Brian is solving an equation where both sides are quadratic expressions. he graphs the expressions and finds that the two graphs share a common vertex, but one graph opens upward and the other opens downward. how should brian interpret this outcome?

a. there is exactly one intersection point.
b. there are exactly two intersection points.
c. there are exactly three intersection points.
d. there are infinitely many intersection points.

- A. There is exactly one intersection point.

Explanation:-

Given: Brian is solving an equation where both sides are quadratic expressions.

⇒ graph of function must be U-shaped curve called parabola.

Then, he graphs the expressions and finds that the two graphs share a common vertex, but one graph opens upward(U) and the other opens downward(∩).

⇒There must be exactly one intersection point. [∵their direction is different ,they cannot meet on any other point except the common vertex]

step-by-step explanation:

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the answer is 31.27mph