Two rockets are launched from the ground at the same time. the height of rocket a in feet is modeled by

h(t)= -16t^2 + 128t

where t is the time in seconds after the launch. the height of rocket b in feet is shown in the graph.

which statement is true?

a. rocket a is in the air for about 2.75 s longer than rocket b

b. rocket a is in the air for about 10.75 s longer than rocket b

c. rocket b is in the air for about 2.75 s longer than rocket a

d. rocket b is in the air for about 10.75 s longer than rocket a

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

i those same problems in math and dont know how to do them

the rate of change is 25