When
, the slope of the tangent line is
. The equation of the tangent line in point-slope form is then
Answer:
x = 15
Step-by-step explanation:
Given
See attachment
Required
Find x
The figure in the attachment is a quadrilateral and the angles in a quadrilateral add up to 360.
So, we have:
90 + 6x + 5+ 10x - 40 + 4x + 5 = 360
Collect like terms
6x + 10x + 4x = 360 - 90 - 5 + 40 - 5
20x = 300
Divide both sides by 20
x = 15
Hence, the value of x is 15
Answer:
20d
Step-by-step explanation:
its my guess, several weeks not seven so you dont know how many weeks so we use the variable d. $20 a week. multiply the $20 by the amount of weeks you get 20d
This is exponential. Start with time increments of 1. If we have 4^x, then the bacteria population triples every hour (x=0 -> 1, x=1 -> 4, x=2 -> 16, etc). Now, the problem is that is quadruples every two hours. If you substitute one hour for two, the equation becomes 4^(x/2). (Now at 2 hours, it is 4, at 4 hours, it is 16, ect). I am assuming that the population starts at 1, but it doesn't have to. Let's say the starting population at time 0 is P. Then, the population at time x would be P*4^(x/2). You can verify this for any starting population P>=0 and for any time x>=0.
