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1) Find the remainder when x^3+2x^2+5 is divided by x+2.__________
2) The spread of a virus in an isolated community is modeled by N(t)=1100/1+49e^-0.3t, where N(t) is the number of people infected after t days.
a) Approximately how many people will be infected in 16 days?___________
3) A ball is hit into the air. Its height, s, at time t, is given by the equation s(t)=-16t^2+74t+4. Determine the maximum height of the ball. Round to the nearest foot.
_________feet
4) Find the equation of the line passing through the point (2,-4) and having a slope of -3. Give your answer in slope-intercept form, y=mx+b
y=__________
5) Which of the following are odd degree polynomials?
a) x^3=x^2-1
b) x^7+x+1/x
c) x^3+x-5
d) x^7+x^9+x^10+4
e) (x^2+2)^5+4x
f) x(x-1)^2-5
g) x^5+1
For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.
Find the maximum height
Write two equations that have your two integers as solutions. Show how you built the equations using your integers. Solve your system of equations by the addition/subtraction method. Make sure you show the necessary 5 steps.
Graph the polynomial function.
Problem on combination
The graph of an exponential function
A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?
Solve the quadratic equation for m.
A dart board has regions worth a points and b points, where a and b are positive integers with no common factors. What is the largest point total that cannot be obtained by throwing darts at the board?
Use elimination or substitution method equations.
Calculate the average cost function.
Find an orthogonal basis
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