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

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

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!