Word problem

George has decided that a distribution of data is cubic, that is it has the general form of a function "f(x)=x^3" if the point on the curve that should be at (0,0) is found at (-3,7) and the point that should be at (1,1) is at (-2,11). What is the equation of the data distribution (hint: sketch f(x)=x^3 and the points (-3,7) and ...continues

Solving equations

For the equation, 5r-3s=24 and 3r+5s=28 solve for r and s by 1. substitution 2. elimination 3. matrix methods (except Cramer's rule) 4. Cramer's rule 5. Graphically

Word problem dealing with current and circuits.

When the switch is closed in the circuit below, the current begins to build up according to the equation: I=E/R[1-e^-(R/L)t] where I is current in amps, t is Time in seconds E is voltage R is resistance in ohms and L is inductance in henrys V=9volts R=10 ohms L= 20 henrys has an on/off switch a) What is the maxim ...continues

Determining the solution to a function of a function.

If f(x)=2x^2+3 and g(x)=x+7 what is: f(g(x))? g(f(x))?

Logs

lnx+ln(x+2)=4 3^x=45 x=log17 96 I did not know how to put the 17 lower than the log lnx for x=e^x f(6) for x^2+3x-2/x^2-6x=f(x)

Matrices

DAY 1. Multiply the three matrices together in order (A*B*C) to get a fourth matrix 'D'. What is the fourth matrix? DAY 2. Multiply the fourth matrix by the scalar 6 to get a fifth matrix E. DAY 3. Add the fifth matrix to a matrix whose elements are all "2"'s to get a sixth matrix F. What is the sixth matrix? DAY 4. ...continues

Solving graphically

How do i work these x=y-1,2x=3y solving each system graphically?

Solving a problem with term 'decomposition'.

The equation is not making any sense to me - nothing is comparable to the other. Consider the decomposition of the equation 19x^2 + 23x +10 6x^3 + 17x^2 - 4x – 3 into partial A + B + C X+3 2x-1 3x-1. How does this work????? I have 4 solutions, but I don't know how to make them work.

Determining the number of roots in the given equations.

1. Without solving the equation determine the number of roots (real, different, same, imaginary): a) 2x^2+7x-14=0 b) do the same for 2x^2-3x+10=0 c) e^2x+5=ln 125

Augmented Matrix

Write the augmented matrix for the given system: