What is the slope of y = -x + 7?

Mathematics

1 answer:

Eddi Din [679]2 years ago

5 0

Answer:

-1

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = -x + 7

m = -1

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NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t

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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

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The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

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Using the quadratic formula, the solution for our problem is

$\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}$

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have