What is the length of segment TR? _______ units
2 answers:
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Answer:
Step-by-step explanation:
We want to write a quadratic function in vertex form whose vertex is (1, 0) and passes through the point (2, -17).
Recall that vertex form is given by:
Where (<em>h</em>, <em>k</em>) is the vertex and <em>a</em> is the leading coefficient.
Since our vertex is at (1, 0), <em>h</em> = 1 and <em>k</em> = 0:
It passes through the point (2, -17). Hence, when <em>x</em> = 2, <em>y</em> = -17:
Solve for <em>a: </em>
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In conclusion, our quadratic function in vertex form is:
Answer:
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Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a
Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula
Next, is to determine the formula using:
<em>Considering :When x = 0; y = 39000, we have</em>
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<em>Make y the subject of formula</em>
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<em>Express y as a function of x</em>
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Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes