( will give brainlyest)

Mathematics

2 answers:

Arada [10]2 years ago

8 0

Answer: 384 feet

Step-by-step explanation:

We will simplify and solve -16t² + 160t when t is equal to 4.

-16t² + 160t

-16(4)² + 160(4)

384 feet

labwork [276]2 years ago

5 0

Answer:

Step-by-step explanation:

**Note: The polynomial in question is -16t² + 160t, as clarified in the discussion under the question.**

Since there is a polynomial to find the height given a certain time, the height is a function of time.

This function would be h(t) = -16t² + 160t, so plugging in 4 for t would give the height.

$h(4) = -16(4)^2+160(4)$

$-16(16)+160(4)$ [Squaring 4]

$-256 + 640$ [Multiplying]

$384$ [Combining both terms]

Hence, the height of the firework after 4 seconds is 384 feet.

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Zigmanuir [339]

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3 years ago

Determine the domain of the function (f*g)(x) where f(x)=1/x, g(x)=√2-5x

EleoNora [17]

Answer: (∞, 0) ∪ (0, 2/5)

In other words, x is less than 2/5 but cannot include 0

Step-by-step explanation:

$f(x)\cdot g(x)=\dfrac{1}{x}\cdot\dfrac{1}{\sqrt{2-5x}}\\\\\\\text{The denominator cannot equal zero and must be a real number, so}\\x\neq 0\quad and\quad \sqrt{2-5x}>0\\\\\\(\sqrt{2-5x})^2>0^2\\.\quad 2-5x>0\\.\qquad -5x>-2\\\\.\qquad \quad x$