$98-x^2=0\qquad\text{add}\ x^2\ \text{to both sides}\\\\98=x^2\to x^2=98\\\\x=\pm\sqrt{98}\\\\x=\pm\sqrt{49\cdot2}\\\\x=\pm\sqrt{49}\cdot\sqrt2\\\\\boxed{x=-7\sqrt2\ \vee\ x=7\sqrt2}$

8 0

2 years ago

The function H(t) = −16t2 + 75t + 25 shows the height H(t), in feet, of a baseball after t seconds. Part A: After how many secon

nlexa [21]

Step-by-step explanation:

Given that,

The function that shows the height of a baseball after t seconds is given by :

$H(t)=-16t^2+75t+25$ ....(1)

Part (A).

When the baseball hits the ground,

H(t) = 0

So,

$-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s$

After 5 seconds the baseball will hit the ground.

Pat (B)

For maximum height, put dH/dt = 0

So,

$\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s$

Put t = 2.34 s in equation (1).

$H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m$

Hence, this is the required solution.

8 0

2 years ago

Anson collected 720 seashells. Then he gave 209 seashells to

vaieri [72.5K]

Answer:

18.75%

Step-by-step explanation:

720 - (209+376) =

720 - 585 = 135

135/720 = 0.1875 --> 18.75%

3 0

2 years ago