Step-by-step explanation:
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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:
10
Step-by-step explanation:
We need to divide 2 3/5 ft by 1/4 ft.
2 3/5 / 1/4 =
= 2 3/5 * 4
= 13/5 * 4
= 52/5
= 10 4/10
Answer: 10
8.02 x 10^-2 = 8.02 * 0.01 = 0.0802 <span>in standard form</span>
The sum of all edges is 108 cm.
There are two bases whose edges are all 8 cm; this gives us 8(4)+8(4) = 32+32=64.
There are 4 edges between bases that are 11 cm each; 11(4) = 44
Together, this gives us 64+44=108 cm.