Question

The function y=-0.296x^2+2.7x models the length x and height y that your sister's pet rabbit can jump, in centimeters. What is the maximum height that the rabbit can reach during its jump? Once the rabbit reaches the ground, what is the total length of its jump?

Answer 1

Answer:

y=6.15cm

total length covered 9.12cm

Step-by-step explanation:

From the equation of a parabola

Recall that:

Parabola->

y=ax^2+bx+c

& y= height rabbit jumps & x= length rabbit jumps

What is max height rabbit can jump?

Solving for the x coordinate of the vertex:

x=−b/2a

from  y=-0.296x^2+2.7x

Let a= -0.296 & b=2.7

x=−2.7/2(−0.296)

x=4.56

To find y coordinate  when x= 4.56

... y=-0.296x^2+2.7x

-0.296(4.56)^2+2.7(4.56)

y=6.15cm

The total length covered will be 9.12cm=2x

Answer 2

Answer:

quadratic system quiz part 1 unit 6 lesson 9

Step-by-step explanation:

1)c:x=1,-3

2)b:6.2;9.1

3)a:1-7i

4)d:no real solutions

5)a: (0,3)

6)a:-3/4i,3/4i

7)c:(-4,0)(-1,3)

8)a

9)b:5i