So, f[x] = 1/4x^2 - 1/2Ln(x)
<span>thus f'[x] = 1/4*2x - 1/2*(1/x) = x/2 - 1/2x </span>
<span>thus f'[x]^2 = (x^2)/4 - 2*(x/2)*(1/2x) + 1/(4x^2) = (x^2)/4 - 1/2 + 1/(4x^2) </span>
<span>thus f'[x]^2 + 1 = (x^2)/4 + 1/2 + 1/(4x^2) = (x/2 + 1/2x)^2 </span>
<span>thus Sqrt[...] = (x/2 + 1/2x) </span>
Answer:
If the child is currently 6 years old and the mom is 42, in three years she'll be 45 and he'll be 9
Step-by-step explanation:
The son is y and the mom is x
x=7y
x+3=5(y+3)
7y+3=5y+15
7y=5y+12
2y=12
y=6
Answer:
Step-by-step explanation:
of the candy is not m&m's.
Step-by-step explanation:
Given,
Total pieces of candy = 140
Number of m&m's = 35
Fraction = 
Fraction = 
Both 35 and 140 are multiples of 7, therefore,
Fraction of m&m's = 
As the number of m&m's fraction and not m&m's fraction will make a total of 1, therefore
fraction of m&m's + fraction of not m&m's = 1
fraction of not m&m's = 1 - fraction of m&m's
fraction of not m&m's = 
fraction of not m&m's = 
of the candy is not m&m's.
Keywords: fraction, subtraction
Learn more about fractions at:
#LearnwithBrainly
Answer:
1. 5 + y = 7
⇒ y = 7 - 5
⇒<u>y = 5</u>
2. 3.8 = a + 2.5
⇒ a = 2.5 - 3.8
⇒ <u>a = -1.3</u>
3. 5 + p = 9 1/3
⇒ p = 9 1/3 - 5
⇒ p = 28/3 - 5
⇒ p = 28/3 - 15/3
⇒ p = 13/3
⇒<u> </u><u>p = 4 1/3</u>