Answer:
x = -5.83, -0.17
Step-by-step explanation:
Quadratic Formula: 
Since we are given <em>a</em> = 1, <em>b </em>= 6, and <em>c</em> = 1 from our quadratic, we use the Quadratic Formula:
Step 1: Plug in variables

Step 2: Solve


Step 3: Evaluate to decimals
When you do so, you should get x = -5.82843 and -0.171573
Answer:
x= 51.3
x=35.1
Step-by-step explanation:
10.)
For this one we have the adjacent side and the hypotonouse
Which means we'll use CAH
cos(x)=25/40
x= 51.31781255
(assuming that we have to round to the nearest tenth again)
x=51.3
12.)
For this one we have the adjacent and hyptonouse
we'll use CAH again
cos(x)=27/33
x= 35.09680123
x=35.1
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.
<h3>How to determine the
number of solutions?</h3>
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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