Answer:
It would be 13 questions.
Step-by-step explanation:
If you had to do questions 31 through 51 for homework it would be 13 because...
51 - 38 = 13
The slope-intercept of the line is
y= -2/3x + 2
Going up 2, left 3
Change in y
------------------
change in x
Answer:
y = -7x + 12
Step-by-step explanation:
<em>y = mx + b</em>
The <em>m </em>(slope) is -7 and the <em>y </em>is 12, substitute the numbers into the equation
This is a problem in direct variation. For every five minutes that goes by, Liz utters 225 words. The general form of an equation of direct variation is
w = k x, where w is the # of words, k is the constant of proportionality and x is the number of minutes that have elapsed.
Find k by dividing 225 words by 5 minutes, to find the number of words per minute.
Next: How many minutes are there between 10:30 a.m. and 11:15 a.m.? Calculate w=kx, using your constant of proportionality, k, and that number of minutes.
Answer:
1600. This is a maximum limit of fish the pond can host.
Step-by-step explanation:
For 
, we must take the part of this function valid for high values, i.e., the second part, where 
.
Since we have two polynoms both in numerator and denominator, and both of them are of degree 1 (both linear), for high values of 
, the main part of each polynom shall be the linear part, neglecting lower degree parts (in this case, constant terms):
This means that the number of fish in a pond has an <em>horizontal asymthote</em>. In other words, there seems to be a natural limit for the number of fish that there will be in the pond as years pass. The maximum number of fish is actually 1600. With this function, no higher than this figure can be reached. This might imply <em>limits in productivity</em>.
