Help please the image is attached!

The value of h(f(x)) is x which is the C option in the question.

It is given in the question that h(x) is the inverse of f(x).

We have to find the value of h(f(x)).

If h(x) is the inverse of f(x), we can write is as:-

[tex]f^{-1}(x)=h(x)[/tex]

Hence,

h(f(x)) = [tex]f^{-1}(f(x))=(f^{-1}f)(x) = x[/tex]

Hence, the value of h(f(x)) is x.

Inverse function

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

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Answer:

15kg of oranges.

Step-by-step explanation:

cost of 3kg of apples = cost of 5kg of oranges

cost of 9kg of apples which is (3 x 3) = cost of (5 x 3) kg of oranges

= cost of 15kg of oranges.

The function rule for the height of the eagle after s seconds is h(s) = 1284 - 88s.

The height of eagle after 7 seconds is 668 feet.

Given that:-

Height of nest = 1284 feet

Speed of the bald eagle = 88 feet/second

Hence, we can write, after s seconds,

Height of eagle after s seconds =  height of the nest - Time (in seconds) * Speed of the eagle

Hence,

h(s) = 1284 - s*88

h(s) = 1284 - 88s.

From the above equation, we can find the height of the eagle after 7 seconds.

h(7) = 1284 - 88*7 = 1284 - 616 = 668 feet.

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Answer:

72 jars per minute

Hope this helps!

Step-by-step explanation:

432/6 is 72.

30 units

Since from point 0 to V, there are 25 units of distance

and from 0 to T, there are 5 units of distance

From T to V, 25 + 5 = 30 units

NB: Since we are only considering the length the - is not taken into account

Answer:

[tex] \dfrac{3a^2 + 3b}{a^2 - b^2} [/tex]

Step-by-step explanation:

You can try factoring the numerator and denominator.

[tex] \dfrac{3a^2 + 3b}{a^2 - b^2} = \dfrac{3(a^2 + b)}{(a + b)(a - b)} [/tex]

Nothing cancels out, so the expression is simplified as given.

Answer: [tex] \dfrac{3a^2 + 3b}{a^2 - b^2} [/tex]

trapezoid is moved through the

translation (x+3, y-2)

So we add 3 to x and then subtrack -2 to y

The number 67 must be added to form the complete square ( x - 10)² to solve the quadratic equation x² - 20x + 33.

Consider the quadratic equation,

x² - 20x + 33 = 0

Comparing the equation with general form of quadratic equation ax² + bx + c = 0

We have,

a = 1, b = - 20, and c = 33

x² - 20 x +33 =0

x² - 2 × 10 x + ( 10 )² - ( 10 )² + 33 =0

By using the identity ( a - b )² = a² - 2ab + b²

( x - 10)² -100 +33 =0

( x - 10)² - 67 =0

( x - 10)² = 67

Hence, the complete square:

( x - 10 )² = 67

x - 10  = ± √67

x - 10 = ± 8.1853

So,

x - 10 = 8.2

x = 10 + 8.2

x = 18.2

And;

x - 10 = - 8.2

x = 10 - 8.2 = 1.8

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If Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours, then he must receive $60 in tips, to earn a total of $229 in that time period.

As per the question statement, Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours.

We are required to calculate the amount of tips Nathan must receive to earn a total of $229, working for 26 hours.

To solve this question, we will first calculate the amount Nathan can earn from his regular salary rate, working for 26 hours, and then subtract that amount from $229 which he earned as his salary from the restaurant plus his tips while working for those 26 hours.

Therefore, Nathan will earn $(26 * 6.50) = $169 in his regular salary from the restaurant working for 26 hours.

But since Nathan earned a total of $229 working at the restaurant for the same 26 hours, the extra money over his salary must be the amount he earned in tips.

Therefore, Nathan received $(229 - 169) = $60 in tips, to earn a total of $229 working for 26 hours at the restaurant.

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Depreciation expense is  $20,121  in equation .

What is Depreciation expense?

Additional to retained earnings                =  5,900

Add : dividends paid                                  =  2,040

Net income                                                 = $7940

Tax                                                              =  22%

Before tax income 97940 -/( 1 - 0.22)       =  $10179.48

Add : Interest expense                              =   $4600

operating income                                      =                            $14,779.48      

Sales                                                            =  $66,000    

Less : costs                                                = $31,100

Gross profit                                                  =                             $34,900

Depreciation expense                                =                              $20,121

(34,900 - 14,779.48)

Depreciation expense is    $20,121 .

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Answer: 4902.8

Step-by-step explanation: take 8892 subtract 18% from it then do that again with the number you got from subtracting 18% from 8892 and so on and so fourth just do it one more time and you get 4902.76 which now you round it to the nearest tenth and that equals 4902.8.

The   ratio of the deposit Emma paid  to the total of the 18 equal payments in its simplest form is 2/3

What is total cost of the van?

The total cost of the van is the its cost plus the VAT of 20%, which is determined as the 20% of the cost, as computed below:

VAT on the cost of van=20%*cost of van

cost of van=£23500

VAT on the cost of van=20%*£23500

VAT on the cost of van=£4,700

total cost=£23500+£4,700

total cost=£28,200

sum of 18 monthly payments=18*£940

sum of 18 monthly payments=£16,920

deposit=total cost-sum of 18 monthly payments

deposit=£28,200-£16,920

deposit=£11,280

deposit as a ratio of monthly payment=11280/16,920

divide both by 5640

deposit as a ratio of monthly payment=2/3

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Answer:

51°

Step-by-step explanation:

The height of the tree is 15 feet. Option C

Proportion can simply be defined as an arithmetic comparison between two quantities, numbers or elements.

