The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
brainly.com/question/25841119
#SPJ1
Answer:
the probability that the rack ends up in alphabetical order is 0.0001984
Step-by-step explanation:
Given that:
You own 24 CDs. You want to randomly arrange 7 of them in a CD rack.
Th probability that the rack ends up in alphabetical order can be determined by taking note of the permutations and combinations.
From above; all possible permutations of size 7 we can derive from 24 is
24P7
Similarly,we are meant to estimate all the possible ways a unique set of 7 things can be gotten from a total of 24
i.e
24 C7
∴
The probability =
=
=
=
= 0.0001984
the probability that the rack ends up in alphabetical order is 0.0001984
Answer:5*4=20+2=22
22 is the answer
Step-by-step explanation: