F(x)=x^2-4x+7
My work is attached below
Answer:
22
Step-by-step explanation:
ST is y and SU is 2y-4.
Note that SU = ST + TU = y + 18
So we have 2y - 4 = y + 18
2y - 4 = y + 18
2y = y + 22
y = 22
So ST is 22.
:)
<span>The definition of quadratic function is given by:
</span>

<span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form.
</em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>

<span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:

Thus:
Finally,
the answer is:

The graph of this function is shown in the figure below.</span>
Ussed = x
biked = 75 + x
total trip = 325 = x + (75 + x)
325 = 75 + 2x
250 = 2x
x = 125
<span>biked = 75 + x = 75 + 125 = 200 km</span>
T is greater then or equal to 30