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<span>Part
A:
a) What do the x-intercepts and maximum value of the graph represent?
The x-intercepts are the distances at which the ball is on the ground.
First, at x = 0, that is when the ball is kicked; second, at x = 30, when the ball falls (return) to the ground.
b) What are the intervals where the function is increasing and decreasing,
and what do they represent about the distance and height? (6 points)
The function is increasing in the interval (0, 15) and is decreasing in the interval (15,30)
The increasing interval (0,15) is the horizontal distance from the point the the ball was kicked until it reached its highest altitude, this is where the ball was going upward.
The decreasing interval (15,30) is the horizontal distance from the point where the ball reached its highest altitude until it landed on the ground, this is where the ball was falling down.
Part B: What is an approximate average rate of change of the graph from x
= 22 to x = 26, and what does this rate represent
On the graph you can read that at x = 22, f(x) ≈ 12, and at x = 26 f(x) ≈ 7.
So, an approximate rate of change from x = 22 to x = 26 is given by the equation below:
change on f(x) 7 - 12
average rate of change = --------------------- = ----------- = -5/4
change of x 26 - 22
That rate represents that the ball fell about 5 ft per 4 ft in that interval.
</span>
Answer:
David earns $10.14 per hour.
Step-by-step explanation:
David earns for an hour = $8.59
He gets benefits package that is equal to 18% of his hourly wages.
18% of 8.59
× 8.59
= 0.18 × 8.59
= $1.5462 ≈ $1.55
David's per hour earning = $8.59 + $1.55 = $10.14
David earns $10.14 per hour.
Answer:
28 million college students.
Step-by-step explanation:
We can represent all college students as x. This means that all part-time college students are 
. Because all part-time college students are also equal to 8.6 million, we have 
. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:
The left side of the equation evaluates as 
. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.
Answer:
Step-by-step explanation:
Equation of a line is given as:
y = mx + b
Where
m is the slope
and
b is the y-intercept (y-axis cutting point)
Since we know slope is -4, we can write:
y= mx + b
y = -4x+ b
Given the point (-2,7) , we can say:
x = -2
and
y = 7
Plugging these 2 values, we can solve for b:
y = -4x + b
7 = -4(-2) + b
7 = 8 + b
b = 7 - 8
b = -1
Now, we have the equation:
