A ball is thrown from an initial height of 5 feet with an initial upward velocity of 37 ft/s. the balls height h (in feet) is t seconds is given by the following. h=5+37t-16t^2 find all values of t for which the balls height is 25 feet. round your answer(s) to the nearest hundredth

Given :

The ball's height is given by

Step-by-step explanation:

We need to find the value of t when height is 25 feet.

Lets substitute height h by 25  and solve for 't'

Apply quadratic formula to solve for t

Final Answer

The values of t  are t=0.86 or  t=1.45

Reference : link

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3