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3 years ago

Use the function below to find f(4). f(x)= 1/3•4^x

Mathematics

1 answer:

kenny6666 [7]3 years ago

5 0

Answer:

f(4) = 85 1/3 or 85.333...

Step-by-step explanation:

To find f(4), you must substitute 4 in place of x whenever x appears:

f(x) = $\frac{1}{3}$ * $4^{x}$

f(4) = $\frac{1}{3}$ * $4^{4}$

Next, simplify the exponent:

f(4) = $\frac{1}{3}$ * 256

Finally, multiply:

f(4) = 85 1/3 or 85.333...

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daser333 [38]

Answer:

See attachment for plot

Step-by-step explanation:

Given

$y =2x$

$R =+2$ --- increment in the rate

First, we need to model the new rate

A linear equation is:

$y = mx + b$

Where

$m = rate$

Compare $y =2x$ and $y = mx + b$ . we have:

$m =2$

The above represents the previous rate.

The new rate:

$R =+2$

Rewrite as:

$R = m+2$

$R = 2+2$

$R = 4$

So, the model is:

$y = Rx$

$y = 4x$

The plot at 1 and 2 minutes

When $x = 1$

$y = 4x = 4 * 1 = 4$

When $x = 2$

$y = 4x = 4 * 2 = 8$

So, we have:

$(x_1,y_1) =(1,4)$

$(x_2,y_2) =(2,8)$

Whether she moves backwards or forward, the distance covered remains the same

See attachment for plot

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