4k(3n+2) this is basically just factoring out a common multiple which in this case is a k and a 4
Answer:
To find the x-intercept, substitute in 0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s): (18,0)
y-intercept(s): (0,-3)
Step-by-step explanation:
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Answer:
3 ln(1-x) - 3 ln3 - 3 ln x
Step-by-step explanation:
We have the following logarithmic expression.
ln(1-x/3x)³
We apply the logarithm power rule.
3 ln(1-x/3x)
We apply the logarithm quotient rule.
3. [ln(1-x) - ln 3x]
We apply the logarithm product rule.
3. [ln(1-x) - (ln3 + ln x)]
3. [ln(1-x) - ln3 - ln x]
We apply the distributive property.
3 ln(1-x) - 3 ln3 - 3 ln x
Let x = number of students enrolled in both Science and Arts.
Then the number of students taking Science only is 17 – x and,
the number of students taking Arts only is 19 – x.
We know that
Total # of students in class = # Science only + # Arts only + Both Arts & Sciences + # Any
= (17 – x) + (19 – x) + x + 2
= 38 + x
This should be equal to 30 as given. So,
38 – x = 30
Subtract 38 from both sides:
–x = –8
So x = 8.
Answer: 8
