Linear systems
Put this into an equation: bobs pencils and twice michaels pens can fill the box of crayons that can have 25
b + 2m = 25
Max/min value of y = -5x2 + 8?
max value = 8
What is the quadratic formula used for
Determine the roots of quadratic equation in standard form
sin370
0.6
How many solutions in this linear system
y = 4x + 8
2y = 8x + 16
infinite solutions
What is the vertex of y = 2(x-4)2 + 7
(4,7)
(x + 7)(x-4) = 0
x1 = -7
x2 = 4
67.50
solve by substitution
x - 2y = -13
4x + 2y = 18
x = 1
y = 7
Complete the square. y = -4x2 + 8x +24
y = -4(x - 1) + 6
Using the quadratic formula, what is x2 + 5x + 4 = 0
x1 = -4
x2 = -1
From a point 30m from the base of a building. Bob can see the top of the building with an angle of elevation of 320 . How tall is the building?
48m
solve by elimination
3x + 5y = 17
2x + y = 9
x = 4
y = 1
A ball is thrown in the air. the equation represents how high the ball went. h = -4d2 + 8d + 2. What is the maximum height the ball reached?
h = -2(d-2)2 + 10
how long will it take to reach a maximum height of 33m given by the formula h = -3t2 + 6t + 30?
h = -3(t-1)2 + 33
Bob sees his friend out of his building window that is 25m high with an elevation of 290. How far away is bobs friend from the building.
45.1m
create a 1800ml 70% solution of alcohol with 50% and 85% alcohol
1000 ml of 40%
800ml of 85 %
A drive in theatre sells 100 tickets weekly of a price of $5 tickets. The theatre decided to raise the price of the tickets by $2. For every $2 increase, 5 tickets less would be sold. What price would maximize the revenue for tickets.
$22.50 to maximize revenue
How long for the ball to hit the ground with a formula of h = -2t2 + 12t + 35
h = -2(t-3)2 + 48
A boat left an anchor on the ocean floor stretching out 250m with an angle of elevation of 340. How deep is the body of water all the way to the boat.
139.8m