Lines
What is the relative position of the following lines?
y=5x-3
y=5x+3
Parallel and distinct
Find the midpoint between
A(33,7) and B(51,-3)
(42, 2)
Solve by comparison:
y=7x-2
y=-3x+8
(1,5)
What is the period of the following function?
(See periodic 1)
period=6
What is the rule of the exponential function describing this situation?
f(x)=500(1.02)x
Find the equation of a line passing through the points
A(-1, 19)
B(7,3)
y=-2x+17
Point A has coordinates (2,2).
Point B has coordinates (12, -18).
Find the coordinates of Point C, which lies 4/5 of the distance from A to B.
C(10, -14)
Solve by elimination:
2x+3y=18
6x+8y=50
(3,4)
What is the frequency of the following periodic function?
(See periodic 2)
frequency=1/7
Solve:
15(1.2)0.5x=31.104
x=8
Find the x intercept of the following line:
y= x + 17
2
(-34, 0)
Find the distance between the following points:
A(-3,1)
B(18,29)
35 units
Solve by substitution:
2x-7y=3
x=4y-1
(19,5)
Find f(31).
(See periodic 3)
The value of an investment, f(x), increases following:
f(x)=a(1.02)x,
where x is the time (years), and a is the initial value of the investment.
Find the initial amount invested if the investment was worth $53060.40 after 3 years.
The initial amount invested was $50000.
Line 2 is perpendicular to Line 1, and passes through C(0,8).
Find the equation of Line 2.
a=2x+8
Find the coordinates of a point dividing line segment AB in a ratio of 1:2.
A(1,-3)
B(-11,0)
(-3,-2)
Solve by elimination:
2x+3y=4
3x+4y=5
(-1,2)
Find f(44).
(See period 4)
A petri dish contains 15 bacteria. Their number doubles every 15 minutes.
If x is the time in hours, and y is the number of bacteria, how many bacteria will there be in 3 hours?
61440 bacteria
Lines 1 and 2 are parallel.
The equation of Line 1 is y=5x-10.
Line 2 passes through A(4, 40).
Find the x-intercept of line 2.
(-4,0)
A line has the following equation: y=-0.75x+9
Find the distance between its x-intercept and its y-intercept.
Matt Amatic's piggy bank fell and broke while he was cleaning, scattering $1 and $2 coins all over his room.
He knows that the total value of the coins is $73.
The piggy bank contained 50 coins overall.
If x is the number of $2 coins, and y is the number of $1 coins, how many coins of each type should Matt find?
23 $2 coins and 27 $1 coins.
(See periodic 5)
A small forest contains 65 trees. In a reforestation attempt, a nearby village wants to triple the number of trees every two years.
If x is time (in years), and y is the number of trees in the forest, in how many years will the forest count 47385 trees?
The forest will count 47385 trees in 12 years.