Answer: If the quadratic equation has real, rational solutions, the quickest way to solve it is often to factorise into the form (px + q)(mx + n), where m, n, p and q are integers. This is especially true where the coefficient of x2 is 1.
Example 1 - Solve x2+7x+12=0
Step-by-step explanation:
that's the only one I remember
Answer:
x = 1/3 ln(2)
Step-by-step explanation:
e^(3x)+6=8
Subtract 6 from each side
e^(3x)+6-6=8-6
e^(3x) = 2
Take the natural log of each side
ln (e ^3x) = ln (2)
3x = ln(2)
Divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
The percentage of the radioactive isotope left is 25.0000%.
<h3>What is the half life?</h3>
The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.
Now;
We are told that;
Half life (t1/2) = 55 days
Time taken (t) = 115 days
Ratio of isotope remaining = N/No
Thus;
N/No = (1/2)^t/t1/2
N/No = (1/2)^115/55
N/No = (1/2)^2
N/No =1/4
Hence, the percentage = 1/4 * 100/1 = 25.0000%
Learn more about half life of an isotope:brainly.com/question/16387602
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Answer: 3.65
Step-by-step explanation:
This question is asking basically what is 50% or 1/2 of 7.3.
Let's expand the number 7.3
Then, we end up getting 7.30.
We have to find 1/2 of 7.30.
of 7.30 = 
Hope this helps you!
All angles in a triangle add up to 180
180 = 9 + 15 + 2x - 1 + 3x
180 = 24 - 1 + 2x + 3x
180 = 23 + 5x
180 - 23 = 5x
157 = 5x
Divide both sides by 5
X = 31.4 or 157/5