It is also described as an equation where two given ratios are made equal or equivalent to each other.

From the information given, we have that;

To determine the height of the tree 'x', we have;

If 5 feet = 8 feet long shadow

Then x feet = 24 feet long

cross multiply

8 × x =  24 × 5

Multiply through

8x = 120

Divide both sides by 8, we have;

x = 120/8

x = 15 feet

Hence, the height is 15 feet

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The unknown angles of the diagram is as follows;

The missing angles of the diagram can be found as follows:

The sum of angles in a triangle is 180 degrees.

Therefore,

32 + 128 + b = 180

160 + b = 180

b = 180 - 160

b = 20°

Therefore,

a = 32°(alternate angles)

Alternate angles are congruent.

180 - a - b = c (sum of angles on a straight line)

180 - 32 - 20 = c

c = 180 - 32 - 20

c = 128°

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The ordered pairs that are on the graph of the equation 4y - 6x = 12 include the following:

A. (-4, −3)

C. (0, -2)

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane of a graph.

Next, we would test the ordered pairs to determine which are on the graph of the given equation as follows;

For ordered pair (-4, −3), we have:

4y - 6x = 12

4(-3) - 6(-4) = 12

-12 + 24 = 12

12 = 12 (True).

For ordered pair (-1, 1.5), we have:

4y - 6x = 12

4(-1) - 6(1.5) = 12

-4 - 9 = 12

-13 = 12 (False).

For ordered pair (0, -2), we have:

4y - 6x = 12

4(0) - 6(-2) = 12

0 + 12 = 12

12 = 12 (True).

For ordered pair (3, -4), we have:

4y - 6x = 12

4(3) - 6(-4) = 12

12 + 24 = 12

36 = 12 (False).

For ordered pair (0, 3), we have:

4y - 6x = 12

4(0) - 6(3) = 12

0 + 18 = 12

18 = 12 (False).

For ordered pair (6, 4), we have:

4y - 6x = 12

4(6) - 6(4) = 12

24 - 24 = 12

0 = 12 (False).

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Complete Question:

Select all the points that are on the graph of the equation 4y - 6x = 12. Show your work.

A. (-4, −3)

B. (-1, 1.5)

C. (0, -2)

D. (3, -4)

E. (0, 3)

F. (6, 4)

We need to determine which of the given inequalities can be used to determine how long you must walk (w) and run (r) in order to cover more than 8 miles.

We know that you can walk at a rate of 4 mi/h, and run at a rate of 6mi/h.

Thus, if you walk for w hours, you will walk a distance d₁, in miles, given by:

Also, if you run r hours, you will run a distance d₂, in miles, given by:

Now, notice that the total distance is the sum of d₁ and d₂. And the total distance, in miles, must be greater than 8.

We represent 'greater than' using the symbol '>':

Therefore, the correct option is:

QUESTION A

To find the cost of making 300 minutes of calls, we can trace the graph from where the x-axis is 300 to the graph and then get the value on the y-axis. This is shown below:

Therefore, the cost of the plans are:

Therefore, PLAN B costs less.

The difference between the two plans will be:

Therefore, Plan B costs $4 less than Plan A.

QUESTION B

Both plans cost the same at the point where the two graphs intercept. Checking the graph, this occurs when:

Therefore, the number of minutes that both plans cost the same is 250 MINUTES.

Plan B has a constant price of $20, regardless of the number of minutes used. However, Plan A is variable. The cost of Plan A only exceeds $20 after 250 minutes.

Therefore, before this time, PLAN B costs more.

The graphs which show functions with direct variation include the following:

B. A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

C. A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

A graph is a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, the graph of any proportional relationship (direct variation) is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.

In conclusion, the graphs representing direct variation are shown in the image attached below.

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Complete Question:

Which graphs show functions with direct variation? Select three options.

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

Answer: 3

Step-by-step explanation: First, solve with the parenthesis. Next, solve the square brackets.  Then, solve the quote brackets. And finally, solve the them after solving the brackets.

Answer:

Step-by-step explanation:

17-[4[-1(-3)2]

17-[4+3(2)]

17-[4+6]
17-10

7

Answer:

(6, 8 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (10, 10 ) and (x₂, y₂ ) = (2, 6 ) , then

midpoint = ( [tex]\frac{10+2}{2}[/tex] , [tex]\frac{10+6}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex] , [tex]\frac{16}{2}[/tex] ) = (6, 8 )

The solution to the inequality expression given as 2 > 8 - 43h is h > 6/43

The inequality expression is given as

2 > 8 - 43h

Subtract 8 from both sides of the inequality expression

So, we have the following expression

2 - 8 > 8 - 8 - 43h

Evaluate the difference in the above expression

So, we have the following expression

-6 > - 43h

Divide both sides of the inequality by -43

So, we have

-6/-43 > - 43h/-43

Evaluate the quotient

6/43 < h

Rewrite as

h > 6/43

Hence, the value of the inequality is h > 6/43

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Answer:

2/7

Step-by-step explanation:

First off you would want to get rid of the negative because a negative times a negative equal a positive making the -2/3 and -6/7 a positive then you would want to cancel out the greatest common factor of 2 making the equation now 1/3 x 6/7 then you'll want to cancel out the greatest common factor of 3 by dividing 3 by 3 and 6 by 3 making it 1/1 x 2/7 and then after you multiply you get your answer of 2/7

Recall that the angles can be named:

1) The same as the vertex.

2) With 3 points being the middle point the vertex.

3) A symbol is placed at the angle.

Answer:

1) NML, M, and 3.

2) HGF, G, and 9.