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3 years ago

6

Adam says he can walk 20 feet to the left, then 20 feet to the right and be back in his original position. Is Adam correct? Why

or why not?

2 answers:

Alex787 [66]3 years ago

6 0

Yes Adam is correct because he went 20ft to the left (20) and the 20ft to the right (-20) if you add these two numbers together 20+(-20) it would equal 0. I hope this helped ^^

Nady [450]3 years ago

5 0

Yes because if you add 20 to 0 then take 20 from 20 you end up with 0 again, 0 being where you started.

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The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

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(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

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Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

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$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

<em></em> $f(0) > g(0)$ <em></em>

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3 years ago