Answer:
<u>8 home theaters are sold for each $ 500 spent on advertising </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Advertising ($) 1,000 - $ 2,000 - $ 3,000
Home Theaters 16 - 32 - 48
2. How many home theaters does the company sell for each $500 spent on advertising?
As we can see in the graph:
16 home theaters are sold when the amount on advertising is $ 1,000
32 home theaters are sold when the amount on advertising is $ 2,000
48 home theaters are sold when the amount on advertising is $ 3,000
Therefore, we can use this ratio:
x = Number of home theaters that are sold when the amount on advertising is $ 500
16/1,000 = x/500
1,000x = 500 *16
1,000x = 8,000
x = 8,000/1,000
<u>x = 8</u>
A closed dot mean "greater than or equal to" or "less than or equal to"
An open dot means "less than" or "greater than"
In this case, an open dot would mean
X>-2
The property used in step 6 is the additive inverse.
<h3>What are algebra properties?</h3>
Algebra properties are mathematical properties used to simplify algebraic expressions
In step 6, we have the following expression:

The additive property of algebra states that:

i.e. when a number or an expression is added to its inverse, the result is 0.
In
, we have:
2 and -2
2 and -2 are inverses or opposites.
So, when they are added; the result is 0
Hence, the property used in step 6 is the additive inverse.
Read more about algebra properties at:
brainly.com/question/4344214
Answer:

Step-by-step explanation:
we know that
The quadratic function of the figure has a vertex at (2,-5) and the y-intercept is the point (0,3)
The equation of a vertical parabola in vertex form is equal to

where
(h,k) is the vertex
a is a coefficient
we have

substitute

with the y-intercept find out the value of a
For x=0,y=3




The equation is




Looking at the graph, the solution is the shaded area below the quadratic equation
so
the value of y must be less than or equal to the quadratic function

Answer:
Step-by-step explanation:
9x+8x+5+11= 17x+16
-5x-2x-7+6= -7x-1
-x-5x-9-4= -6x-13
3x-x-4+7= 2x+3
7x-5x+4-5= 2x-1
2x+7x-3+11= 9x+8
-4x+6x-5-8= 2x-13
12x-2x-14-3= 10x-17
5x-5x+4-12= -8
Hope this helps (brainliest is appriciated)