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3 years ago

A toy rocket is launched from a platform 24ft above the ground. The

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

8 0

Answer:

4 sec

Step-by-step explanation:

let y = 0 which is the height when the rocket hits the ground

-3t^2 + 6t + 24 = 0

-3(t^2 - 2t - 8) = 0

-3(t - 4)(t + 2) = 0

t = 4 or t = -2

time cannot be negative, so t = 4 sec

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PLEASE HELP!!!

AlekseyPX

Answer:

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = $\frac{m(b) - m(a)}{b - a}$

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = $\frac{4 - (-12)}{2 - (-2)}$

= $\frac{16}{4}$

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = $\frac{n(b) - n(a)}{b - a}$

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = $\frac{6 - (-6)}{2 - (-2)}$

= $\frac{12}{4}$

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = $\frac{q(b) - q(a)}{b - a}$

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = $\frac{-12 - (-4)}{2 - (-2)}$

= $\frac{-8}{4}$

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = $\frac{p(b) - p(a)}{b - a}$

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = $\frac{-4 - 12}{2 - (-2)}$

= $\frac{-16}{4}$

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

3 0

3 years ago

If Nancy needs 3/1/4 cups of oatmeal,how many 1/4 cups of oatmeal will she use

PIT_PIT [208]

The answer is 12 1/4. how I got my answer.

Their are 4 quarters to a whole, so that means all I have to do is multiply 4×3=12, then add 1/4+12= 12 1/4.

I hope this helps!

8 0

3 years ago

Solve for n.<br> - 24 -6n= -42

12345 [234]

Answer:

n=3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

There are two unknowns you are trying to find, and you cannot express one in terms of the other. Describe how you could use alge

serious [3.7K]

Answer:

When you solve systems with two variables and therefore two equations, the ... of any variable is 1, which means you can easily solve for it in terms of the other ... In the substitution method, you use one equation to solve for one variable and ... Look for a variable with a coefficient of 1 … that's how you'll know where to begin.

Step-by-step explanation:

4 0

3 years ago

Write the following decimal number in its equivalent fraction form. Show all work for full credit. 0.225

zalisa [80]

Rewrite the decimal number as a fraction with 1 in the denominator

0.225=0.22510.225=0.2251

Multiplying by 1 to eliminate 3 decimal places, we multiply top and bottom by 103 = 1000

0.2251×10001000=2251000

7 0

3 years ago

Read 2 more answers