How to simplify 28/168
Clueless

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.

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:

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.

The equation that represents the average of the x-intercept is 3.

Option C is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

f(x) = 4x² - 24x + 20

x-intercept is f(x) = 0.

Now,

4x² - 24x + 20 = 0

4(x² - 6x + 5) = 0

x² - 6x + 5 = 0

x² - (5 + 1)x + 5 = 0

x² - 5x - x + 5 = 0

x(x - 5) - 1(x - 5) = 0

(x - 1)(x - 5) = 0

x = 1 and x = 5

The average of x-intercept.

= (1 + 5)/2

= 6/2

= 3

Thus,

The average of the x-intercept equation is 3.

Learn more about equations here:

brainly.com/question/17194269

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Answer:

To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20

It has to be equated to zero and the values of x are the x-intercepts. So,

4x2 – 24x + 20 = 0

The resulting equation is a quadratic equation which can be solved by different methods. The solution is

x = 5, 1

The average therefore is:

(1+5/)2 = 3

Answer: (-2,-4), (2,1) and (7,-5)

Step-by-step explanation:

When rotating a point 180 degrees about the origin a point A(x,y) becomes A'(-x,-y).

When translating a point B(x,y) by 'h' units left, then the new point will become B'(x-h,y).

Given: A triangle with coordinates (6,4), (2, -1), and (-3,5) is translated 4 units left and rotated 180° about the origin.

Translation rule for 4 units left : (x,y) → (x-h,y)

The new coordinates will be (6-4,4) , (2-4,-1) and (-3-4, 5)

i.e. (2,4), (-2,-1) and (-7,5) .

Now, applying the rotation rule of 180 degrees we get the points of the final image as

(-2,-4), (2,1) and (7,-5) .

Hence, the coordinates of its image is (-2,-4), (2,1) and (7,-5) .