Imagine that 86,999 penniless people live in the town of Centerville. Bill Gates, whose net worth is $87,000,000,000 moves into Centerville. Now the mean net worth is ______ and the median net worth is ______.

Answer:

x = -4      x=-1

Step-by-step explanation:

10x + 6 = -2x^2 -2

Add 2x^2 to each side

+2x^2 +10x + 6 =2x^2 -2x^2 -2

2x^2 +10x + 6 =  -2

Add 2 to each side

2x^2 +10x + 6+2 =  -2+2

2x^2 +10x + 8 = 0

Divide each side by 2

2/2x^2 +10/2x + 8/2 = 0/2

x^2 +5x+4 = 0

What 2 numbers multiply to 4 and add to 5

4*1 = 4

4+1 =5

(x+4) (x+1) = 0

Using the zero product property

x+4 = 0     x+1 =0

x+4-4 = 0-4       x+1-1 =0-1

x = -4      x=-1

Answer:

x = -4 or x = -1

Step-by-step explanation:

Given equation is :

10x+6 = -2x²-2

Adding 2x² and 2 to both sides of above equation , we get

2x²+2 +10x+6 = -2x²-2 +2x²+2

Adding like terms , we get

2x²+10x+8 = 0

As we have noticed that there are multiples of 2.

Taking 2 as common,we get

2(x²+5x+4) = 0

Multiplying by 1/2 to both sides of above equation , we get

1/2.2(x²+5x+4) = 1/2.0

x²+5x+4 = 0

Split the middle term of above equation so that the sum of two term should be 5 and their product be 4.

x²+4x+x+4 = 0

Making two groups ,we get

x(x+4)+1(x+4)

Taking (x+4) common,we get

(x+4)(x+1) = 0

Applying Zero-Product Property to above equation, we get

x+4 = 0 or x+1 = 0

Firstly, solve x+4 = 0

Adding -4 to both sides of above equation,we get

x+4-4 = 0-4

x +0 = -4

x = -4  

Secondly, solve x+1 = 0

Adding -1 to both sides of above equation,we get

x+1-1 = 0-1

x = -1

Hence, the solution of 10x+6 = -2x²-2 is {-4,-1}.

Answer: No, a reflection transformation does not involve translation; it changes the orientation of a figure but does not move it.

Step-by-step explanation:

A reflection transformation, also known as a "flip" or "mirror," does not involve translation. Instead, it changes the orientation of a figure by reflecting it across a specific axis, such as the x-axis or y-axis. It creates a mirror image of the original figure.

Translation, on the other hand, is a transformation that moves a figure without changing its orientation. It involves shifting the figure horizontally and/or vertically.

If you want to both reflect and translate a graph, you would perform the reflection first and then apply the translation. These two transformations can be combined to achieve more complex transformations, but they are distinct operations.

Answer: C (third)

Step-by-step explanation:

Answer:  267 square feet

This value is approximate. The more accurate answer is roughly 266.66667 square feet but even this value is approximate as well.

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Explanation:

The scale of 1:40 means 1 inch on paper corresponds to 40 inches in real life. This type of notation is typically found on maps in the bottom corner.

What we'll do is multiply by 40 to go from the measurement on paper to the measurement in real life.

• 6 inches on paper gives 6*40 = 240 inches in real life. Divide by 12 to convert from inches to feet: 240/12 = 20. The room is 20 feet in length.
• 4 inches on paper gives 4*40 = 160 inches in real life. This converts to 160/12 = 13.333 feet roughly, which is the approximate width of the room.

In short,

• 6 inches on paper ---> 20 feet in real life
• 4 inches on paper ---> 13.333 feet in real life (approximate)

From here we multiply the length and width to get the area.

area = length*width

= 20*13.333

= 266.66 which rounds to about 267 square feet.

Feel free to round to some other level of precision. I'm rounding to the nearest square foot because that's the typical precision when it comes to listing sizes of houses and apartments.