Find the inverse of the function f(x) = 2x - 4.

Answer:

B

Step-by-step explanation:

Answer:

Proved

Step-by-step explanation:

Solving (a):

Let the numbers be: [tex]x, x + 1, x + 2.[/tex]

Their sum is:

[tex]Sum = x + x + 1 + x + 2[/tex]

Collect Like Terms

[tex]Sum = x + x + x + 1 + 2[/tex]

[tex]Sum = 3x + 3[/tex]

Divide sum by 3.

[tex]Result = \frac{Sum}{3}[/tex]

[tex]Result = \frac{3x+3}{3}[/tex]

[tex]Result = \frac{3(x+1)}{3}[/tex]

[tex]Result = x + 1[/tex]

Hence, this is true because there is no fractional part after the division

Solving (b):

Let the numbers be: [tex]x, x + 1, x + 2,x+3,x+4[/tex]

Their sum is:

[tex]Sum = x + x + 1 + x + 2+x + 3 + x + 4[/tex]

Collect Like Terms

[tex]Sum = x + x + x + x + x+1 + 2 + 3 + 4[/tex]

[tex]Sum = 5x+10[/tex]

Divide sum by 5.

[tex]Result = \frac{5x + 10}{5}[/tex]

[tex]Result = \frac{5(x + 2)}{5}[/tex]

[tex]Result = x + 2[/tex]

Hence, this is true because there is no fractional part after the division

Solving (c):

Let the numbers be: [tex]x, x + 1, x + 2,x+3[/tex]

Their sum is:

[tex]Sum = x + x + 1 + x + 2+x + 3[/tex]

Collect Like Terms

[tex]Sum = x + x + x + x + 1 + 2 + 3[/tex]

[tex]Sum = 4x+6[/tex]

Divide sum by 4.

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

Split

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

[tex]Result = x + 1.5[/tex]

The 1.5 means that the sum can not be divisible by 4

My answer is 1.192 I hope this helps u

Answer:

9.622318872565011

Step-by-step explanation:

The square root of 2.4 is a very long decimal, but here it is: 1.549193338482967

And if you divide it by the reciprocal of 3, (which is 1/3) it would basically be multiplying by 3. So:

1.549193338482967 x 3= 4.6475800154489

Finally, divide it by 0.483:

9.622318872565011

Tip: you should use a calculator on questions like these.

Answer:

C

Step-by-step explanation:

First we need to find out y.

5y + 45 = 180 (angles on straight line)

y = 27

5y = 135

Then we could apply the angle sum of a pentagon to find out z.

90 + 5y + z + 82 + 135 = 180(5-2)

442 + z = 540

z = 98 i.e. C

Answer:

59

Step-by-step explanation:

62+59= 121

180-121= 59

Answer:

m<1 = 121

Step-by-step explanation:

59 + 62 = 121

180 - 121 = 59

180 - 59 = 121

Answer:

[tex]y = 4x + 6[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Fee = \$6.00[/tex]

[tex]Rate = \$4.00[/tex]

Required

Derive the linear equation

Let the number of games be x.

Let the total cost be y

So, if the rate of 1 game is $4

Then x games costs 4x

The total cost (y) is then calculated as:

y = Initial Fee + Cost of x games

Substitute values for initial fee and cost of x games

[tex]y = 6 + 4x[/tex]

Rewrite as:

[tex]y = 4x + 6[/tex]

Answer:

Rob made 31, and Matt made 24

Step-by-step explanation:

55 in total

Rob made 7 more do 55 - 7 = 48

48 / 2 = 24

24 for Matt

24 +7 = 31

31 for rob

Answer:

24 cups of lemonade

Step-by-step explanation:

Rob made 7 more then Matt. You could say that Matt made 24 and Rob made 31 and it would be correct.

Answer: 200 seats

Step-by-step explanation:

There are 96 students and 34 adults in a concert. The total number of people present is therefore:

= 96 + 34

= 130 people

These 130 people only fill 65% of the seats. Assume the total number of seats is x:

130 = 65% * x

x = 130/65%

x = 200 seats

Answer:

Option C i.e. 2 and 9, constants have a fixed value is a correct option.

Step-by-step explanation:

In algebra, a constant is basically a fixed value.

Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.

For example: in ''2x+7=3'', 7 and 3 are constants.

In our case:

Given the equation

[tex]3x+2=9[/tex]

Therefore, 2 and 9 are constants, having a fixed value.

Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.

Answer:

3x=78+x-2

Step-by-step explanation:

Answer: 3x = 78 + x - 2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

i did it on edge

The shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

"It is a triangle in which one of the angle measures 90° "

"It is the longest side in the right triangle."

"In right triangle, a² + b² = c², where c is hypotenuse and a, b are other two sides of the right triangle."

