Answer:
I can help you.
Step-by-step explanation:
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;
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Doubling formula is this:
where P=initial number of rabbits
t=time
d=time it takes to doulbe
ok, so 4 weeks is the doubling time so that is 4*7=28 days
we wawnt time=98
and oroiginal number of rabbits is 5 so
so P(98)≈56.56
we can't have .56 rabbit so round down or up
about 56 or 57 rabbits in 98 days
Answer:
<em>The slope of line is </em>
Step-by-step explanation:
Line has the slope and is perpendicular to line
Suppose, the slope of line is
We know that, the <u>product of the slopes of two lines which are perpendicular to each other is always </u>. So, the equation will be..............
So, the slope of line will be
Answer:
21
Step-by-step explanation:
Three raise to third power can be written as . In this three is the base which is raised to third power.
Next we need to subtract 6 from Three raise to third power(i.e from 27)
which can be written mathematically as
Hence 6 less than three raised to the third power is 21 as explained above.