- A ball is shot into the air (#3415)
A ball is shot into the air. It's height , h in metres after t seconds is modeled by h=-4.9t2 + 30t +1.6...
solving equations, quadratic equations, solving quadratic equations, equations
- A balloon is rising from the ground (#457)
A balloon is rising from the ground at 4 feet per second. Another balloon is at 756 feet and descending at 3 feet per ...
substitution method, solving quadratic equations, quadratic equations, solving equations, equations
- A framer at a photo gallery (#516)
A framer at a photo gallery wants to frame a print with a matte of uniform width all around the print. To make it pleasing to the eye, the area of the matte should equal the area of the print. If the print measures 40 cm by 60 ...
solving equations, solving quadratic equations, quadratic equations, equations
- A model rocket is shot into the air (#3116)
A model rocket is shot into the air and its path is approximated by h = -5t2 + 30t where h is the height of the rocket above the ground in metres and t is the elapsed time in ...
solving quadratic equations, quadratic equations, solving equations, equations
- A motor boat travels (#2261)
A motor boat travels 400km. If the boat went 18km/h faster, it could have traveled 600 km in the same amount of ...
completing the square, solving quadratic equations, quadratic equations, solving equations, equations
- A parallelogram has a base (#2178)
A parallelogram has a base of length 2x +1 and a height of x+3 and has an area of 42 square units. Find the base and height of the parallelogram. (A=BH)
solving quadratic equations, quadratic equations, solving equations, equations
- A rectangle corral is to be built (#2014)
A rectangle corral is to be built using 70m of fencing. If the fencing has to enclose all four sides of the ...
solving equations, quadratic equations, equations, solving quadratic equations, completing the square
- Ahmed has first half of a treasure map (#1104)
Ahmed has first half of a treasure map, which indicates that the treasure is buried in the desert (2x + 6) paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must go to the Castle Rock, walk ‘x’ paces to the North, and then walk (2x + 4) paces to the East. If they share their information, then they can find ‘x’ and save a lot of ...
completing the square, solving quadratic equations, quadratic equations, solving equations, equations
- completing the square (#505)
The path of the ball for many golf shots can be modeled by a quadratic function. The path of a golf ball hit at an angle of about 10 degrees to the horizontal can be modeled by the function, h= -0.002d2 + 0.4d, where h is the height of the ball, in meters, and d is the horizontal distance the ball travels, in meters, until it first hits the ground.
a) What is the maximum height reached by the ball?
b) What is the horizontal distance of the ball from the golfer when the ball reaches its maximum ...
completing the square, solving quadratic equations, quadratic equations, solving equations, equations
- completing the square (#737)
change to vertex-axis form by completing the square
f(x)=x2+4x-5
completing the square, solving quadratic equations, quadratic equations, solving equations, equations
- Frank`s Specialty Coffees makes (#1030)
Frank's Specialty Coffees makes a house blend from two types of coffee beans, one selling for $9.05 per pound, and the other selling for $6.25 per pound. His house blend sells for $7.37 per pound. If he is using 9lb of the 6.25/lb beans, how many pounds of the $9...
substitution method, solving quadratic equations, quadratic equations, solving equations, equations
- How do the Quarter Pounder and Whopper (#422)
How do the Quarter Pounder and Whopper with cheese measure up in the calorie department? Actually, not too well. Two Quarter Pounders and three whoppers with cheese provide 2607 calories. Even with one of each provides enough calories to bring tears to Jenny Crag's eyes-9 calories in excess of what is allowed on a 1000 calories-a-day ...
substitution method, solving quadratic equations, quadratic equations, solving equations, equations
- One positive integer is 8 less (#816)
One positive integer is 8 less than twice another and the sum of their squares is 244
equations, systems of equations, solving quadratic equations, solving systems of equations, quadratic equations, solving equations, systems
- Suppose you decide to move your garden (#892)
Suppose you decide to move your garden away from the house, so you have to use 50 feet of fencing for four sides. The length of the garden must be twice as long as the width. If the area is now 139 feet ...
equations, solving equations, quadratic equations, completing the square, solving quadratic equations
- The difference of a positive number (#3073)
The difference of a positive number and its square is -30...
completing the square, solving quadratic equations, quadratic equations, solving equations, equations
- The height of a batted baseball as a function of time (#3535)
The height, H metres, of a batted baseball as a function of time, t seconds, since the ball was hit can be modeled by the relation H=-2.1(t-2.4)2+13.
a) what was the maximum height of the ball?
b) at what time after it was first hit did the ball reach its maximum height?
c) how far off the ground was the ball first ...
equations, solving equations, completing the square, quadratic equations, solving quadratic equations
- The length of a rectangle is 4 feet longer (#1400)
The length of a rectangle is 4 feet longer than twice its width. If the area is 96 square ...
solving quadratic equations, quadratic equations, solving equations, equations
- The perimeter of Mrs. McCord`s rectangular garden (#734)
The perimeter of Mrs. McCord's rectangular garden is 100 feet. If the length is 1.5 times longer than the ...
substitution method, solving quadratic equations, quadratic equations, solving equations, equations
- The sum of two numbers (#264)
The sum of two numbers is 42. The difference is 14...
substitution method, solving quadratic equations, quadratic equations, solving equations, equations
- The sum of two numbers (#395)
The sum of two numbers is 26 and their difference is ...
substitution method, solving quadratic equations, quadratic equations, solving equations, equations
- What value of c makes (#2990)
What value of c makes x2-x+c a perfect square?
completing the square, solving quadratic equations, quadratic equations, solving equations, equations
- You are selling tickets for a high school basketball game (#1127)
You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450...
substitution method, solving quadratic equations, quadratic equations, solving equations, equations
- You have made a quilt (#522)
You have made a quilt that is 4 feet by 5 feet. You want to use the remaining 10 square feet as a decorative border of uniform ...
solving quadratic equations, completing the square, quadratic equations, solving equations, equations
