Answer:
Part 1) The rate of change of the linear function is
Part 2) The initial value is -4
Step-by-step explanation:
Part 1) Find the rate of change
we know that
The rate of change of the linear function is the same that the slope of the linear function
To determine the slope we need two points
Looking at the graph
take the points (0,-4) and (3,-3)
The formula to calculate the slope between two points is equal to
substitute the values
therefore
The rate of change of the linear function is
Part 2) Find the initial value
we know that
The initial value or y-intercept is the value of y when the value of x is equal to zero
Looking at the graph
when the value of x is equal to zero
The value of y is equal to -4
so
The y-intercept is the point (0,-4)
therefore
The initial value is -4
You would probably need a little larger sample of people because not all people wear corrective lenses. In almost any other survey, this would be a scientist’s dream, but in this one, you’d need it to be a little bigger.
I did it but I don’t know how to put the picture
Answer:
A 3 x 4 x 8 inch triangle
Step-by-step explanation:
duh
Answer:
37.8metres
Step-by-step explanation:
The arc of the arrow can be modeled by the equation:
y=-0.02x²+0.65x+4
Where x is the horizontal distance (in meters) from Linda and y is the height (in meters) of the arrow.
The arrow hits the ground when its height (y) is zero.
Therefore, we determine the value(s) of x for which:
y=-0.02x²+0.65x+4=0
Using a calculator to solve the quadratic equation:
x=37.79 or -5.29
Since the distance cannot be a negative value, we ignore -5.29.
The distance from Linda when the arrow hits the ground is 37.8metres (to the nearest tenth)