Find the missing information for both parts

Composite functions are functions of functions. The needed composite function for given context is: [tex]P(J(y)) = \dfrac{2}{3}J(y) - 2[/tex]

Function of function, as the name suggests, are functions applied over functions themselves. This is also called function composition.

We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on first input is called function of functions. The resultant function which maps the input x to the final output is called function of function.

If first function is g( and the other function is f, then we can write the resultant function of function as  [tex](f\circ g)(x)[/tex]input to first function.

Thus, we have;

[tex](f\circ g)(x) = f(g(x))[/tex]

For the given case, it is given that:

To evaluate how many paintings Jojo completes in a year, we need [tex]P(J(y))[/tex]  (since, we need number of paintings and input is year, so we convert year to number of weeks by function J, and then give the output to P function to evaluate number of paintings)

Thus,

[tex]P(w) = \dfrac{2}{3}w - 2\\\\P(J(y)) = \dfrac{2}{3}J(y) - 2[/tex]

Thus,

The needed composite function for given context is: [tex]P(J(y)) = \dfrac{2}{3}J(y) - 2[/tex]

Learn more about composite functions here:

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Answer:

567

Step-by-step explanation:

I'll assume the equation is:

f(x) =x^2− 9   [assumes the "x2 is meant to be x^2]

f(x) =x^2− 9

f(24) = (24)^2 - 9

f(24) = 576 - 9

f(24) = 567

Composite functions are function of functions. The unit of measurement for the composite function s(W(h)) is number of seashells collected per hour.

Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.

Since we're given that:

s(t) = function approximating number of seashells collected per hour

W(h) = number of hours per week spent by Mario

Thus, W(h) outputs number of hour (the time t) and when we do s(W(h)), we give s the time t.

The function s then outputs the speed (the rate of number of seashell collected per hour)

Thus, output of s(W(h)) is the rate of number of seashells collected per hour.

Thus,

The unit of measurement for the composite function s(W(h)) is number of seashells collected per hour.

Learn more about composite functions here:

https://brainly.com/question/24780056

Answer:

the answer is seashells/week

Step-by-step explanation:

because you are trying to find s(W(h)) it starts with S right? so seashells would be on top, then what is the second one? it is W so then because W represents week and H represents hour. So the answer is seashells/week

Hi! I can help you with a smile! :)

Answer:

2(7x-1)

Hope it helps.

[tex]\rm{Stargazing}\bold{WithJoy:)}[/tex]

Answer:

  about 4.03 units

Step-by-step explanation:

The incircle of a triangle is tangent to each of the sides. The points of tangency from a given vertex are the same lengths. In a right triangle, the points of tangency from the right angle are equal in length to the radius of the incircle. These facts let us write an equation for the perimeter of the triangle in terms of the incircle radius and the side lengths:

  2(r) +2(a -r) +2(b-r) = a +b +c

  2a +2b -2r = a +b +c . . . . . simplify

  a +b -c = 2r . . . . . . . . . . . add 2r -a -b -c

  r = (a +b -c)/2 . . . . . radius of the incircle

For our triangle, with a=5, b=12, c=13, the radius is ...

  r = (5 +12 -13)/2 = 2

In our diagram, if point C is the origin, the coordinates of the incenter (D) are (2, 2). The circumcenter (E) is the midpoint of the hypotenuse, so will have coordinates (b/2, a/2) = (6, 2.5).

The distance formula can be used to find the distance between D and E:

  d = (√((6 -2)² +(2.5 -2)²) = √16.25

The distance between the incenter and circumcenter is √16.25 ≈ 4.0311.

_____

Additional comment

In the attached diagram, we used angle bisectors to locate the incenter. This was done before we realized how simple it was to calculate its location.

Answer: Hi I'm Jimin!

