Question

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.

Answer 1

Very strange. I don't see a single answer you gave to your lengthy assignment. How can we check your work.
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

Answer 2

There is no answer because I don't know how to answer it. That's what I need help with.

Answer 3

a skyscraper is 2,717 ft tall and has 163 floors. i have to write a linear model in the form y=mx+b

Answer 4

first, define your variables. They each represent something.

Answer 5

then it would be
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

Answer 6

the slope-intercept form (y=mx+b) is named that for a reason.