Solving quadratic equations (for x-intercepts)
Solve by factoring:
x2 + 5x - 14 = 0
(x + 7)(x - 2) = 0, so x = -7 or 2
The equation h = -16t2 + 33.982t + 3.5 can be used to describe the height h of a football after t seconds of it being thrown from a machine.
What is the value of the y-intercept, and what does it represent in the context of the problem?
At 0 seconds, the ball starts at a height of 3.5 feet. This is roughly the height of the machine.
The line y = 3x + 1 passes through the point (10, 31). If y represents the amount of money in my wallet after x days, interpret the point given using words.
After 10 days, I have 31 dollars in my wallet
In the line y = -4x + 2, what is the slope?
Who has still not made up their last quiz?
Drew
Solve by factoring: 4x2 + 16x + 16 = 0
(x + 2)2 = 0, so x = -2
The equation h = -16t2 + 33.982t + 3.5 can be used to describe the height h of a football after t seconds of it being thrown from a machine.
What is the value of a, and what does it represent in the context of the problem?
a = -16, this is essentially the effect of gravity on the height of the ball
Give a point on the line and explain what it means in the context of the problem.
Answers vary
(0, 100) 0 hours since full charge, the phone is at 100%
(1, 92) 1 hour since full charge, the phone is at 92%
Line AB is parallel to line CD. Line CD has a slope of -5.
What is the slope of line AB?
-5
What sport do I play the most of?
Golf
Solve by completing the square:
x2 + 12x + 45 = 0
x = -6 ± 3i
The equation h = -16t2 + 33.982t + 3.5 can be used to describe the height h of a football after t seconds of it being thrown from a machine.
What is the value of the b, and what does it represent in the context of the problem?
b = 33.982. This represents the initial VERTICAL velocity of the ball
My water bottle has a leak in it :(
Assuming water flows out linearly according to the equation y = -2.5x + 32, the bottle will have y = 9.5 ounces remaining after how many hours?
x = 9 hours
If a line has a slope of -3, what is the slope of a line perpendicular to that one?
1/3
What fruit do I eat every day at school
apple
Solve by using quadratic formula:
2x2 + 5x - 7 = 0
x = 1 or -3.5
The equation h = -16t2 + 33.982t + 3.5 can be used to describe the height h of a football after t seconds of it being thrown from a machine.
One of the x-intercepts is (2.22, 0). What does this represent in the context of the problem?
The equation to convert from Fahrenheit to Celsius is F = 9C/5 + 32
If it is 77 degrees Fahrenheit out, what temperature would that be expressed as in Britian (and most of the rest of the world)?
25 C because 77 - 32 = 45. Then multiply by 5/9.
Line PQ is parallel to line XY. XY passes through the points (-1, 10) and (3, 18)
What is the slope of line PQ?
2
What other two math classes do I teach?
Geometry and Algebra 2
Solve by graphing:
-5.238x2 - 12.4973x + 8.88812 = 0
x = -2.95929 and 0.57339886
The equation h = -16t2 + 33.982t + 3.5 can be used to describe the height h of a football after t seconds of it being thrown from a machine.
What is the value of t at the maximum of the graph? What does this value represent in real life?
If I drop an object from a plane, its velocity can be found by the equation v = 9.8t
If t = seconds and v = velocity in meters/second, Interpret the slope of this line using words.
The velocity of a falling object will increase 9.8 meters/second every 1 second due to gravity (which we call gravitational acceleration)
Line FG is perpendicular to line HI. Line HI passes through the points (-6, 11) and (4, 31)
What is the slope of line FG?
-1/2
What grade did I teach before working here?
7th