English: 5(x-2)

Step-by-step explanation:

Answer:

5(x-2)

Step-by-step explanation:

5x-10 turns into 5(x-2)

Answer:

y-intercept, where the graph crosses y-axiss is 0. that means in the equation: y = mx + b

b = 0

the m, is slope. looking at the graph you can see the points on the line are connect up 4 right 1. rise/run = slope = 4

y = 4x

Step-by-step explanation:

Step-by-step explanation:

S=vt

v=55kmh^-¹

55×1000

=_______ms^-¹

60×60

=15.2778ms^-¹

t=12 min 30s

=12×60+30

=750s

so, s(distance)=750×15.2778 m =11458.35 m

Answer:

f = 12

Step-by-step explanation:

Step 1: Multiply both sides by 3.

Step 2: Check if solution is correct.

Have a lovely rest of your day/night, and good luck with your assignments. ♡

Answer:

Step-by-step explanation:

625km divide by 25L =25

Hoped it helped u

Answer:

3(7)=21-8{90}6-8/7'

Step-by-step explanation:

Answer:

X = 28

Y = 14

Step-by-step explanation:

+++++++++++++++++++++++++++++++++++++

Answer:

  (a)  1232 m²

Step-by-step explanation:

The surface area is the total of the areas of the two triangular ends and the three rectangular faces.

Each triangle area is ...

  A = 1/2bh

  A = 1/2(24 m)(7 m) = 84 m²

The sum of the areas of the rectangular faces is ...

  A = LW . . . for each of the 3 faces

  A = (19 m)(24 m) +(19 m)(7 m) +(19 m)(25 m) = (19 m)(24 +7 +25 m)

  A = (19 m)(56 m) = 1064 m²

Then the total surface area is ...

  A = lateral area + base area

  A = 1064 m² + 2(84 m²) = 1232 m² . . . . total surface area

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When the intervals are in the form of (n, n+1), the value of greatest integer function is n, where n is an integer. For example, the greatest integer function of the interval [3,4) will be 3. The graph is not continuous. For instance, below is the graph of the function f(x) = ⌊ x ⌋.

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(/^_^/)

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Brainlilest me

Answer:

its the second one

Step-by-step explanation:

116 × 115

______

100

hope this helps

have a nice day <3

Answer:

is there any thing else in that question

Answer:

8)  Consistent and Dependent

    [tex]\boxed{\begin{aligned}3x-3y&=6\\-x+y&=-2\end{aligned}}[/tex]

9)  Consistent and Independent

    [tex]\boxed{\begin{aligned}x+y&=0\\-x+y&=-8\end{aligned}}[/tex]

10) Inconsistent

    [tex]\boxed{\begin{aligned}4x&+2y=6\\4y&=-8x+4\end{aligned}}[/tex]

11)  Solution: (3, 0)

12)  Solution: (-2, 1)

Step-by-step explanation:

[tex]\hrulefill[/tex]

The graph shows a single line, so the system is consistent and dependent.

Find the equation of the line by calculating its slope (m) and y-intercept (b), and then inputting these into the slope-intercept formula, y = mx + b.

The line passes through the points (0, -2) and (2, 0).

Input these points into the slope formula to calculate the slope of the line:

[tex]\textsf{Slope ($m$)}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-2)}{2-0}=\dfrac{2}{2}=1[/tex]

The y-intercept is b = -2.

Therefore, the slope-intercept equation of the line is:  

[tex]y=x-2[/tex]

Rearrange this by subtracting x from both sides:

[tex]-x+y=-2[/tex]

Therefore, the correct set of equations for the given system is:

[tex]\boxed{\begin{aligned}3x-3y&=6\\-x+y&=-2\end{aligned}}[/tex]

[tex]\hrulefill[/tex]

The graph shows two lines that intersect at a single point, so the system is consistent and independent.

One of the lines passes through the origin (0, 0).

The only set of equations where y = 0 when x = 0 is the set with the equation x + y = 0.

Therefore, the correct set of equations for the given system is:

[tex]\boxed{\begin{aligned}x+y&=0\\-x+y&=-8\end{aligned}}[/tex]

[tex]\hrulefill[/tex]

The graph shows two parallel lines, so the system is inconsistent .

