Question 2 of 5
1 answer:
The number of solutions in each equation are as follows:
- 1 solution: 4^x = 2^{-x}
- 2 solution: 3/2x + 2 = 2^{x} + 1 and 3x + 1 = 2^{-x}.
- No solution: 4^x + 2 = 3^x - 1 and 2x - 5 = 3^{x} + 2.
In order to determine the number of solutions, we would split the single equation to two different equations and then plot a graph, so as to reveal their solutions.
This ultimately implies that, the number of solutions is equal to the point of intersection between the lines of the equations plotted on a graph.
In conclusion, the number of solutions in each equation are as follows:
- 1 solution: 4^x = 2^{-x}
- 2 solution: 3/2x + 2 = 2^{x} + 1 and 3x + 1 = 2^{-x}.
- No solution: 4^x + 2 = 3^x - 1 and 2x - 5 = 3^{x} + 2.
Read more on number of solutions here: brainly.com/question/12558210
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Answer:
See the image below.
Step-by-step explanation:
The decimals 0.43 and 0.39 are equivalent to 43/100 and 39/100. These decimals lie between 0 and 1.
Draw a number line, mark off and label the multiples of 0.10(e.g 0.10, 0.20) in the interval 0-1.
Mark 0.43 between 0.4 and 0.5, a little closer to 0.4.
Mark 0.39 between 0.3 and 0.4, just behind 0.4.
Since 0.39 is smaller than 0.43( 0.39 lies on the left to 0.43), the inequality is:
0.39<0.43
