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3 years ago

Consider the Piece-Wise graph described by the following equation:

Mathematics

1 answer:

Scilla [17]3 years ago

8 0

Answer:

Hey, Dalilah. I hope I'm not too late, but the answer is (3,5).

Step-by-step explanation:

You have to use the equation that includes the x value of 3.

4x+1 only includes x values that are less than 3.

2x-1 includes x values that are greater than or equal to 3.

I plugged 3 into both of these equations (4x+1; x < 3 & 2x-1; x ≥ 3) in order to see which equation would've been true.

4(3)+1 = 13; 13 < 3 [False] 13 isn't less than 3 -- and 2(3)-1 = 5; 5 ≥ 3 [True] 5 is greater than or equal to 3.

Since the equation 2(3)-1; 5≥3 is true, you should use this equation. I used Demos in order to graph Y=2(3)-1. At the bottom of that I put x=3, and it showed me (3,5).

I'll post the pictures for proof and better clarification if this is confusing, love.

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3 years ago

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2 years ago

Larissa argued that since log2(2) = 1 and log2(4) = 2, then it must be true that log2(3) = 1.5. Is she correct?

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Answer:

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Step-by-step explanation:

To solve logarithms, we have to consider the following:

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3 years ago

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Answer:

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Step-by-step explanation:

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