Question

1. a biology class wanted to study how the height of a sunflower plant changes over time. they measured the height every week for several weeks and recorded the data below. using the quadratic regression feature on desmos, what was the maximum predicted height of the sunflower? (5pts)

work (x) height (cm) (y)
0 8
1 15
2 28
3 45
4 62
5 70
6 68
7 55

1. graph the function in desmos to determine the zeros. ( f(x)=3 x^{2}-11 x - 4 ) (4pts)
2. a toy rocket is launched into the air. the function ( h(x)=-16 x^{2}+32 x + 128 ) gives the height, ( h ), in feet, of the projectile ( x ) seconds after it is launched. after how many seconds will the projectile land back on the ground? (4pts)
3. what is the difference of ( (5 + 3i) ) and ( (2 + 9i) )? (5pts) show work!!!!

a. ( 7 + 12i ) b. ( 3 + 6i ) c. ( 3 - 6i ) d. ( 7 + 6i )

Explanation:

Step1: Subtract the real parts

\((5 + 3i)-(2 + 9i)=(5 - 2)+(3i-9i)\)

Step2: Subtract the imaginary parts

\(5-2 = 3\) and \(3i-9i=-6i\)

Answer:

\(3-6i\) which corresponds to option C.