X Marks The Spot
(Solve!)
(Solve!)
\sqrt(x-1)=3-x
What is
x=2 (x=5 is extraneous)
6/(1-(-7/8)
What is
16/5
The vertex form of
y=2x^2-8x+1
What is
y=2(x-2)^2-7
A gourmet donut shop sells 600 donuts a day if they charge $5 a donut. For every $.50 increase in price, they sell 40 fewer donuts. This is the price they should charge for a donut to maximize their profit.
What is
$6.25
The general expression for the nth term of the sequence
500,425,350,...
What is
a_n=500-75(n-1) or
a_n=575-75n
x^2+144=0
What is
x=12i,x=-12i
(4a^2b^9)/(2a^(-1)b^4)^3
What is
a^5/(2b^3)
The equation of the parabola with focus (3,-4) and directrix y=0
What is
y=-1/8(x-3)^2-2
How long it will take to quadruple your money if you invest it at a rate of 8% compounded monthly.
What is
17.39 years
The sum of the first 20 terms of the sequence
3, 3 1/2, 4,4 1/2,...
What is 155
(1/9)^(6+x)=27^x
What is
x=-12/5
\sqrt(-5)\times3\sqrt(-50)
What is
-15\sqrt(10)
The direction the parabola opens if it has a focus at (1,-9) and directrix x=5.
What is
left
How long it will take a $4000 investment to become $7000 if it's compounded continuously at a rate of 6.2% per year, rounded to the nearest hundredth of a year.
What is 9.03 years?
The general expression for the nth term of the sequence
5,-5/4,5/16.-5/64,...
What is
a_n=5(-1/4)^(n-1)
15e^(2-x)+7=52
What is
x=2-ln3
(2+3i)/(2-i)
What is
1/5+(8i)/5
The number of real zeros a parabola with b^2-4ac>0 has.
What is
2
The maximum height a ball will reach if it is thrown up with initial velocity 7m/s and initial height 3m according to the equation h(t)=-10t^2+7t+3
What is
4.225 or 169/40 meters
The value of the infinite series:
3+9+15+21+...
2ln5+ln7-lnx=1
What is
175/e
(2x^3+10x^2-48x)/(x^2+8x)
What is
2x(x-3)
x\ne0,x\ne-8
The sign of the discriminant and the sign of a, in that order, for a parabola that opens down and has two real zeros.
What is positive (discriminant) and negative (a)
The amount of time, rounded to the nearest hundredth of a second, that a ball will stay in the air before it hits the ground if it is thrown with an initial velocity 5(ft)/s and height 1 ft according to the equation h(t)=-16t^2+5t+1
What is
.45 s
The value of the infinite series:
100+20+4+...
What is 125