<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:
A. y = -3/2x + 1
B. y = -5/3x + 10
C. y = -x + 6/5
Step-by-step explanation:
A. You just have to isolate the y so divide by 4: y = -3/2x + 1
B. 3y = -5x + 30
Divide by 3: y = -5/3x + 10
C. -5x + 6 = 5y
Divide by 5: -1x + 6/5 = y OR y = -x + 6/5
The formula for area in terms of radius is
... A = πr²
Solving this for r, we get
... A/π = r²
... r = √(A/π) . . . . . formula for the radius
For your given area, the radius is approximately
... r = √(401.92/3.14) = √128 = 8√2
... r ≈ 11.3 . . . yards
Mean: 11.4
Median: 7
Mode: there isn't one
Mean: 1+5+7+12+32=57 57÷5=11.4
Median: 1, 5, 7, 12, 32. 7 is the middle number.
Mode: there isnt a number that repeats itself.
angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
What in mathematics is a parallelogram?
- A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal).
- A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.
Slope Formula: y2-y1/x2-x1
KL: 12-7/6-2 = 5/4
LM; 13-12/13-6 = 1/7
MN: 8-13/9-13 = 5/4
KN: 7-8/9-2 = 1/7
Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
Learn more about parallelogram
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