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.
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Answer:
Rational, Rational, Rational, Irrational, Irrational
Step-by-step explanation:
The first question:
This number is rational
Second:
This number is rational. It wouldn't be rational if the digits won't repeat.
Third:
This number is rational
Fourth:
This is irrational. The digits of pi do not repeat, making it irrational.
Fifth:
Irrational. The square root of a non-perfect square is irrational.
<h3 />
-Chetan K
Answer:
x> or equal to 35. 36 is a solution.
Step-by-step explanation:
Answer:
<em>32.5 m^2</em>
Step-by-step explanation:
B = 377lw
I will use L for length instead of l.
B = 12,252.5 BTU
w = 5 m
First, we find the length.
12,252.5 = 377(L)(5)
12,252.5 = 1885L
L = 6.5
The length is 6.5 m. The width is 5 m.
A = LW = (6.5 m)(5 m) = 32.5 m^2
Answer:
19/20 of a mile.
Step-by-step explanation:
The common denominator is 20 so we times the first one by 2 the second one by 5 and the last one by 4. (Both numerator and denominator.)
You will end up with this 
