Answer:
Step-by-step explanation:
4*3^x+1=27+(3^2)^x
(3^2)^x=(3^x)^2
3^x=t
4t+1=27+t^2
t^2-4t+27-1=0
t^2-4t+26=0
delta=4^2-4*1*26=16-84=-68<0
the equation has not real solutions
Answer: 
<u>Step-by-step explanation:</u>
Blue = 5, Red = 3, Green = 2, Total = 10
Probability = First draw and Second draw
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Answer:
Step-by-step explanation:
3.57 x 10 ^ - 7 is the correct answer
The interval of the function that contains the local maximum is given by:
[0, 2].
<h3>What is the question?</h3>
The graph of the function that we want to analyze the behavior is missing. It states that:
- The function is decreasing from negative infinity to x = -0.8.
- Then the function increases from x = -0.8 to x = 1.55.
- After that, the function decreases until infinity.
<h3>What is a local maximum in a function f(x)?</h3>
A local maximum in a function f(x) is a value of x at which the function changes from increasing to decreasing.
Researching this problem on the internet, and looking at the graph, the function changes from increasing to decreasing at point x = 1.55, hence the interval that contains the local maximum of the function is:
[0, 2].
More can be learned about local maximums at brainly.com/question/13333267
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Answer:
12 hours
Step-by-step explanation:
We can set up an equation to model the situation:
y = 9x + 50
Now, we can plug in 158 as y and then solve for x:
158 = 9x + 50
108 = 9x
12 = x
