The standard form of a line:
We have the equation of a line in the slope-point form:
use distributive property
add 3 to both sides
multiply both sides by 2
subtract x from both sides
change the signs
The ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]
<h3>System of equations</h3>
Given the following system of equations expressed as:
f(x) = x² - 2x + 3 and f(x) = -2x + 12
Since they are both function of x, hence;
x² - 2x + 3 = -2x + 12
x² - 2x + 3 + 2x - 12 = 0
x² - 9 = 0
x² = 9
x = ±√9
x = ±3
If x = 3
f(x) = -2(3) + 12
f(x) = 6
If x = -3
f(x) = -2(-3) + 12
f(x) =18
Hence the ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]
Learn more on system of equation here: brainly.com/question/14323743
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Answer:
The first set 4 , 6 , 6 , 8
The second set 2 , 6 , 6 , 10
Step-by-step explanation:
Mean is the average of the values in a set. This can be found by summing all the numbers and dividing by the total number. The median is the middle number when the values are listed in order of increasing size. The mode is the number(s) that appear the most often in the set.
The first set 4 , 6 , 6 , 8
mean = (4 + 6 + 6 + 8 )/4 = 6
median = (6+6)/2 = 6
Mode = 6
The second set 2 , 6 , 6 , 10
mean = (2 + 6 + 6 + 10)/4 = 6
median = (6+6)/2 = 6
Mode = 6
