The data in the table represents a company's profit based on the number of items produced.

Mathematics

2 answers:

bija089 [108]3 years ago

7 0

Answer:

(A)

Step-by-step explanation:

WE are given the data which represents the company's profit based on number of items produced.

The equation which best represents the data can be found out by substituting the values of x in the given equations.

So,substituting x=100 in first equation, we have:

$y=-1.026x^{2} +1016.402x-162075$

$y=-1.026(100^{2})+1016.402(100)-162075$

$y=-10260+101640.2-162075$

$y=-70500$

which satisfies the equation. Hence, option A satisfies.

We can also substitute the different values of x in the equations to check whether it satisfies or not.

irina [24]3 years ago

5 0

Answer:

(A) y= -1.026x^2 + 1016.402x - 162075

Step-by-step explanation:

Given is the data 'x' -Items produced. The equation that satisfies the given data can be found by simply substituting the values of x in the given equations. For example:

Substituting the value of x= 100 in the given equations,

A) y= -1.026(100)^2 + 1016.402(100)-162075= -70,500

Similarly you can check the values on the rest of the equations and if they satisfy the equation, then the given is the required equation.

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valentinak56 [21]

Answer:

Step-by-step explanation:

Graphing systems of linear inequalities is as follows:

Step 1:

Firstly sketch first line which is in this case f(x) = x +1 which means we sketch

y = x + 1

Step 2:

Secondly we sketch the second line which is f(x) = 2 which means we sketch

y = 2

Step 3:

Thirdly we sketch the third line which is f(x) = x which means we sketch

y = x

Now since we have sketched all the three lines we see the inequalities in the first equation it says if x < 0 it means for all values of x which are less than zero meaning all the negative values meaning the graph will not exist for values of x = 0 or higher so we omit that region.

Now we for the second line it says 0 ≤ x ≤ 1 meaning the second line exists for the values of x between zero and one and the rest we omit.

Now for the third line it says x > 1 meaning the third line exists for all values of x greater than 1 meaning we omit everything else.

The rest i have attached some images on to graph the functions do take a look because typing all that would take ages so its better if you visualize it might help you understand it better.