Conjectures and Postulates are accepted as true without formally proving they are true.
2 answers:
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Answer:
Given that:
where
L(t) represents the length of each day(in minutes) and t represents the number of days.
Substitute the value of L(t) = 750 minutes we get;
Subtract 728 from both sides we get;
Divide both sides by 52 we get;
or
Simplify:
or
Simplify:
days
Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days
You could complete the square to state the vertex.
You could use the quadratic equation to find the roots (which are complex).
Try an example that will require both.
y = x^2 + 2x + 5
Step One
Get the graph. That's included below.
Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)
y= (x^2 +2x ) + 5
y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4
The vertex is at (-1,4)
Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.
a = 1
b = 2
c = 5
x = -1 +/- 2i
x1 = -1 + 2i
x2 = -1 - 2i And we are done.
You could use the quadratic equation to find the roots (which are complex).
Try an example that will require both.
y = x^2 + 2x + 5
Step One
Get the graph. That's included below.
Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)
y= (x^2 +2x ) + 5
y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4
The vertex is at (-1,4)
Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.
a = 1
b = 2
c = 5
x = -1 +/- 2i
x1 = -1 + 2i
x2 = -1 - 2i And we are done.
<h3><em>Answer:</em></h3>
<em>mean = 4</em>
<em>Median = 3</em>
<em>Mode = 1</em>
Step-by-step explanation:
first let’s arrange the numbers from least to highest:
1 , 1 , 1 , 2 , 3 , 3 , 5 , 5 , 15
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The median is the number that’s comes in the middle of the data set ⇒ median = 3 ( the fifth number in the data set)
1 , 1 , 1 , 2 , <u>3</u>, 3 , 5 , 5 , 15
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The mode is the number that repeats the most ⇒ mode = 1 (repeated 3 times)
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