Step-by-step explanation:
If the zeros are 5 and 9, then the equation will have the form:
y = a (x–5) (x–9)
We know the point (0, 90) is on the curve, so we can use this to find the coefficient a:
90 = a (0–5) (0–9)
90 = 45a
a = 2
y = 2 (x – 5) (x – 9)
<u>Given</u>:
The graph shows the speed of a ball in free fall for 10 seconds.
We need to determine the constant of proportionality for the given graph.
<u>Constant of proportionality:</u>
The constant of proportionality can be determined using the formula,

Where k is the constant of proportionality.
Let us consider any of the coordinate from the graph and substitute in the formula.
Consider the coordinate (4,40) and substitute in the above formula.
Thus, we have;


Thus, the constant of proportionality is 10 meters per second squared.
Answer:
<u>42 Hours.</u>
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.
Answer:
136%
Step-by-step explanation: