There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
Answer:
(-6) - 7 and -6 - (-4)
Step-by-step explanation:
you have to find the rate of change.
this equals -13/4=3.25
Answer:
3.7
Step-by-step explanation:
Really just divide and then round it to only one number on the right of the decimal(use a calculator)
Answer:
50 students
Step-by-step explanation:
24% students in a clan were absent in a day .
Hence, the Percentage of students present is calculated as:.
= 100 % - 24 %
= 76%
From the question, we know that:
If 38 students were present ,what is the total strength in the clan
The total strength of the clan = Total number of students. This is calculated as:
76% × x = 38 students.
76/100 × x = 38
76x /100 = 38
Cross Multiply
76x = 38 × 100
x = 3800/76
x = 50 students
X² - 16x + 17 = 0
x² - 16x + 8² - 8² + 17 = 0
(x - 8)² - 64 + 17 = 0
(x - 8)² - 47 = 0
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Answer: y = (x - 8)² - 47 (Answer D)
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