Three consecutive integers add up to 258. What is the smallest integer?

Answer:

A function is a relationship that maps the elements of a set, the domain, into elements of another set, the range.

The restriction that we have for functions is: The elements on the domain can be mapped into only one element in the range.

Then if:

f(x1) = y1

and

f(x1) = y2

where y1 is different than y2

f(x) is not a function.

Now, in the graph you can see a region where both lines overlap, then for some values of x we have two possible values of y, this means that the graph does not represent a function.

Then:

Ed: He is incorrect because we can have different values in the domain mapped into the same value in the range (like in the case of a line y = b, where we have all the elements in the domain mapped into the same element in the range, b)

Debra: There is something called piecewise functions, that are functions of this type, formed by different pieces.

Alejandro: He is correct.

Antoine: Not because you can write an equation means that the relation is a function. You can write an equation for a circle, but it will not be a function.

Answer:

A

Step-by-step explanation:

Answer:

D   Social Security tax: $6,621.60, Medicare tax: $3,413.70

Step-by-step explanation:

Following are the calculation to the Social Security and Medicare tax value:

         [tex]\to \$106,800\ is\ 12.4\%\ of\ \$106,800 = 0.124 \times \$106,800 = \$13,243.20[/tex]

     [tex]\to \$106,800\ is\ 2.9\%\ of\ \$106,800 = 0.029 \times \$106,800 = \$3,097.20[/tex]

Therefore, the final answer is "$13,243.20 and $3,097.20".

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Answer:

a) C(2000)=1915

C(2014)=1915

b) [tex]C'(2000)=-\frac{275}{14}[/tex]

[tex]C'(2014)=-\frac{275}{14}[/tex]

c) [tex]C(t)=-\frac{275}{14}t+\frac{288405}{7}[/tex]

d) t=2021

e) too early

Step-by-step explanation:

a)

Since C(t) is the concentration of CFCs in ppt in year t, all we need to do to solve this part is determine what the concentration of CFCs is in years 2000 and 2014. Luckily for us, the problem already gives us those values, so:

C(2000)=1915    concentration in year 2000

C(2014)=1915      concentration in year 2014

b)

By definition, the derivative of a function at a given point is interpreted as the slope of the tangent line to the point of interest, so in order to find this answer, we need to find the slope of the line. Since the problem specifies that the behavior is linear, this means that the slope will always be the same no matter the year, so we get:

[tex]m=C'(t)=\frac{C'(t_{2})-C'(t_{1})}{t_2-t_1}[/tex]

so:

[tex]C'(t)=\frac{1640-1915}{2014-2000}=-\frac{275}{14}\approx -19.64[/tex]

therefore:

[tex]C'(2000)=-\frac{275}{14}[/tex]

[tex]C'(2014)=-\frac{275}{14}[/tex]

c)

Since the behavior is linear, we can calculate it with the point-slope form of the line which is:

[tex]y-y_{1}=m(x-x_{1})[/tex]

in this case:

[tex]C(t)-C(t_1)=C'(t)(t-t_{1})[/tex]

so we get:

[tex]C(t)-1915=-\frac{275}{14}(t-2000)[/tex]

and we can now solve for C(t) so we get:

[tex]C(t)=-\frac{275}{14}t+\frac{275000}{t}+1915[/tex]

for a final answer of:

[tex]C(t)=-\frac{275}{14}t+\frac{288405}{7}[/tex]

d)

So next we solve the equation for C(t)=1500 so we get:

[tex]1500=-\frac{275}{14}t+\frac{288405}{7}[/tex]

[tex]1500-\frac{288405}{7}=-\frac{275}{14}t[/tex]

[tex]-\frac{277905}{7}=-\frac{275}{14}t[/tex]

[tex]t=2021 \frac{7}{55}[/tex]

so we will reach that concentration level at the year 2021 approximately.

e)

Since the second derivative of the concentration function is greater than zero, this means that the original function might be a function in the form: .

This means that the decrease of the concentration levels is slower than that of a linear equation. So the projected date will be too early than the real date.

Answer:

It's 0

Step-by-step explanation:

0 is a greater number than the answer for 2 times -6, which is -12

I assume you want the math statement.

Let n = a number

Let n^2 = the square of a number

Add means to use addition.

Answer: 6 + n^2

Answer:

probably yuki

Step-by-step explanation:

real fact

Answer:

3

Step-by-step explanation:

since there are 304 goumballs and a box can only fit one hundred the question says how many boxes will be COMPLETELY full

Answer:

3 boxes

Step-by-step explanation:

304÷100=3.04

Answer:

(1, 6), (2, 8), (3, 10)

2(1) + 4 = 6, 2(2) + 4 = 8 and 2(3) + 4 = 10.

