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WITCHER [35]
3 years ago
11

Use p = 2 and p = 8 to determine if the two expressions are equivalent. 4(2 + p) 14 + p Complete the statements.

Mathematics
1 answer:
Maru [420]3 years ago
4 0

Answer:

The expressions are not equivalent.

Step-by-step explanation:

Here we have two expressions:

4*(2 + p)

14 + p

We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.

First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.

4*(2 + 2) = 4*4 = 16

14 + 2 = 16

In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.

Now let's do it with p = 8

4*(2 + 8) = 4*10 = 40

14 + 8 = 22

Now we can see that the results are different, then we can conclude that the expressions are not equivalent.

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The attached graph represents the graph of f(x) = (x - 1)^2 - 2

<h3>How to plot the graph?</h3>

The equation is given as:

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Next, we set x to -2, -1, 0, 1 and 2.

So, we have:

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This means that the table of values is

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Next, we plot the above points and connect them.

See attachment for the graph of f(x) = (x - 1)^2 - 2

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