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:
1930g
Step-by-step explanation:
Mass = density × volume
Mass = 19.3×100 = 1930g
<h3>
Answer: 25%</h3>
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Work Shown:
A = old value = 12 pounds
B = new value = 15 pounds
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (15-12)/12 ] * 100%
C = (3/12)*100%
C = 0.25*100%
C = 25%
The positive C value indicates a percent increase
So effectively, we find the difference or change in weight (B-A) and divide it over the original weight (A). That leads to 0.25 which converts to 25%
Note that,
25% of 12 = 0.25*12 = 3
This says that the puppy gained 3 pounds, which is the value of B-A
Since the puppy gained 3 pounds, the new weight is 12+3 = 15 pounds
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As an alternative, we could divide the two values B over A to find that
B/A = 15/12 = 1.25
Then subtract 1 from this result: 1.25 - 1 = 0.25 = 25%
Answer:
A. 4m
Step-by-step explanation:
r= sqrt (64pi)/(pi*4) = 4m
Answer:
the answer is 95
Step-by-step explanation:
you divide 90 by 36 to get 2.5 then times that by 38