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quester [9]
4 years ago
8

Sam looked at two points that were graphed on a vertical number line. He saw the points −2 and 1.5. He wrote the following descr

iption:
"I am looking at a vertical number line that shows the location of two specific points. The first point is a negative number, so it is below zero. The second point is a positive number, so it is above zero. The negative number is −2. The positive number is 1/2 unit more than the negative number."

Determine if you agree or disagree with the representation. Then, defend your stance by citing specific details in your writing.

Mathematics
1 answer:
yawa3891 [41]4 years ago
6 0

Answer:

The correct statement would be: The positive number is 1/2 unit less than the opposite of the negative number.

Step-by-step explanation:

All stamemts are true except for the last one:

<em>The positive number is 1/2 unit more than the negative number.</em>

We can see in the plot that 1.5 is above zero and -2 is below zero.

So, -2<1.5

The opposite number of -2 is 2 and we can see that opposite number is 1/2 greater than 1.5. So, -2<1.5<2

<em />

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F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

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Step-by-step explanation:

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Step-by-step explanation:

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