"In right triangle for angle x, [tex]sin(x)=\frac{opposite~ side~ of~ angle~x}{hypotenuse}[/tex] "

For given question,

Consider the following figure.

In right triangle WXY, WX is 23 feet as a window screen is 23 feet above the ground.

WY represents the ladder.

that is the hypotenuse of right triangle WXY is the length of the ladder.

A ladder leans against a building and forms a 75 degree angle with the ground

⇒ ∠WYX = 75°

Consider the sine of ∠WYX .

[tex]\Rightarrow sin(75)=\frac{WX}{WY}\\\\ \Rightarrow 0.9659=\frac{23}{WY}\\\\ \Rightarrow WY=\frac{23}{0.9659}\\\\ \Rightarrow WY=23.81\\\\\Rightarrow WY\approx 24[/tex]

This means the hypotenuse WY is approximately 24 ft.

Therefore, the shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

Learn more about the hypotenuse here:

https://brainly.com/question/8587612

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Answer:

C

Step-by-step explanation:

I THINK THAT IS THE ANSWER.

Answer:

Radius????????????????

Ali = Y

Bha = 2Y

Cer = Y - 3

Then

Y + 2Y + Y-3 = 125

4Y - 3 = 125

4Y = 128

Ali = Y = 32

Bha = 2Y = 64

Cer = Y - 3 = 29

Hope it Helps :)

The ages of each person are,

⇒ Ali years = 32

⇒ Bhavana years = 64

⇒ Ceris years = 29

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Ali is y years old.

Bhavara is twice as old as Ali.

Ceris is 3 years younger than Ali.

And, The total of their ages is 125 years.

Now,

Since, The age of Ali = y

And, Bhavara is twice as old as Ali.

Hence, The age of Bhavara = 2y

And, Ceris is 3 years younger than Ali.

Hence, The age of Ceris = y - 3

Here, The total of their ages is 125 years.

Hence, We get;

⇒ y + 2y + y - 3 = 125

⇒ 4y - 3 = 125

⇒ 4y = 125 + 3

⇒ 4y = 128

⇒ y = 32

Thus, We get;

The age of Ali = 32 years

The age of Bhavara = 2y

                              = 2 × 32

                              = 64 years

The age of Ceris = y - 3

                          = 32 - 3

                          = 29 years

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

Number of regular packs sent = 13

Step-by-step explanation:

Let,

x be the number of regular packs shipped

y be the number of super packs shipped

According to given statement;

x+y=32     Eqn 1

4x+6y=166    Eqn 2

Multiplying Eqn 1 by 4

4(x+y=32)

4x+4y=128     Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=166-128

4x+6y-4x-4y=38

2y=38

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{38}{2}\\y=19[/tex]

Putting y=19 in Eqn 1

x+19=32

x=32-19

x= 13

Hence,

Number of regular packs sent = 13

[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]

[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]

[tex]54x - 162 = 60x + 60[/tex]

[tex] - 222 = 6x[/tex]

[tex]x = - 37[/tex]

I guess it's right.We learnt this way in Turkey.

what do you need help with?

Answer:

Y=.5x

Step-by-step explanation:

For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps

Answer:

a number divided by eight, plus four

Answer:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]b = blue[/tex]

[tex]y = yellow[/tex]

[tex]r = red[/tex]

Required

Represent as a matrix

For Sammy:

[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]

So, we have:

[tex]2b + 1y + 3r = 1500[/tex]

[tex]2b + y + 3r = 1500[/tex]

For Jamie:

[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]

So, we have:

[tex]1b + 2y + 2r = 1225[/tex]

[tex]b + 2y + 2r = 1225[/tex]

For Yvonne:

[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]

So, we have:

[tex]2b + 3y + 1r = 1200[/tex]

[tex]2b + 3y + r = 1200[/tex]

The system of equations are:

[tex]2b + y + 3r = 1500[/tex]

[tex]b + 2y + 2r = 1225[/tex]

[tex]2b + 3y + r = 1200[/tex]

To represent as a matrix, we have:

[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]  [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]

This gives:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

Answer:

x is greater than or equal to 42 inches (I can't do the smybol for it)

Step-by-step explanation:

Answer:

5 square root5

Step-by-step explanation:

Answer:

ifyiohdihw5;goish;5iyhw;lij5yp'owk5yjw6iyjhge5g.liejh.lijs4l5yjwe4il5jywo4j5

Step-by-step explanation:

;orihwuklh5tijw/i6yji5yjitkyn5kkt;elfojyjhk;tmghl

Answer:

r≈3.57in

Step-by-step explanation:

Answer:

3.33333333333+1/3=3.6666666666666666

Answer:

yup you're correct, nice job