Find the equation of one of the lines by calculating its slope (m) and y-intercept (b), and then inputting these into the slope-intercept formula, y = mx + b.

The first line passes through the points (0, 1) and (0.5, 0).

Input these points into the slope formula to calculate the slope of the line:

[tex]\textsf{Slope ($m$)}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-0}{0-0.5}=-2[/tex]

The y-intercept is b = 1.

Therefore, the slope-intercept equation of the line is:  

[tex]y=-2x+1[/tex]

Multiply all terms by 4:

[tex]4y=-8x+4[/tex]

Therefore, the correct set of equations for the given system is:

[tex]\boxed{\begin{aligned}4x&+2y=6\\4y&=-8x+4\end{aligned}}[/tex]

[tex]\hrulefill[/tex]

The solution to the graphed consistent and independent system is the point where the two lines intersect.

From observation of the given graph, the point of intersection of the two lines is (3, 0).

[tex]\hrulefill[/tex]

The solution to the graphed consistent and independent system is the point where the two lines intersect.

From observation of the given graph, the point of intersection of the two lines is (-2, 1).

Answer:

The answer is choice B

Step-by-step explanation:

So basically what's going on is that to be a function, the ordered pairs must not have the same x values. With that, it is pretty obvious choice B is correct. Please give brainliest would appreciae thanks!

Answer:

Option B

Step-by-step explanation:

As per definition of function

A relation is called to be a function if every domain of the relation has an unique range

or

where x is domain and y is range

Here

Hence it's a function

Answer:

101/102 x 564, 57/57 x 564, 29/27 x 564

Step-by-step explanation:

101/102 is less than 1, 57/57 is equal to 1, and 29/27 is slightly greater than 1.

Hope this helps :)

Answer:

the last one that

Step-by-step explanation:

Answer:

4.4 and almost a half

Step-by-step explanation:

Because he can't but 5 because if he bought 5 it would be 6$

But 4 he can if you add taxes.

1.20 for 1

2.40 for 2

3.60 for 3

4.80 for 4

19.3

i think its either 19.3 or 19.36

Answer:

30

Step-by-step explanation:

There is no remainder. You can do 84/28, which is 3, but since it is tens place, 30. You can not divide 0 to 28, so it is 0. 30+0=30

Answer:

840 28 = 30

30 = 300 to the nearest tenth

30 = 30 to the nearest hundredth

30 = 30 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

840 divide by half plus 20

Step-by-step explanation:

Answer:

1.6 - 1.4 = 0.2

0.2 / 1.4 = 0.14 = 14%

Step-by-step explanation:

Answer:

105.8 for two

Step-by-step explanation:

use a percentage calculator it gives you all the steps to do it

Answer:

According to the given Attachment

we know sum of all angles in a triangle is 180° .

On substituting the given value we obtain

➥ x + 61° + 70° + 61° = 180°

➥ x + 192° = 180°

➥ x = 180° - 192°

➥ x = -12°

So, the value of x is -12°

Step-by-step explanation:

[tex]x + 61 + 70 + 61 = 180(sum \: of \\ \: triangle) \\ \\ x + 192 = 180 \\ \\ x = 180 - 192 \\ \\ x = - 12[/tex]

# be careful#

Answer:

B)  P' (-4, -4) and Q' (-1, -2)

Step-by-step explanation:

From inspection of the graph:

P = (-4, 4)

Q = (-1 ,2)

If the line PQ is reflected across the x-axis, then the x-coordinates of the points do not change, and the y-coordinates of the points become negative.  

Therefore,

P' = (-4, -4)

Q' = (-1, -2)

Reflected over x axis so x co-ordinates remains constant.

The line is present in Quadrant 2 so it will be shifted to quadrant 3.

So the rule is (x,-y)

The co-ordinates are

Answer: 130

Step-by-step explanation:
A = pq/2

P = 26

Q = 10

26*10 = 260

260/2 = 130

Hope this helps!!