All categories

3 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]3 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

Give a rule of the piecewise-defined function.

nataly862011 [7]

The equation of the piecewise function is $f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right$

<h3>The piecewise function</h3>

On the graph, we have:

y = 3 for all x values not more than -1
y = -1 for all values greater than 2

Hence, the piecewise function is:

$f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right$

<h3>The domain of the function</h3>

This is the set of input values

In (a), we have:

x ≤ -1 and x > 2

Hence, the domain is (∞, 3] u (2, ∞)

<h3>The range of the function</h3>

This is the set of output values

In (a), we have:

f(x) = 3 and f(x) -1

Hence, the range is [3] u (-1)

Read more about piecewise function at:

brainly.com/question/18859540

#SPJ1

5 0

2 years ago

Pls answer all :D tysmm ill mark brainliest

jek_recluse [69]

Answer:

13= -13

14= 57

15= 216

Step-by-step explanation:

hoep this helps

6 0

3 years ago

15+x<24 what is the solution to this inequality

ra1l [238]

Move all terms not containing x to the right side of the inequality. x < 9

5 0

3 years ago

Frank paid $46 in tax on a laptop that cost $920. What percent sales tax did Frank pay?

Elena L [17]

Answer:

743627367867628718473867267462664772

Step-by-step explanation:

3 0

3 years ago

How many positive integers $n$ satisfy $ floor sqrt n floor = 5$?

Temka [501]

That's all the square roots of the form 5.xxxx. The numbers start at 5² and end at 6²-1.

So that's 6² - 5² = 11 numbers. We can list them:

25,26,27,28,29,30,31,32,33,34,35

Answer: 11

5 0

3 years ago