Step-by-step explanation:

The set of inputs for the equation f ( x ) = 2x + 4 is

( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be f ( x ) = 2x + 4

f ( x ) = y

Now ,

Let the first point be A ( 1 , 6 )

Let the second point be B ( 2 , 8 )

Let the third point be C ( 3 , 10 )

a)

A ( 1 , 6 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

6 = 2 ( 1 ) + 4

6 = 2 + 4

6 = 6

Hence , the input A ( 1 , 6 ) satisfies

b)

B ( 2 , 8 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

8 = 2 ( 2 ) + 4

8 = 4 + 4

8 = 8

Hence , the input B ( 2 , 8 ) satisfies

c)

C ( 3 , 10 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

10 = 2 ( 3 ) + 4

10 = 6 + 4

10 = 10

Hence , the input C ( 3 , 10 ) satisfies

Hence , The set of inputs for the equation f ( x ) = 2x + 4 is

( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )

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Answer:

47.42

Step-by-step explanation:

Try solving this way

 23.85

+07.42

+16.16

=======

47.42

Sadly the question is incomplete, so we can not see the described transformation of the parent function, thus we can't see the error in that description.

What we can do is describe the transformation shown here.

Here we can see the parent function:

f(x) = x^2

This function opens upwards, so what we see in the graph is this function reflected across the horizontal axis (the x-axis). So the transformation is just a reflection across the x-axis.

(notice that it passes through (-1, -1) and (1, -1), so there is no dilation nor contraction)

For a general function f(x), a reflection across the x-axis is just:

g(x) = -f(x)

So here the transformed function is:

g(x) = - x^2

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Answer: 8

Step-by-step explanation:

Answer

25

Step-by-step explanation:

20/32 = 0.625

40 x 0.625 = 25

You can check by doing 25/40 and see if you get the same proportion (x/y)

25 is the correct answer 32/20 is 1.6 and 40/25 is also 1.6

Answer:

12 by 12

Step-by-step explanation:

12x12=144 which equals a square

Answer:

5>6

Step-by-step explanation:

how many faces does the dice have? I'm gonna assume it had six faces.

Answer:

1/6

Step-by-step explanation:

since the dice has one 1 on it and it cannot be seen

Answer:

_1+5+0+8=65

Step-by-step explanation:

Col-ledge math solution hope you dont get confused

Hope this helps :)

Brainest pls?

Answer:

x= -10

Step-by-step explanation:

simplify 36 - 4.5x + 36 to -4.5x + 72

simplify 102 - 7.5x - 60 to -7.5x + 42

add 7.5x to both sides

simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

simplify 42 - 72 to -30

divide both sides by 3

simplify 30/3 to 10

Answer: x = -10

Answer:

idk but i can tell you another site if you still need help,

QUIZLET

Step-by-step explanation:

Answer:

x=17 degrees

Explanation:

Its the same angle as 17 degrees

Answer: y=1/5x

Step-by-step explanation:

Answer:

It is y = y equals 1 Over 5 x Or Y=1/5x.

Step-by-step explanation:

Did it on edge 2020

Proof:

Answer:

-3x + 2 = y

As the y-intercept is y = 3

And the rise/run = 3/-1

Answer:

Sample Response: The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.

DJ can arrange 88,55 times the first four songs on the playlist.

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

Given that,

DJ prepares a playlist of 23 songs.

Since, DJ arranges the first four songs on the playlist,

The ways to arrange the song on the playlist,

= [tex]^{23}C_4[/tex]

= 23 ! / (4! x (23 - 4)! )

= 23 ! / (4! x 19!)

= (23 x 22 x 21 x 20 x 19!) / (4 x 3 x 2 x 1  x 19!)

= 23 x 11 x 7 x 5

= 8855

There are 8,855 ways to arrange first 4 songs.

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Answer:

5 times the sun of 2x and 3y equals the difference of y to the second power and 2x cubed

Answer:

What is the question?

Step-by-step explanation:

I will change my  answer if you put a clear question up...

Answer:

This number would be straight out zero  .

Step-by-step explanation:

First it said the quotient of fifty and five MORE than a number is 10, so we first need to focus on the line five MORE than a number is 10, so we know this number is less than the value used in the equation then we focus on the quotient of fifty and, So we know this unknown number lets just say the variable for it is n, then we know that fifty/ n+5=10. So Lets use the associative property to turn this into and some algebra to fifty/10 = n+5, so 50/10 equals to 5, so we know that, 5= n+5, so that would be... n =  0. Hope this helps you answer your question! :)

Answer:

Maybe it's C.

Step-by-step explanation:

Answer:

ti is  A BOOK TITLE

Step-by-step explanation: