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Lostsunrise [7]
4 years ago
12

Order the equations from least to greatest based on the number of solutions to each equation.

Mathematics
2 answers:
DanielleElmas [232]4 years ago
8 0
Hello,
Please, see the attached files.
Thanks.

Alla [95]4 years ago
7 0
In order to answer, you need to sketch the given exponential curves and straight lines and ask yourself if and when do they cross each other:

a) 2ˣ + 1 is an esponential curve with base >1 shifted up by 1;
    -3x + 6 is a straight line with negative slope, shifted up by 6;
    They cross each others only one time.

b) 3ˣ - 3 is <span>an esponential curve with base >1 shifted down by three, thus it can be negative;
    2x - 2 is </span><span> a straight line with positive slope shifted down by 2;
    They cross each others twice.

c) -4</span>ˣ - 1 is <span>an esponential curve with base >1 flipped over the x axis and shifted down by 1;
   3</span>⁻ˣ - 2 is an esponential curve with base <1 ( 3⁻ˣ = (1/3)ˣ )and shifted down by 2;
  They never cross each others.

Therefore the correct rder is:
-4ˣ - 1 = 3⁻<span>ˣ - 2
</span>-3x + 6 = 2<span>ˣ + 1
</span>3<span>ˣ - 3 = 2x - 2</span>
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