4x² - 16 is the algebraic expression that must be added to get the result as 9x²- 2x - 5.
<u>Step-by-step explanation:</u>
The question is asked for the algebraic expression must be added to the sum of 3x²+4x+8 and 2x2−6x+3 to give 9x²- 2x - 5 as the result.
Therefore,
The first step is to find of sum of 3x²+4x+8 and 2x²-6x+3.
To find the sum :
3x²+4x+8
<u>2x²-6x+3 </u>
<u>5x²-2x+11</u>
The sum is 5x²-2x+11.
Now, the second step is to subtract 5x²-2x+11 from the result 9x²- 2x - 5.
9x²- 2x - 5
- <u>(5x²-2x+11)</u>
<u> 4x² -16 </u>
Thus, 4x²-16 is the algebraic expression that must be added with 5x²-2x+11 to get a result of 9x²- 2x - 5.
Answer:

Step-by-step explanation:
Given


Required
Complete the equation y - 4.....
First, we need to determine the slope as follows:



The equation is then calculated as thus:

This gives:

Open bracket

Add 4 to both sides




Answer:
reflection over the x-axis and a vertical compression by a factor of 8
Step-by-step explanation:
The parent function is given as

The transformed graph has equation:

The factor of 8, indicates a vertical stretch.
The negative sign indicates a reflection in the x-axis.
Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.
Answer:
300 %
Step-by-step explanation:
Length of the larger cube =4 cm
So volume 
Length of the smaller cube = 1 cm
Volume of the smaller cube 
So total number of smaller cube 
Surface area of the larger cube 
Surface area of the 64 smaller cube 
So percentage increase in surface area
%