contestada


In an effort to catch a criminal; a superhero is going to leap over a building and take a short cut down the ally. The function f(x)-16x^2+150 gives the superhero's height in feet as a function of time. The building is 425 feet high. Will the superhero make it over the building?
A. Yes, the superhero always makes it!
B.No, the superhero can only jump half the height of the building
C) No, the superhero will crash into the building at 351 feet
D)No, the superhero can only jump 150 feet into the air

Respuesta :

xviviienx

Answer:

C

Step-by-step explanation:

Figure out the maximum height:

Use the formula -b/2a

-150/2(-16)=4.6875

Plug 4.6875 as x

f(x)= about 351

Using the vertex of the quadratic equation, the correct option is:

D)No, the superhero can only jump 150 feet into the air.

-----------------------------

The height of the superhero after x seconds is given by:

[tex]f(x) = -16x^2 + 150[/tex]

Which is a quadratic equation with coefficients a = -16, b = 0, c = 150.

The maximum value he will reach is the value of f at the vertex, which is:

[tex]f_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Applying the coefficients:

[tex]f_{MAX} = -\frac{0^2 - 4(-16)(150)}{4(-16)} = 150[/tex]

Thus, his maximum height is of 150 feet, and the correct option is:

D)No, the superhero can only jump 150 feet into the air.

A similar problem is given at https://brainly.com/question/24626341

Otras preguntas