All categories

2 years ago

The function y=-16x^2+16x+32 represents the height in feet of a firework x seconds after it is launched

Mathematics

1 answer:

Nadya [2.5K]2 years ago

8 0

Answer:

36feet

Step-by-step explanation:

Since we are not asked what to find, we can as well find the maximum height reached by the rocket

At max height, velocity is zero

V = dy/dx = 0

dy/dx = -32x + 16

0 = -32x+16

32x = 16

x = 16/32

x = 0.5s

Get the maximum height

y = -16(0.5)^2+16(0.5) + 32

y = -4+8+32

y = 36feet

Hence the max height reached by the rocket is 36feet

You might be interested in

You and a friend start riding bikes toward

Setler [38]

Answer:

1.5 hours

I traveled farther

2 miles

Step-by-step explanation:

$\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}$

My speed

$\dfrac{2\dfrac{1}{6}}{\dfrac{1}{4}}=\dfrac{\dfrac{13}{6}}{\dfrac{1}{4}}=\dfrac{26}{3}\ \text{mph}$

Speed of my friend

$7\dfrac{1}{3}=\dfrac{22}{3}\ \text{mph}$

Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let $t$ be the time taken to meet

$\text{Distance}=\text{Speed}\times\text{Time}$

$\dfrac{26}{3}t+\dfrac{22}{3}t=24\\\Rightarrow \dfrac{48}{3}t=24\\\Rightarrow 16t=24\\\Rightarrow t=\dfrac{24}{16}\\\Rightarrow t=1.5\ \text{hours}$

So, we meet each other after 1.5 hours.

Distance traveled by me

$\dfrac{26}{3}\times 1.5=13\ \text{miles}$

Distance traveled by my friend

$\dfrac{22}{3}\times 1.5=11\ \text{miles}$

So, I traveled farther by $13-11=2\ \text{miles}$ .

7 0

2 years ago

10.

Neko [114]

Answer:

if you add 14 to 1750 you will get 1764 which equals 42²

Step-by-step explanation:

4 0

2 years ago

What is the measure of AngleJHG?

Doss [256]

There is no attachment so we don’t know what this angle is.

5 0

3 years ago

Solve for x. x + 3 = 10

ICE Princess25 [194]

Answer:x=7

Step-by-step explanation:

X+3=10

-3 -3

X=7

5 0

3 years ago

Read 2 more answers

How do you get a34 from a=-11+7n

marissa [1.9K]

Answer:

Step-by-step explanation:

34=-11+7A

We move all terms to the left:

34-(-11+7A)=0

We add all the numbers together, and all the variables

-(7A-11)+34=0

We get rid of parentheses

-7A+11+34=0

We add all the numbers together, and all the variables

-7A+45=0

We move all terms containing A to the left, all other terms to the right

-7A=-45

A=-45/-7

A=6+3/7

6 0

2 years ago