Answer:
The equation is;
y = -1/4x + 607.5
Step-by-step explanation:
Let us have the number of drops as y axis while the number of minutes is x axis
The points to use are;
(30,600) and (130,575)
The slope can be calculated using;
m = (y2-y1)/(x2-x1)
= (575-600)/(130-30) = -25/100 = -1/4
So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)
y = -1/4x + c
To get c, we simply substitute one point
Let us use (30,600)
We have
600 = -1/4(30) + c
600 + 7.5 = c
c = 607.5
So the equation is ;
y = -1/4x + 607.5
Answer: -93.5
Step-by-step explanation:
Average of the two -94+-93/2= -93.5 so thats the midpoint
Step-by-step explanation:
To multiply the fractions, like

Multiply the top,
then multiply the bottom.

Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.
To divide fractions, like

You take the top number,

Then you flip the bottom number,

Then multiply the two

And that is your answer. Comment if you need more clarification
Answer:
The third, they are equivalent because the size of the shaded area is the same.
Answer:
The roots of the polynomial equation in this case would be the intersection of the 2 polynomial functions. which are at x = 4 and x = -3
Step-by-step explanation:
The roots are found by finding the x-values of the intersections of these two cubic polynomial functions.
We could try solving algebraically, but you have the graph.