1. In the formula S=a1(1−r), what restrictions are placed on the variable r?
2. The formula A=12bh can also be expressed as A=bh2. Do you agree?
3. If x and y are real numbers, and xy=0, then either x=0 or y=0. Do you agree?
4. Do the inequalities x<4 and x2<42 both have the same solution set? Explain.
5. Discuss the graph of xy=0
6. How many y-intercepts can a function have?
How many x-intercepts can a function have?
7. Does the graph of every quadratic function of the form
f(x)=ax2+bx+c
have a y-intercept? If so, what are the coordinates of the y-intercept?
8. How are the domain and range of a one-to-one function, f, related to the domain and range of the inverse function of f?
9. Discuss the properties of the graph of f(x)=bx when b>1
10. For what values of x is lnx>logx?
11. The maximum value of f(x)=3sinx+4 is 7. Thus f has an amplitude of 7.
12. Is the Dot Product of two vectors a vector or a scalar? Explain.
13. Are there any even prime numbers? If so, name them.
14. Is the proposed simplification shown below correct? If it is incorrect, show a correct simplification.
2×3^2 = 6^2 = 36
15.
Archimedes determined that 223/71<π<22/7. Is it possible to find an exact representation for π of the form ab, where a and b are integers?
Or... can π be written as a fraction?
16. The expressions −a^n and (−a)^n don't always represent the same number. Discuss the situations in which the two expressions are equal and those in which they are not equal.
6 answers
Surely you did not expect somebody to do all these problem for you , or did you?
Btw, #1, the way you typed it , there would be no restriction on r
If you meant
S∞ = a/(1-r) , the sum of the the terms of an infinite geometric series, then r ≠ 1
2,717=m(163)
but i dont know how to get the y intercept. the example was 2,717=m(163)+800 but idk how to get it