x, we can set up an equation:

Simplifying the equation:

Combine like terms:

Add 11 to both sides:

Divide both sides by 6:

Therefore, one serving of soda contains 35 mg of caffeine. Substituting this value into the previous equations:

Answer:

[tex]f^{-1}(x) = 6(4-x) = 24-6x[/tex]

Step-by-step explanation:

Let [tex]y=f(x)[/tex] and swap x and y:

[tex]x = 4 - \frac{y}{6}[/tex]

Then, rearranging for y:

[tex]x+\frac{y}{6} = 4[/tex]

[tex]\frac{y}{6}= 4-x[/tex]

[tex]y= 6(4-x) = 24-6x[/tex]

Final answer:

Explaining the inverse function of a given function.

Explanation:

Inverse function of f(x) = 4 - x/6:

Replace f(x) with y: y = 4 - x/6.

Swap x and y: x = 4 - y/6.

Solve for y: y = 24 - 6x.

Answer:

A

Step-by-step explanation:

2/3x-1=4

Add 1 to each side

2/3x = 5

Divide each side by 2/3

x = 7.5

Find the same value...

15/2 = 7.5

we just have to locate these coordinates on graph and see which one lies on line .

you will find option 4 lies on line so it's the one of the solution of line

Answer:

(--3,2)

The only (x,y) that is on the line is (-3,2)

the rest don't fit on the line.

Answer:

1.20

Step-by-step explanation:

you multiply 0.02 by 60 usually 120 but 2 decimal points so move the decimal  2 to the left

Answer:

8*x > 72

x > 72/8

x > 9

The number is any number greater than 9.

It could be 9.5, 10, 11, 12,....

Step-by-step explanation:

The mathematical expression representing the verbal expression given is 8n < 72

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, a verbal expression. eight times a number n less than 72,

We need to convert it in mathematical expression

So, the expression will be

8n < 72

Now, solving for n,

8n < 72

n < 9

Therefore, values of n below 9 is the solution of the inequality.

Hence, the mathematical expression representing the verbal expression given is 8n < 72

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Answer:

[tex]\boxed{\bold{2(3a + 4) = 6a + 8}}[/tex]

Step-by-step explanation:

Distributive Property: [tex]\bold{a(b+c) \ = \ (a*b)+(a*c)}[/tex]

2(3a + 4)

----------------------------------------

(2 * 3a) + (2 * 4)

(2 * 3a) = 6a

(2 * 4) = 8

-------------------------------

6a + 8

Answer:

[tex]\large\boxed{803.8\ cm^2}[/tex]

Step-by-step explanation:

The formula of a surface area of a sphere:

[tex]S.A.=4\pi R^2[/tex]

R - radius

We have R = 8 cm. Substitute:

[tex]S.A.=4\pi(8^2)=4\pi(64)=256\pi\ cm^2[/tex]

[tex]\pi\approx3.14[/tex]

Substitute:

[tex]S.A.\approx256(3.14)=803.84\ cm^2[/tex]

Answer:

csc^2(theta)

Step-by-step explanation:

1 / cot^2(theta) = tan^2(theta)

=============

sec(theta) = cos(theta)

therefore sec(theta)*cos(theta) = 1/cos(theta) * cos(theta) = 1

==========

tan^2(theta) + 1 = y

One of the fundamental theorems of trigonometry is

tan^2(theta) + 1 = csc^2(theta)

Subtract the sale price from the original price:

200 - 150 = 50.

Now divide the difference by the original price and then multiply that by 100:

50 / 200 = 0.25 x 100 = 25%

The discount is 25%

Answer:

83

Step-by-step explanation:

8 is one less than 3x3

Answer:

its D. 456 in

Step-by-step explanation:

if u multiply 10 x 10 then u get 100. that same square is there twice so if u add it u get 200. then the only one greater than 100 is 456.

Answer:

the answer is d 456^in2

Step-by-step explanation:

hope this helps

Answer:

9220

Step-by-step explanation:10^3 = 1000 then times it by 9.22 and you should have 9220

Answer:

9220

Step-by-step explanation:

9.22 x 10^4 would be 92200

9.22 x 10^3 would be 9220

9.22 x 10^2 would be 922

9.22 x 10^1 would be 9.22

Can you work out the pattern?. Also you can work this out on your calculator by pressing the standard form button in the bottom middle of your calculator.

Answer:

36 cubic feet

Step-by-step explanation:

1. know that the equation for volume is l*w*h

2. plug in all the information that is shown in the question. (9*4*1)

3. 9*4*1 is 36 so your answer is 36 cubic feet

Answer: 36 ft³

Step-by-step explanation:

You must apply the formula for calculate the volume of a rectangular prism, which is show below:

[tex]V=l*w*h[/tex]

Where l is the lenght, w is the width and h is the height.

Given the dimensions shown in the problem, you can substitute values into the formula shown above.

Therefore, you obtain that the volume of the rectangular prims is:

[tex]V=(9ft)(1ft)(4ft)\\V=36ft^3[/tex]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(5)

x² + (y - 4)² = 25 ← is in standard form

with centre = (h, k) = (0, 4) → A

(6)

here (h, k) = ( 9, - 5) and r = 1, hence

(x - 9)² + (y - (- 5))² = 1², that is

(x - 9)² + (y + 5)² = 1 ← equation of circle

Answer:

-1050

Step-by-step explanation:

I know the answer because descending means going down so 2100 is the big number and its negative to if you do -2100 divided by 2 then you will get -1050.

