Find the area of the shaded region
5x + 1
2x * 3
6

Answer:

Step-by-step explanation:

Given:

Find the composite function (g·h)(t):

Find (g·h)(-4 + t):

The given information is,

→ g(t) = t + 5

→ h(t) = 3t - 2

Now we have to,

find the composite function (g•h)(t),

→ (g•h)(t)

→ g(h(t))

→ (3t - 2) + 5

→ 3t + 3

Let's find the (g•h)(-4 + t):

→ (g•h)(-4 + t)

→ g(h(-4 + t))

→ 3(-4 + t) + 3

→ -12 + 3t + 3

→ 3t - 9

Hence, the value is 3t - 9.

     We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.

Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.

It's given in the question,

Since, 1 minute = [tex]\frac{1}{60}[/tex] hours

Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]

                                                                      = 90×60

                                                                      = 5400 words per hour

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= [tex]5400\times x[/tex]

Therefore, [tex]5400\times x =2.6\times 10^5[/tex]

[tex]5400x=260000[/tex]

[tex]x=\frac{260000}{5400}[/tex]

[tex]x=48.15[/tex] hours

               Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.

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Answer:

9+x = 2y+14

Step-by-step explanation:

It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14

Answer:

y = -2

Step-by-step explanation:

3(y-2)=2y-8

3y - 6 = 2y - 8

y - 6 = -8

y = -2

Answer:

Step-by-step explanation:

See the picture below

Answer:

answer is 6

Step-by-step explanation:

m^2 - 4m + 2

-2(2) - 4(-2) + 2

-4 + 8 + 2

-4 + 10

6

All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.

The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.

There are two methods to represent the set and its elements that are:

in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,

so the set notation would be :

= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}

The listing method:  {2, 4, 8, 16, 32,64, 128, 256}\

Thus, the above mention set is all the elements of the set.

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Answer:

44

Step-by-step explanation:

Let S = strawberry count

Chocolate = 1/4 * 80 = 20

Vanilla = 1/5 * 80 = 16

Total = C + V + S

80 = 20 + 16 + S

80 - 20 - 16 = S = 44

9514 1404 393

Answer:

  a) J(K(x)) = x; K(J(x)) = x; functions are inverses

  b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses

  c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4

Step-by-step explanation:

a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.

  J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses

  K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses

__

b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses

  g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses

__

c) To find the inverse function for y = f(x), solve x = f(y).

The inverse of f(x) = 4 -x is ...

  x = f(y) = 4 -y

  y = 4 -x . . . . . add y-x to both sides

  f^-1(x) = 4 -x

and for g(x) = x -4, the inverse is ...

  x = g(y) = y -4

  x +4 = y

  g^-1(x) = x +4

Answer:

13%

Step-by-step explanation:

Answer:

= 2.8

Step-by-step explanation:

8.3 - 5.5 = 2.8

= 2.8

Answer:

$1,856.25

Explanation:

To find the square yards, multiply length and width

7.5 * 5 = 37.5

Then, since each square yard costs $49.50, multiply the square yards and the cost

37.5 * 49.50 = 1,856.25

Thus the answer is $1,856.25

The carpet for the room will cost $1,856.25.

This is the product of the unit cost per square yard multiplied by the area of the room.

The area of the room is = 37.5 square yards (Length x Width)

Length of the room = 7.5 yards

Width of the room = 5 yards

Therefore, the total area of the room = 37.5 square yards (7.5 x 5)

Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).

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Answer:

$9.20

Step-by-step explanation:

you divide 46 by 5 and you get 9.20

Answer:

9.50

Step-by-step explanation:

$46 divided by 5 which equals $9.50

Answer:

9.00002 and 0.009 igs I am trying my best to understand lol

Answer:

3

Step-by-step explanation:

apply the BODMAS method

Here, we need to find the monthly and the weekly growth rate

The monthly growth rate is 99.33 ounces and the weekly growth rate is 22.9 ounces

Weight at birth = 8 ounces

Weight at one year =75 ounces

1 pound = 16 ounces

75 pounds = 1200 ounces

Additional weight after birth = Weight at one year - Weight at birth

= 1200 ounces - 8 ounces

= 1,192 ounces

There are 12 months in a year

Growth rate per month = Additional weight after birth / 12

= 1,192 / 12

= 99.33 ounces per month

There are 52 weeks in a year

Growth rate per week = Additional weight after birth / 52

= 1,192 / 52

= 22.9 ounces per week

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    To solve this problem form the system of equations first, then solve them to find the values of the variables.

  Nolan bought 2 apples and 10 bananas.

It's given that,

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

               Therefore, Nolan bought 2 apples and 10 bananas.

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Answer:

[tex]2 {x}^{2} - 25 = 73 \\ 2 {x}^{2} = 73 + 25 \\ 2 {x}^{2} = 98 \\ {x}^{2} = 98 \div 2 = 49 \\ {x}^{2} = 49 \\ x = \sqrt{49} = 7 \\ x = 7 \\ thank \: you[/tex]

Answer:

94,237,108?

Step-by-step explanation:

Step-by-step explanation:

let the no. be x

x+91+5623+911=6630

or,x+6625=6630

or,x=6630-6625

ans=5

Answer:

as all the other identical copies : 2

Answer:

A=124°

Step-by-step explanation:

5x - 5 = 180

5x = 185

x = 37

A=124

Step-by-step explanation:

sin (A + B) = 1 =sin 90

A+B=90 equation 1

cos (A - B) = 1=cos 0

A-B=0 equation 2

add 1 and 2

2A=90 A=45

2B=90 B=45

Answer:

D. none

Step-by-step explanation:

to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.

Answer:

Step-by-step explanation:

Original equation

    √x+6-4 = x

   Isolate

    √x+6 = 4+x

Raise both sides to the second power

    (√x+6)2 = (4+x)2

    After squaring

    x+6 = x2+8x+16

Rearranged equation

    x2  + 7x  + 10 = 0

    This equation has two rational roots:

      {x1, x2}={-2, -5}

Original equation, root isolated

    √x+6 = 4+x

    Plug in  -2 for  x  

     √(-2)+6 = 4+(-2)

     Simplify

     √4 = 2

     Solution checks !!

    Solution is:

     x =  -2

Original equation, root isolated

    √x+6 = 4+x

    Plug in  -5 for  x  

     √(-5)+6 = 4+(-5)

     Simplify

     √1 = -1

     Solution does not check

     1 ≠ -1  

¼(x - 2) + 4 = 12 / · 4

x - 2 + 16 = 48

x + 14 = 48

x = 48 - 14

x = 34

Answer:

-72

Step-by-step explanation:

Substitute -4 in the equation

h(-4) = -20 + 13(-4)

h(-4) = -20 + -52

h(-4) = -72

-72 is the final answer

Answer:

Step-by-step explanation:

You are giving away a lot of points. Usually 20 will attract our attention. I mean you put up 20 and we get 10. It's enough.

h(t) = - 20 + 13t

In this case t is going to be - 4

h(-4) = -20 + 13(-4)

h(-4) = -20 - 52

h(=4) = -72