The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).
<h3>What is the parabola?</h3>
It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
The function f(x) = 5x² + 40x
Then add and subtract 80, then we have
f(x) = 5x² + 40x + 80 – 80
f(x) = 5(x² + 8x + 16) – 80
f(x) = 5(x + 4)² – 80
The vertex of the parabola will be at (–4, –80).
More about the parabola link is given below.
brainly.com/question/8495504
The problem says that the expression (3x + 5)(5x − 1) <span>represents the area of the floor of the building in square meters. Therefore, to solve this problem you have to follow the proccedure shown below.
1. First, to simplify the expression (3x + 5)(5x − 1) you must apply the distributive property. Then, you obtain:
15x</span>²-3x+25x-5
2. Then, you have:
15x²+22x-5
3. As you can see, the correct answer is the last option: 15x²+22x-5
Answer:
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Step-by-step explanation:
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