Answer:
median=mode
Step-by-step explanation:
I just did it.
First, identify the formula you will use.
sum of all scores / number of scores = 225.
(192 + 214 + 250 + x) / 4 = 225
192 + 214 + 250 + x = 900
x = 900 - 656
x = 244
As you can see clearly the first equation and the second equation descripe the same line so the have infinite soultions that is why it is a coincident system
Answer:
m3 is 60 degrees
Step-by-step explanation:
Angles 1 & 3 are complementary angles. What that means is that the two angles equal 180 degrees. We already have 120 degrees with m1, so subtract that from 180 for 60 degrees.
Given the expression:
-x^2+18x-99
to solve by completing squares we proceed as follows:
-x^2+18x-99=0
this can be written as:
-x^2+18x=99
x^2-18x=-99.......i
but
c=(-b/2)²
Hence:
c=(-(-18)/2)²=81
adding 81 in both sides of i we get:
x^2-18x+81=-99+81
factorizing the quadratic we obtain:
(x-9)(x-9)=-18
thus
(x-9)²+18=0
the above takes the vertex form of :
y=(x-k)²+h
where (k,x) is the vertex:
the vertex of our expression is:
(9,18)
hence the maximum point is at (9,18)
NOTE: The vertex gives the maximum point because, from the expression we see that the coefficient of the term that has the highest degree is a negative, and since our polynomial is a quadratic expression then our graph will face down, and this will make the vertex the maximum point.
