1.) 28-3x-4= 2x+12+x
2.) 24-3x= 3x+12
3.)24-6x=12
4.)-6x=-12
5.)x=2
(1,-2) im pretty sure is the answer
Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:
f(x) = (x - 8)² - 6.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence <u>h = 8, k = -6 and considering a = 1</u> the equation is given as follows:
f(x) = (x - 8)² - 6.
More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
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Answer:
Yes, 7.5 and 9.2 are outliers
Step-by-step explanation:
Given the 5 number summary :
Minimum: 1.8
Q1: 3.3
Median: 3.8
Q3: 4.5
Maximum: 9.2
To detect an Outlier use the Relation :
Lower bound : Q1 - 1.5*IQR
IQR = Q3 - Q1 = 4.5 - 3.3 = 1.2
lower bound : 3.3 - 1.5(1.2)
Lower bound = 3.3 - 1.8 = 1.5
Upper bound : Q3 + 1.5*IQR
Upper bound : 4.5 + (1.5 * 1.2)
Upper bound : 4.5 + 1.8 = 6.3
Hence,
1.5≤ x ≤ 6.3
Songs with length 7.5 and 9.2 do not meet the condition and are this outliers
