Search results

This is an exponential growth problem that I used to be able to figure out, but I did not keep notes on it, and in review I am stumped: A colony of bacteria starts with two bacteria at noon. If the number of bacteria triples every thirty minutes, how many bacteria will be present at 3:00pm the...

Problem: The number of bricks in the bottom row of a brick wall is 49. The next row up from the bottom contains 47 bricks, and each subsequent row contains 2 fewer bricks than the row immediately below it. The number of bricks in the top row is 3. If the wall is one brick thick, what is the...

Question: If b and c are integers such that the equation 3xsquared + bx + c= 0 has only one real root, which of the following statements must be true? 1. b is even 2. c is odd 3. bsquared is a multiple of 3. The problem is I can only guess at this one. I know that if the equation is equal to...

This problem asks: What is the middle term in the expansion of (x- 1/x)to the sixth power. The first thing I thought of was Pascal's triangle which would make the middle term 20, but the correct answer is negative twenty. I am not sure how to expand this difference of squares, using the...

This is a problem that I am not sure about. It is difficult to describe because it involves graphs of parabolas that I will describe as best I can. PROBLEM: Which of the following could be the graph of y=ax +bxsquared + c, where bsquared -4ac=0? 1. Parabola one is negative, turned downward...

I just wanted to make sure I solved this one with the correct reasoning. PROBLEM: First, I was shown some values of the function h, which is defined for all real numbers x. If h is an odd function, what is the value of c? I can't seem to duplicate the table that I was shown, here in html, but...

Problem: 9x to the 23rd power, minus 7x to the 10th power, minus 2x to the fifth power, plus 1 IS DIVIDED BY X +1. What is the remainder? I know you can solve this through synthetic division, but you must leave zeros as placeholders. There is such a range between the exponents that I end up...

Problem: F is an exponential function defined by f(x)= ab to the x power. In this problem, a and b are positive constants. If, f(5) is equal to 96 and f(7) is equal to 384, what is the value of a? I am having a hard time conceptualizing this one, but (b/a) to the x power=96 and (b/a) to the x...

PROBLEM: Log10x + log10(x-21) = 2 I converted to: log10 x(x-21)= 100 log 10 xsquared -21x=100 It didn't seem to factor, so I tried the quadratic equation. I got approximately 24 as the answer, but the book gives 25 as the answer. What did I do wrong?

I hope I am correctly following the rules on new posts, because this is a new post. What is log5 square root of 125 minus log2 square root of 2? I took the square root of 125, or approximately 11.18, and converted it to log10, or 1.048. I took the square root of 2 or approximately, 1.414, and...