The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football? 15.21 yd
19.5 yd
38.94 yd
45.63 yd

15.21 yd

Step-by-step explanation:

The maximum height is the value of the y- coordinate of the vertex.

Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 ), then

the x- coordinate of the vertex is

= -

y = - 0.04x² + 1.56x ← is in standard form

with a = - 0.04 and b = 1.56 , thus

= - = 19.5

Substitute x = 19.5 into the equation for corresponding value of y

y = -0.04(19.5)² + 1.56(19.5) = - 15.21 + 30.42 = 15.21 yd

Maximum height is 15.21 yd

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500