Raven needs new winter boots. Both ShoeTown and LaceUp shoe stores carry the boots she wants to buy. The boots are regularly pri
ced $85.95, but both stores are running sales. ShoeTown has the boots marked down 15%. LaceUp has the boots marked down 10%, plus Raven has a $5 coupon she can use on the boots after the mark down is applied.Raven’s friend, Becca, tells Raven there is an online shoe store called Run, Don’t Walk that has the boots she wants for only $71.99. If Raven buys the boots in a local store, she will have to pay 7.16% sales tax on her purchase. If Raven buys the boots online, she won’t have to pay sales tax, but she will have to pay $6.50 for shipping.
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Using it's vertex, the maximum value of the quadratic function is -3.19.
<h3>What is the vertex of a quadratic equation?</h3>A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the equation is:
y + 4 = -x² + 1.8x
In standard format:
y = -x² + 1.8x - 4.
The coefficients are a = -1 < 0, b = 1.8, c = -4, hence the maximum value is:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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