Two tubes, working together, can fill the reservoir with the liquid in 12 hours.
The larger tube, if works separately, can fill the reservoir in 18 hours less than the smaller tube.
How long will it take to fill the reservoir using the smaller tube only?
What is Smaller tube fills the reservoir in 36 hours.
100
solve x2+10x+25=49 by using the square root property
What is x=-5+7 or x=-5-7
x=2 x=-12
100
Solve x(x – 2) = 4. Round your answer to two decimal places.
What is x(x – 2) = 4
x2 – 2x = 4
x2 – 2x – 4 = 0
Then the answer is: x = –1.24, x = 3.24, rounded to two places
200
find the maximum or the minimum of f(x)=x^2-4x+9
What is x=2
200
Solve x^2 – 8x + 15 = 0 by graphing
What is x = (3,5)
200
Well, suppose you have a quadratic equation that can be factored, like
x2+5x+6=0.
What is (x+2)(x+3)=0.
So the solutions must be x=-2 and x=-3.
200
solve x2-6x+9=32 using the square root property
What is x=8.7 x=-2.7
200
Solve 9x2 + 12x + 4 = 0.
What is This solution is called a "repeated" root, because x is equal to –2/3, but it's equal kind of twice: –2/3 + 0 and –2/3 – 0. You can also see this repetition better if you factor: 9x2 + 12x + 4 = (3x + 2)(3x + 2) = 0, so x = –2/3 and x = –2/3. Any time you get zero in the square root of the Quadratic Formula, you'll only get one solution.
The parabola only just touches the x-axis at x = –2/3
300
four hundred people came to last yrs winter play at Sunnybrook HS. The ticket price was $5. This yr, the Drama Club is hoping to earn enough money to take a trip to a Broadway play. They estimate that for each $.50 increase in the price, 10 fewer people will attend their play.
What is their maximum income for the play?
What is the Drama Club should make 15 price increases of $.50 to maximize their income.
300
solve 0.3x2 – 0.5x – 5/3 = 0 by graphing
What is x = –5/3, 10/3
300
what are the roots?
Solve (x – 3)(x – 4) = 0.
What is x = 3, 4
300
find the value of c that makes x2+12x+c a perfect square. write as a trinomial perfect square.
What is x2+12x+36
300
Solve x2 + 2x = 1. Round to two decimal places.
Letting a = 1, b = 2, and c = –1, the Quadratic Formula gives me:
x = -2.414, x = 0.414
Then the answer is x = –2.41, x = 0.41, rounded to two decimal places.
400
f(x)=3/4x^2-5x-2
What is minimum; -(31/3)
400
A motorboat makes a round trip on a river 56 miles upstream and 56 miles downstream, maintaining the constant speed 15 miles per hour relative to the water.
The entire trip up and back takes 7.5 hours.
What is the speed of the current?
What is The speed of the current is 1 mile/hour
400
y=2k - 11k + 5
find the roots and zeros
What is roots=(x-5)(2x-1) zeros= -5,-1
400
solve x2+8x-20=0 by completing the square
What is x=2
400
Solve x + 2x – 24 = 0
by using the quadratic formula.
What is
The solutions are 4 and –6.
500
the shape of each arch supporting the Exchange House can be modeled by h(x)= -0.025x^2 + 2x, where h(x) represents the height of the arch and the x represents the horizontal distance from one end of the base in meters.
according to this model, what is the max. height of the arch?
What is 40m
500
Andrew and Bill, working together, can cover the roof of a house in 6 days.
Andrew, working alone, can complete this job in 5 days less than Bill.
How long will it take Bill to make this job?