If 32, 24, 18, ... are the first three terms of a geometric sequence, then the value of the fifteenth term to the nearest hundreth is ___________
What is 0.57
100
Solve |4-x|=−2x−10
What is x=−14.
100
cosθ=-3⁄5, for 90°≤θ≤180°. Find sinθ.
What is 4⁄5
100
The range of the function y=−2(x−1)2+8 is _____
What is y≤8, y∈ℜ.
100
State all of the intercepts of y=|−x2-6x-5|
What is (−5,0), (−1,0) and (0,5)
200
As a part of a new training routine, Sutton does some burpees. On the first day, she does eight burpees. Each day she increases the number of burpees by 3. How many does she do on the 19th day?
What is 62.
200
Solve 1⁄(x2−9)=4⁄(x−3)−2⁄(x+3)
What is x=−17⁄2
200
In triangle ABC, ⟨A=48°, b=6cm, c=8cm. Which law would you use to find a?
What is Law of Cosine
200
The coordinates of the vertex of the graph of the function g(x)=x2−4x+11 are ______
What is (2,7).
200
Express f(x) as a piecewise function when
f(x)=|2(x+2)2−8|.
What is
{2(x+2)2−8, x<−4, x>0},
{−2(x+2)2−8, −4≤x ≤0}
300
A quantity of liquid chemical contains 50g of impurities. Each time this quantity of chemical passes through a filter, 10% of the impurities present are removed. After passing through the filter 5 times, the number of grams of impurities remaining in the liquid chemical is...
What is 29.5g.
300
Solve −5x2−5x+30>0
What is −3<x<2
300
In triangle ABC, ⟨A=45°, ⟨B=30°, AB=16cm, find BC to the nearest tenth.
What is 11.7cm
300
The shortest side of a right angled triangle is 7cm less than the second shortest side. The sum of the squares of those two sides is equal to 289cm2. What is the perimeter of the triangle?
What is 40cm.
300
f(x)=x2−3x+2. Find the equation(s) of the asymptote(s) for 1⁄f(x).
What is x=2, x=1.
400
The sum of the infinite geometric series t+t2+t3+t4+.... is 4t, t≠0. The value of t is ________
What is 3⁄4
400
Solve the system of equations
y=6x2+7x−4
y=2x2−x+1.
What is (1⁄2,1) and (−5⁄2,16).
400
Triange ABC has sides of length 12, 20, and 29cm. To the nearest degree, what is the measure of the smallest angle of the triangle?
What is 19°.
400
Fully factor 2(x+2)2−9(x+2)−5.
What is (2x+5)(x−3).
400
For f(x)=x+3, state the invariant points for f(x) and its reciprocal.
What is (−4,−1) and (−2,1)
500
The third term of a geometric series is 4⁄3, and the sixth term is 32⁄81. Find the sum to infinity.
What is 9.
500
Solve −2(x−3)2(3x+4)(x−8)≤0 and write your solution in interval notation.
What is (−∞,−4⁄3 ]∪[3,∞).
500
Triangle ABC has a=7cm, b=15cm, and ⟨A=26°. Find ⟨B to the nearest degree.
What is 70° or 110°
500
Solve √(2x+4)−2=√(x)
What is x=0, x=16 and x≥0.
500
For the function f(x)=2x2+8x+6, find the domain and range for the reciprocal of f(x).