A restaurant uses 4 pounds of potatoes for a party of 12 people if they are cooking potatoes for a party of 60 people,what should they do?

You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even. If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.

In all other cases, the function is "neither even nor odd".

Let's see what this looks like in action:

Determine algebraically whether f (x) = –3x2 + 4 is even, odd, or neither.

If I graph this, I will see that this is "symmetric about the y-axis"; in other words, whatever the graph is doing on one side of the y-axis is mirrored on the other side:

graph of y = –3x^2 + 4

This mirroring about the y-axis is a hallmark of even functions.

Also, I note that the exponents on all of the terms are even — the exponent on the constant term being zero: 4x0 = 4 × 1 = 4. These are helpful clues that strongly suggest to me that I've got an even function here.

But the question asks me to make the determination algebraically, which means that I need to do the algebra.

So I'll plug –x in for x, and simplify:

f (–x) = –3(–x)2 + 4

= –3(x2) + 4

= –3x2 + 4

I can see, by comparing the original function with my final result above, that I've got a match, which means that:

f (x) is even

Answer:

133.18522

Step-by-step explanation:

g=55.3188

r=77.86642

77.86642+55.3188

133.18522

Answer:

4x+1 = 3x-2

Step-by-step explanation:

4x+1=3x-2 subtract 3x and 1 from both sides

x= -3

Answer:

(5.6x10^4)x(1.3x10^8) = 7.28 x 10^12

Answer: =7.28x100010001

Step-by-step explanation: 5.6x104x(1.3x108)

Simplifies to:

7.28x100010001

Answer:

1/12 or 0.0833333333333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

it that going to come on cxc

Answer:

the answer is 7,348,000

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation:

An easy way of solving problems like these is to count the number of zeros in the equation, temporarily remove them, solve the new problem, and then add all the zeros that you removed before. In this case:

100 x 20 = ?

1 x 2 = ?  | 000

2 | 000

2,000

Here's another example:

300 x 5000 = ?

300 x 5000 = ?

3 x 5 = ?  | 00000

15 | 00000

1,500,000

Answer:

3/10 =a

Step-by-step explanation:

X*1/5×3/2 =X*a

X*3/10 =X*a

base are same so

3/10 =a

Answer:

The width is 3 ft

The length is  12 ft

Step-by-step explanation:

Let w = width

l = 4w

A = l*w

Replace length with 4w

A = 4w*w

36 = 4 w^2

Divide each side by 4

36/4 = 4w^2/4

9 = w^2

Take the square root of each side

sqrt(9) = sqrt(w)

3 =w

The width is 3 ft

The length is 4*3 = 12 ft

Answer:

polygon B is just polygon B flipped to the side

Step-by-step explanation:

polygon B is just polygon B flipped to the side

Answer:

-12

Step-by-step explanation:

if a=-2 and b=-5

(18-(-2×-5))+4(-5)

(18-(10))-20

8-20

-12

just gotta plug in the given into the equation

Answer:

person above me is correct

Step-by-step explanation

Answer:

Since there is one value of  y  for every value of  x  in  ( 1,−2) ,( 2,1),(3,6), (4,13 ) ,(5 ,22 ) , this relation is a function.

The relation is a function.

A relation is a function if it has only one y-value for each x-value. The relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.

A relation is a function if it has only one y-value for each x-value.

The given relation is one comma minus two

two comma one

three comma six

four comma thirteen

five comma twenty two.

(1,−2), (2,1), (3,6), (4,13), (5,22)

In the ordered pairs (x, y) , there should not have same y value.

As we observe there are only one y values for x value.

Every domain element is have unique codomain element.

Hence the relation  (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.

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Answer:

Just saying I LOVE THESE the slope is 3/2  

Step-by-step explanation:

Answer:

-4 to -4

Step-by-step explanation:

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

-4                -4

You may need to erase the comma

To get this answer, move the decimal point to the right 5 spaces to go from 4.345 to 434,500

If the exponent was -5, then you would move five spaces to the left.

Answer:

The square root of ( -1 ) is i

Answer:

the square root of -1 is i

Have a nice day! :D

Step-by-step explanation:

Answer: C , 0.29

Step-by-step explanation:

P(D) is the probability flirting of directly in person.

represents probability of flirting other than in person.

P(D)=0.710.

= 1 - 0.710.

= 0.29

Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.29.

Answer:

Median = 72

Step-by-step explanation:

Answer:

X=-10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

4.5(8-x) + 36 = 102 - 2.5(3x+24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

72 + 3x = 42

3x = -30

x = -10

Answer:

Yup 0,2,2,-1,-2

Step-by-step explanation:

Edg 2020

The value of g(-4) for the given function g(x)=x+4 is 0.

Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.

