The simplest form is, <span>x-1 </span>
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Answer:
look at the picture i have sent
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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Step-by-step explanation:
45+90+x=180
135+x=180
x=180-135
x=45
Answer:
a) 10:13:3
b) 258 cm
Step-by-step explanation:
The ratio of elena's height to pavai's height is 10:13. The ratio of elena's height to kamir's height is 2:3. Their total height is 456 cm.
a) Find the ratio of elena's height to pavani's height to kamir's height in its simplest form.
10:13:3
b) What is pavani's height?
The ratio of elena's height to pavai's height is 10:13.
Their total height is 456 cm
Sum of proportions = 10 + 13 = 23
Hence:
13/23 × 456 cm
= 257.73913043 cm
Approximately = 258 cm
