F(x) = 8|x| - 5 f(-2) =

Mathematics

1 answer:

Anastaziya [24]1 year ago

6 0

Answer:

f(-2) = 11

Step-by-step explanation:

Hello!

We can evaluate y by plugging in -2 for x in the equation.

<h3>Evaluate</h3>

f(x) = 8|x| - 5
f(-2) = 8|-2| - 5
f(-2) = 8(2) - 5 Remember that absolute value turns the number positive
f(-2) = 16 - 5
f(-2) = 11

The evaluated value is 11.

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A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65m/s in 5 seconds what

artcher [175]

The acceleration is defined as the ratio between the change in velocity and the time elapsed to perform such a change.

These "changes" are indicated with the capital greek letter delta, $\Delta$ , and when you write $\Delta x$ you mean the difference between the finial and the inital values of the variable x:

$\Delta x = x_{\text{fin}} - x_{\text{init}}$

So, the acceleration is defined as

$a = \dfrac{\Delta v}{\Delta t} = \dfrac{v_{\text{fin}} - v_{\text{init}}}{t_{\text{fin}} - t_{\text{init}}}$

In this case, the initial velocity is 35, the final velocity is 65. Assuming we start the clock at the beginning of the observation, the inital time is 0 and the final time is 5. So, we have

$a = \dfrac{65-35}{5-0} = \dfrac{30}{5} = 6$ m/s^2