For −5 ≤ x ≤ −1

Lets take all range of values of x

g(-5) = x + 4 = -5 + 4 = -1

g(-4) = x + 4 = -4 + 4 = 0

g(-3) = x + 4 = -3 + 4 = 1

g(-2) = x + 4 = -2 + 4 = 2

g(-1) = x + 4 = -1 + 4 = 3

For −1 < x ≤ 5

Lets take all range of values of x

g(0) = 2 - x = 2 - 0 = 2

g(1) = 2 - x= 2 - 1 = 1

g(2) = 2 - x= 2 - 2 = 0

g(3) = 2 - x= 2 - 3 = -1

g(4) = 2 - x= 2 - 4 = -2

g(5) = 2 - x= 2 - 5 = -3

Therefore, the value of g(-4) for the given function g(x)=x+4 is 0.

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Answer:

I am pretty sure it is when you have a sequence of numbers that you are subtracting or adding from by the same constant over and over

Step-by-step explanation:

an=a1+(n-1)d

d=common difference

an= the nth term in the sequence

a1 first term in the sequence. (Usually you can plug in 1, as the n, and work from there)

Answer:

if y=4 then x=7

Step-by-step explanation:

y=2 when x = 1

that what l think

Answer:

40,000,000 or 40 million

Step-by-step explanation:

Answer: Kavitha is 18 and Lizzy is 27

Step-by-step explanation: 8 years ago, Kavitha was 10 and Lizzy was 19.

10 × 2 = 20

20 - 1 = 19

Kavitha is 9 years younger than Lizzy because 27 - 9 = 18

9514 1404 393

Answer:

  Kavitha is 19 and Lizzy is 28

Step-by-step explanation:

Let k and l represent the current ages of Kavitha and Lizzy.

  k = l -9 . . . . . Kavitha is 9 years younger

  l -8 = 2(k -8 -1) . . . . 8 years ago, Lizzy was 2 times as old as Kavitha was 9 years ago

  l -8 = 2(l -9 -9) . . . . substitute for k

  l -8 = 2l -36 . . . . . . eliminate parentheses

  28 = l . . . . . . . . . . . add 36 - l

  k = 28 -9 = 19

Kavitha is 19; Lizzy is 28.

Answer:

a

    [tex]A =  \$66 \foot [/tex]

b

   tex]C(10)' = \$60  /  feet[/tex]

c

   [tex]C(10)' = \$79.696 \ feet  [/tex]

Step-by-step explanation:

From the question we are told that

  The price per square foot of a floor tile is  [tex]p = \$ 3[/tex]

   The cost of shipping is  [tex]s =  \$ 20[/tex]

  The current length of the square bathroom is x =  10 ft

   The new length is  [tex]x_ 1 =  12 \  ft[/tex]

Generally the equation representing the cost of the square tile is mathematically represented as  

       [tex]C(x) =  3x^2 + 20[/tex]

Generally the average rate of change of cost is mathematically represented as

   [tex]A =  \frac{ cost \ for\  a \  12 feet \  bathroom - cost \ for\  a \  10 feet \  bathroom  }{12 feet  - 10 feet}[/tex]

Generally the cost for flooring a 12 feet square bathroom is mathematically represented as

             [tex]C(12) =  3(12)^2 + 20[/tex]

=>           [tex]C(12) = \$ 452 [/tex]

Generally the cost for flooring a 10 feet square bathroom is mathematically represented as

            [tex]C(10) =  3(10)^2 + 20[/tex]

=>          [tex]C(10) =  \$320[/tex]

So

            [tex]A =  \frac{ 452- 320 }{12 feet  - 10 feet}[/tex]

=>          [tex]A =  \$66 \foot [/tex]

Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows

         [tex]C(x) =  3x^2 + 20[/tex]

         [tex]C(x)' = \frac{dC(x)}{dx}  =  6x[/tex]

So the instantaneous rate of change of cost at length 10 feet is mathematically represented as

         [tex]C(10)' = 6(10)[/tex]

=>       [tex]C(10)' = \$60  /  feet[/tex]

Generally given that the new cost function is  

         [tex]C(x) =  20(1 + sinx) + 3x^2[/tex]

Now the instantaneous rate of change of cost will now be

       [tex]C(x)' =  20cos(x) + 6x[/tex]

So the instantaneous rate of change of cost at length 10 feet is mathematically represented as

         [tex]C(10)' =  20cos(10) + 6* 10 [/tex]

=>        [tex]C(10)' = \$79.696 \ feet  [/tex]

Answer:

37°

Step-by-step explanation:

We have been given the diagram of the triangle;

 To find the angle I;

 We need to apply one of the geometry laws,

The sum of adjacent internal angles of a triangle gives the external angle;

So;

      I + 115  = 152

   Solve for I;

      I  = 152 - 115 = 37°

Answer:

D

Step-by-step explanation:

Slope

All answers agree that the slope = - 3

y intercept

So far what you know is that the line is

y = -3x + b

The point shows that

5 = -3*2 + b                    Combine right

5 = -6 + b                        Add 6 to both sides

5 + 6 = -6+6 + b             Combine

11 = b

So the y intercept = 11

Answer: y = -3x + 11              D

Answer:

2000

Step-by-step explanation:

2000+40+16*2

2000