The equation to represent the submarine's elevation and time is elevation = 2100 - (rate of descent × 2).

To represent the submarine's elevation and time, we can use the equation:

elevation = starting altitude - (rate of descent ×  time)

Where:

In this case, the equation would be:

elevation = 2100 - (rate of descent × 2)

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El resultado es 0.0166666667

The given 3rd option is the viable answer.

Answer:

hello : (4, –2)

Step-by-step explanation:

because put : x = 4 and y = - 2  in the inequality    y+3 ≤ 2x  you have :

- 2 +3 ≤ 2(4)

1 ≤ 8 .... right

Answer:

It is true. It is a number value therefore it is true.

A term can be having a positive or negative value. Therefore -8 is also a term. Hence the given statement is true.

A term or phrase that is used to describe something or to express a thought, particularly in a certain language or field of study.

A term's value might be either positive or negative. Consequently, -8 is also a term.

As a result, the statement is accurate.

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Answer: OPTION B

Step-by-step explanation:

Let's call:

c: the number of cars.

m: the number of motorcycles.

Based on the given information, you can set up the following system of equations:

[tex]\left \{ {{c+m=38} \atop {4c+2m=104}} \right.[/tex]

You can solve it by the Elimination method:

- Multiply the first equation by -4.

- Add both equations to cancel out the variable "c".

- Solve for "m":

[tex]\left \{ {(-4)(c+m)=38(-4)} \atop {4c+2m=104}} \right.\\\\\left \{ {-4c-4m=-152} \atop {4c+2m=104}} \right.\\-------\\-2m=-48\\m=24[/tex]

(24 motorcycles)

 - Substitute m=24 into any of the original equations ans solve for "c". Then:

[tex]c+24=38\\c=38-24\\c=14[/tex]

(14 cars)

The answer is:

Option B.

[tex]Cars=14\\Motorcycles=24[/tex]

We know that the total of tires of all the vehicles was 104, and there were 38 vehicles with 4 tires and motorcyles with 2 tires, so, we can calculate how many cars and motorcyles participated in the ride using the following equation:

Let x be the cars and y be the motorcyles, so:

[tex]x+y=38[/tex]

and,

[tex]4x+2y=104[/tex]

So, isolating x in terms of y from the first equation, we have:

[tex]x=38-y[/tex]

Then, substituting "x" into the second equation we have:

[tex]4(38-y)+2y=104\\152-4y+2y=104\\152-2y=104\\2y=152-104\\2y=48\\y=\frac{48}{2}=24[/tex]

Now, substituting "y" into the first equation, we have:

[tex]x+24=38[/tex]

[tex]x=38-24=14[/tex]

So, there were a total of 14 cars and 24 motorcycles in the ride.

Have a nice day!

Answer:

CE = 12

Step-by-step explanation:

ΔCDB and ΔEAB are similar, hence the ratios of corresponding sides are equal

We require to find the length of BC to complete CE

[tex]\frac{BC}{BE}[/tex] = [tex]\frac{DB}{AB}[/tex], substitute values

[tex]\frac{BC}{8}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

10BC = 40 ( divide both sides by 10 )

BC = 4

CE = CB + BE =4 + 8 = 12

Answer:

The one on the bottom CANNOT be represented by the equation.

Step-by-step explanation:

For the equation in the problem there has to be a 4x, meaning the cost per case multiplied times the about of them (x). Then there has to be a +7 somewhere in the equation for shipping. The two on the top fit both of those descriptions.

Mark Brainliest plz!

Answer:

a=[tex]2\frac{3}{16}[/tex]

Step-by-step explanation:

formulas:

a= b x h x [tex]\frac{1}{2}[/tex]

or           (both equations get the same answers)

a= b x h ÷ 2

imma stick with the second one kuz i usually use that one but ur preference.

so,

base(b) = [tex]2\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]

height(h) = [tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]

now fill it in to the equation:

a=b x h x [tex]\frac{1}{2}[/tex]                        a= b x h ÷ 2

a=[tex]\frac{5}{2}[/tex] x [tex]\frac{7}{4}[/tex] x [tex]\frac{1}{2}[/tex]                         a=[tex]\frac{5}{2}[/tex] x [tex]\frac{7}{4}[/tex] ÷ 2

a=[tex]\frac{35}{16}[/tex]                                   a=[tex]\frac{35}{16}[/tex] ÷ 2

a=[tex]2\frac{3}{16}[/tex]                                   a=[tex]\frac{35}{8}[/tex] ÷ 2

                                          a=[tex]\frac{35}{16}[/tex]  

                                           a=[tex]2\frac{3}{16}[/tex]

o well i did both lol

now you ca compare the two equations now  :]

plz give brainliesttttt

Final answer:

The area of a triangular poster with a base of 2 1/2 feet and a height of 1 3/4 feet is calculated using the formula A = 1/2 × base × height, resulting in an area of 2.1875 square feet.

Explanation:

To find the area of a triangle, we use the formula A = ½ × base × height. Given that the base of the triangle is 2 1/2 feet (which is 2.5 feet when converted to a decimal) and the height is 1 3/4 feet (which is 1.75 feet in decimal), we can calculate the area as follows:

A = ½ × base × height

A = ½ × 2.5 ft × 1.75 ft

A = ½ × 4.375 ft²

A = 2.1875 ft²

Therefore, the area of the poster is 2.1875 square feet.