(-2,y) and (2,4); slope: 1/4

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

frutty [35]

Answer:

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

Step-by-step explanation:

Here is the options to the question

Which equation best represents the data?

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

B) y= -1.036x^2 + 1024.771x - 163710

C) y= 298.214x - 66317.667

D) y= 196.2x – 18710

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

The data above represents the company's profit based on number of items produced.

To get the equation which best represents the data, we have to substitute the value of x into the given equations

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

y = -1.02x² + 1016.402x – 162075

y = -1.026(100)² + 1016.402(100) – 162075

y = -70500

Option A satisfies.

Using the second equation

When x = 100

y = -1.036x^2 + 1024.771x - 163710

y = -1.036(100)² + 1024.771(100) - 163710

y = -10360 + 102477.1 – 163710

y = -71592.9

Option B doesn’t satisfies

We can also replace the various values of x in the equations to check whether or not they satisfy.

4 0

3 years ago

Simplify the fraction

oksano4ka [1.4K]

Answer:

3/10

Hope this helps!

Have a good day :)

8 0

1 year ago

How many outliers do these data contain 73, 37, 45, 37, 33, 5, 25, 34, 46, 42, 40, 34, 49, 46, 45

masya89 [10]

The data set has two outliers:
73 and 5.

All the other values are fine.

Hope this helps!

4 0

2 years ago

Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit

Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is $2$

Part 2) The vertex is the point $(1,8)$

Part 3) The equation of the axis of symmetry is $x=1$

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is $y=2x^{2}-4x+10$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

$x=h$

In this problem we have

$y=2(x-1)^{2}+8$ -----> this is the equation in vertex form of a vertical parabola

The value of $a=2$

so

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point $(1,8)$

so

$(h,k)=(1,8)$

The equation of the axis of symmetry is $x=1$

The equation of a vertical parabola in standard form is equal to

$y=ax^{2}+bx+c$

Convert vertex form in standard form

$y=2(x-1)^{2}+8$

$y=2(x^{2}-2x+1)+8$

$y=2x^{2}-4x+2+8$

$y=2x^{2}-4x+10$

see the attached figure to better understand the problem

7 0

3 years ago

Given the information below, QRS is UVT similar to ? If so, give the scale factor.

viktelen [127]

$Look\ at\ the\ picture.\\\\\Delta QRS\sim\Delta UVT\ if\ \frac{|QR|}{|UV|}=\frac{|RS|}{|VT|}\\\\\frac{|QR|}{|UV|}=\frac{8}{18}=\frac{4}{9}\\\\\frac{|RS|}{|VT|}=\frac{16}{34}=\frac{8}{17}\\\\Answer:A.\ No,\ the\ triangles\ are\ not\ similar.$

4 0

2 years ago