Any help please? (pre-algebra) Please provide an explanation, if not it’s fine but one would be appreciated.

Option C

Step-by-step explanation:

Height of the rocket is modeled by,

h(t) = -16t² + 125t + 24

Height of the rocket in t = 0.1 seconds

h(0.1) = -16(0.1)² + 125(0.1) + 24

         = -0.16 + 12.5 + 24

         = 36.34 feet

At t = 5 seconds,

h(0.5) = -16(5)² + 125(5) + 24

         = -400 + 625 + 24

         = 249 feet

At t = 5.6 seconds,

h(5.6) = -16(5.6)²+ 125(5.6) + 24

         = -501.76 + 700 + 24

         = 222.24 feet

At t = 7.8 seconds,

h(7.8) = -16(7.8)² + 125(7.8) + 24

         = -973.44 + 975 + 24

         = 25.56 feet  

Therefore, change in height is maximum at t = 5.6 seconds

Option C will be the answer.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w