I only have 8 minutes left please help!!! The expression h(x)= -5x2 + 25x + 70 can be used to estimate the height(h), in meters, of a toy rocket x seconds after it is launched from
a platform. Substitue 0 for h in the equation, and determinehow many seconds it will take for the rocket to hit the ground? Enter the
answer that makes the most real world sense for the scenario described.

I only have 8 minutes left please help The expression hx 5x2 25x 70 can be used to estimate the heighth in meters of a toy rocket x seconds after it is launched class=

Respuesta :

Hence x is 7 seconds
Ver imagen neosei99

The time taken by the rocket will be equal to 7 seconds.

What is an equation?


It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given function is:-

h(x)  =  -5x²  +  25x  +  70

Now to find the time put h(x) equal to zero.

-5x²  +  25x  +  70 = 0

x²    -   5x    -   14   =  0

x²    -   7x  +   2x   -14    =  0

x (  x  -   7)  +  2  (  x  -  7  )  =  0

( x  -   7) (  x  +  2  )  =  0

x  =  7  and  x  =  -2  ignore negative

Therefore the time taken by the rocket will be equal to 7 seconds.

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