Find the slope intercept form of the equation of the line going through point (2,-1) with a slope of 1/4
y=1/4x-3/2
100
Write the standard form of the quadratic function that has a vertex at (1,-4) and goes through point (2,-3)
f(x)=-3/4(x-1)-4
100
Use the law of sines to solve the triangle where A=32° B=50° a=16 round to two decimal places
b=23.13 C=98° c=29.89
100
find the standard form of a circle with a center at the origin and a point at (-3,-4)
x^2+y^2=25
100
find the standard form of the equation of an elipse with vertices (-3,0) (7,0) and foci (0,0) (4,0)
(x-2)^2 / 25 + (y)^2 / 21= 1
200
Find the slope intercept form of the equation of the line that passes through points (2,-1) and (4,-1)
y=-1
200
A company's profit per week is shown by the function P=1.75x-(0.0005x^2+500) Determine the number of songs that they would need to sell to maximize profits
1750 songs
200
find the area of a triangle where A=27° b=5 c=8
Area=9.08 units squared
200
Write the equation of 16x^2 +16y^2-16x+24y-3=0 in standard form and identify the center and radius
(x-8)^2 + (y+12)^2=13.2
200
use the law of sines to solve a triangle with sides A=15° a=5 b= 10 round to one decimal place
B=58.8° c=18.55 C=106.2
300
evaluate the function f(x)=x^2 + 1 for f(8)
65
300
use leading coefficient test to determine left and right hand behavior of the function -x^2+6x+9
Falls to the left, rises to the right
300
From a distance of 50 meters the angle of elevation to the top of a building is 17°. Approximate the height of the building.
The building is 15.3 meters tall
300
find the x and y intercepts of the graph of (x-3)^2 + (y+1)^2= 7
x-int=(0,-3+√6) and (0,-3-√6) No y-ints
300
find the area of a triangle where C=122° b=18 a=29 round to 2 decimal places
area=221.34 square units
400
Evaluate the equation f(x)=2x+1 for the value f(12)
25
400
find the zeros of x(x+3)^2 algebraically
x=0, x=-3 k=2
400
Use the law of cosines to solve the triangle where a=18 b=12 c=15
C=55.78°, B=41.4° A=82.82°
400
find the vertex, focus and directrix of 4x-y^2=0
Vertex=(0,0) focus=(16,0) Directrix=x=-16
400
use the leading coefficient test to find right and left hand behaivor for the function g(x)=3/4(x^4+3x^2+2)
rises to the left, rises to the right
500
Find the domain of x-1/x+2
(-∞,-2)u(-2,∞)
500
Find a polynomial function that has the given zeros -2,1,1,5
x^4-5x^3-3x^2+17x-10
500
use heron's formula to find the area of a triangle with side a=4 b=5 c=7
area = 4√6 square units
500
find the standard form of the equation of a parabola with vertex (0,0) and focus (-6,0)
y^2=-(3/2)x
500
determine whether f(x)=x^2+6 is even odd or neither