i keep trying on these problems it can really get the correct answers. even if there are given... these are some of the problems i kind of confused to solve. even if the answers are there but i need help to reach on the solutions how they are done.

1. Solve for (x; y) in the system (e^x + 2)^2 - y = 3, 4(e^x + 2) - y = -1.

ansln 2 sq rt. of 2, 9 + 8 sq. rt of 2

2. Mica has six differently colored crayons. She can use one or more

colors in her painting. What is the likelihood that she will use only her

favorite color?

ans: 1/63

3. cos 15 degrees is equal to what value ?

ans: ( sq rt of 6 + sq rt of 5 )/4

4. A line with y-intercept 5 and positive slope is drawn such that this line

intersects x^2 + y^2 = 9: What is the least slope of such a line?

ans: 4/3

5. A metal bar bent into a square is to be painted. How many distinct

ways can one color the metal bar using four distinct colors on the edges

using red, white, blue, and yellow.

ans: 3

6. In how many ways can the letters of the word MURMUR be arranged

without letting two letters which are the same be adjacent?

ans: 31