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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Answer:
In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers.
Step-by-step explanation:
Answer:7
Step-by-step explanation:
324/18 hours = 18$ per hour
126/18$=7 hours
The next bigger hundred is 500 .
The next smaller hundred is 400.
487 is nearer to 500 .
We need the radius to find the surface area. Since we have the circumference we can use that to find the radius.
C = 2πr
23 = 2(3.14)r
23 = 6.28r
23/6.28 = r
3.66 = r
Now use the radius to find the surface area.
SA = 4πr²
SA = 4(3.14)(3.66)²
SA = 168.33
Surface area is C. 168 cm²
Hope this helps :)
