What is the domain and range .

Answer:

  (a) f^-1(x) = 1/4x -3

  (b) f is not the inverse of g

Step-by-step explanation:

The inverse of function f can be found by solving ...

  x = f(y)

  x = 4y +12

  x -12 = 4y

  x/4 -3 = y

The inverse of function f is ...

  f^-1(x) = 1/4x -3

__

g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.

_____

Additional comment

Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.

Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.

Based on the equation that is given, the total cost for the group to attend a play will be 2842.

From the information given, the cost in dollars for a group to attend a play is represented by 72p + 250.

Therefore, when the number of people are 36, the cost will be:

= 72p + 250

= 72(36) + 250

= 2592 + 250

= 2842

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Answer:

Step-by-step explanation:

Conclusion:

Therefore, n = 20.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer: the answer is 5^6

Step-by-step explanation:

When you are multiplying exponents with the same base you add the exponents so 3+3=6

The correct statement is  for every 8 vehicles sold, 1 truck was sold.​

Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.

In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every  8 cars sold 1 truck are sold.

A similar question was answered here: brainly.com/question/411732

Answer:  Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

Step-by-step explanation: pls give brainlist

Answer:

50 per hour

Step-by-step explanation:

Answer:

[tex]c = 0.35 x + 24[/tex]

Step-by-step explanation:

First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:

cost = 35¢ (number of miles) + $24 (starting fee)

We can also write this like this:

[tex]c = 0.35x + 24[/tex]

If you want to test this equation, put in a value for the x variable, like so:

Value: 25 miles

[tex]c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75[/tex]

For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.

Step-by-step explanation:

the formula for finding curved surface area of the cone is is pi ×r ×l

Answer:

try to use automath, it really helps

Answer:

y=49/9

Step-by-step explanation:

Distribute 3 with 3y and -5

3 times 3y is 9y

3 times -5 is -15

So the equation now looks like this:

9y-15=34

Add 15 on both sides:

9y=49

Divide 9 on both sides

So y=49/9

Since there is no common value to divide by y is 49/9

If you want the decimal version it is 5.44=> (=> meaning continuing forever)

Hope this helps!

Answer:

x = y1 x x1/ y2 x2

Step-by-step explanation:

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 3'.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

−3(−3x−7)=48

Divide both sides by −3.

−3x−7=   48

​ Divide 48 by −3 to get −16.

−3x−7=−16

Add 7 to both sides.

−3x=−16+7

Add −16 and 7 to get −9.

−3x=−9

Divide both sides by −3.

x=  −3 −9

​ Divide −9 by −3 to get 3.

x=3

Step-by-step explanation:

Answer:

Number of baskets with 12 pieces of fruit: 15

Number of baskets with 15 pieces of fruit: 45

Step-by-step explanation:

25% x 60 = 0.25 x 60 = 15

75% x 60 = 0.75 x 60 = 45

The complete model for the given question is;

Number of fruit baskets that contain 12 fruits = 15 baskets

Number of fruit baskets that contain 15 fruits = 45 baskets

We are told that he bought 60 fruit baskets.

Percentage of the fruit baskets that have 12 pieces of fruit = 25%

Percentage of the fruit baskets that have 15 pieces of fruit = 75%

Thus;

Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets

Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets

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Answer:

0.55=c

Step-by-step explanation:

0.55(2)=c

1.10=c

The total cost is $1.10

Answer:

Step-by-step explanation:

The interest and amount to be paid by Tom after stipulated time is 432; 1632.

Principal=Rs1200

Rate=12%

Time=3year

Interest:

Interest=  Principal ×Rate ×Time/100

Interest=  1200×12×3/100

Interest​=Rs432

Amount:

Amount=1200+432

Amount=1632

Inconclusion the interest and amount to be paid by Tom after stipulated time is 432; 1632.

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Answer:

1) g = -8 (one solution)

2) b = 0 (infinitely many solutions)

3) w = 5/6 (one solution)

4) c = 0 (infinitely many solutions)

Step-by-step explanation:

1) 1/2g -4 = 2g - 1/2g + 4

1/2g -2g +1/2 g = 8

-g = 8

2) 5.3-5.3 = 2.1b + b - 3.1b

0=0

3) 3/4w+ 3/4w = 10/4 - 5/4

3/2w = 5/4

w = (5/4) / (3/2)

w = 5/6

4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5

0 = 0

Answer:

Option D is correct.

Step-by-step explanation:

We can tell that

Now, let's simplify.

=> [tex]4x + 2 + \frac{4x-4}{2} = 180[/tex]

=> [tex]4x + 2 + 2x-2 = 180[/tex]

=> [tex]4x + 2x = 180[/tex]

=> [tex]6x = 180[/tex]

=> [tex]x = 30[/tex]

Therefore, Option D is correct.

Hoped this helped.

I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.

Answer:

The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16

Step-by-step explanation:

Answer:

good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer

The son solved 40 problems correctly out of the 60 problems he attempted.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's denote the number of problems the son solved correctly by "x".

According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.

Now,

Total earnings = 1 euro (x) - 0.5 euros (60 - x)

Simplifying this expression.

Total earnings = 1.5x - 30

We are given that the son won 30 euros in total, so we can set up the equation:

30 = 1.5x - 30

Solving for x.

1.5x = 60

x = 40

Therefore,

The son solved 40 problems correctly out of the 60 problems he attempted.

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The complete question.

A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

Answer:

2n + 9 = - 25

Step-by-step explanation:

let the number be n then twice the number is 2n

The sum of 2n and 9 is 2n + 9

the result is - 25 , that is

2n + 9 = - 25

Answer:

Step-by-step explanation:

The sum of twice a number and 9 is -25."

2x + 9 = -25

2x = -34

x = -17

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

check

2 * (-17) + 9 = -25

-25 = -25

the answer is good