Answer:
(-2,1)
Step-by-step explanation:
Since this is an upwards opening parabola, the minimum point is at the vertex
We can find the x coordinate of the vertex by
y = 2x^2 +8x +9
where a=2 b =8 and c =9
x = -b/2a
x = -8/(2*2)
= -8/4 = -2
The x coordinate is -2
Now substitute this in to find the y coordinate
y = 2(-2)^2 +8(-2)+9
= 2*4 -16+9
8-16+9
=1
The vertex = (-2,1), which is the minimum point
Answer:
Carlo ran 33.3% of the miles.
Step-by-step explanation:
It sounds like David ran 2 laps for every 1 lap that Carlo ran. So, for every 1 mile that Carlo ran, David ran 2 miles, which means if you add both miles together: 1 mile (Carlo) + 2 miles (David) = 3 miles, that Carlo ran 1/3 of the miles, and David ran 2/3 of the miles. In percentages, it means Carlo ran 1/3=0.333 or 33.3% and David ran 2/3=0.666 or 66.6%
Attached the solution and work.
