Answer: (x - 3)² = 21
<u>Step-by-step explanation:</u>
x² - 6x + ____ = 12 + ____
↓ ↑ ↑

x² - 6x + <u> 9 </u> = 12 + <u> 9 </u>
(x - 3)² = 21
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Answer: (x - 6)² = 26
<u>Step-by-step explanation:</u>
2x² - 24x = -20
<u>÷2 </u> <u> ÷2 </u> <u> ÷2 </u>
x² - 12x = -10
x² - 12x + ____ = -10 + ____
↓ ↑ ↑

x² - 12x + <u> 36 </u> = -10 + <u> 36 </u>
(x - 6)² = 26
Answer:
D. 
Step-by-step explanation:
The point-slope form of a line is given by:

The line given to us has equation;
.
The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.
Our slope of interest is therefore; 
Since the point goes through (-2,7), we have
.
We plug in the slope and the point into the point-slope formula to obain;

The required equation is:

Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
I had this question not to long ago and got it right
Simple, finding markdown, use these two formulas.
Markdown=Original-New
and
Percent Markdown= Markdown Amount/Original*100
So,
Markdown=612-450
M=162
Markdown%= 162/612*100
M%=0.2647*100
M%=26.5 (rounded)
Thus, there was a 26.5% decrease.
Answer:
Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Step-by-step explanation:
<u>Interpreting Box Plots</u>
A box plot is used to present the 5-Number summary of a set of data.
The 5-Number summary consists of the following in their order of appearance on the box plot.
- Minimum Value
- First Quartile,

- Median,

- Third Quartile,

- Maximum Value
In the box plot, the following rules applies
- The whisker starts from the minimum value and ends at the first quartile.
- The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
- The end whisker starts at the third quartile and ends at the maximum value.
Using these, we interpret the given box plot
A left whisker extends from 1 to 6.
- Minimum Value=1
- First Quartile =6
The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.
- Median=12
- Thrid Quartile=16
The right whisker extends from 16 to 19.
Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.