Look what stress does. I submitted the wrong problems to you for help. Please help me with the following 18 problems - I submitted the incorrect problems.
#17)
2x + 3
--------
x^2 - 16
#33)
w^2 - 49
---------
w + 7
#77)
2x^12
-------
4x^3
#87)
-2x - 4
-----------
x^2 - 5

A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.

Consider two linear function: f(x) and f -1(x), their lines intersect at a point with a x-coordinate of 10 and the slope of f(x) is 1/2
*Find the SI equation
*Find x= f -1 (y) then express the inverse function in terms of x: y = f-1(x)
*graph the two lines on the same set of axes, clearly showing all four x and y interce

Hi, I need some assistance with all the attached questions. I am not too sure how to answer them and a step-by-step working guide for each question would really help me in understanding these problems. These are all linear algebra problems.

Should algebra be taught to everyone? Who should study algebra? The statements below serve as possible answers to these questions and are only 'food for thought.' I welcome your constructive ideas and comments on one or several of them.
Whether you agree or do not agree, the study of algebra is good for the brain. The b

Bottle A contains an 80% acid solution. Bottle B contains a 20% solution of the same acid. How many cc from bottle B should be mixed with solution from bottle A to make 40 cc of a mixture which is 40% acid?

Determine if the following equation has a solution or not? Justify your answer.
√2x^2 - 4x - 7√2 = 0
I figured that you have to multiply both sides by 1/2 to cancel the square roots. The equation then becomes x^2 - 2x - 7 = 0.

Initial deposit was 2,000 for 5 years at a rate of 8 percent. If a bank compounds continuously, then the formula used is A= Pe rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round the answer to the hundredths place.

1) Find the eigenvectors and eigenvalues of the matrix A. Hence find the matrix P and a diagonal matrix D such that A = P^?1 DP and compute A^100 (see attached).
2.i) Verify the Cayley-Hamilton theorem for the matrix A.
ii) Compute the minimal polynomial of a matrix A and decide whether the matrix is diagonalizable or not.

106. Worker efficiency. In a study of worker efficiency at Wong
Laboratories it was found that the number of components
assembled per hour by the average worker t hours after
starting work could be modeled by the formula
N(t) = 3t^3 + 23t^2 +8t.
a) Rewrite the formula by factoring the right-hand side
completely.
b) Us