Algebra Answers

Graph the function using a graphing utility and describe the behavior near the asymptotes. Show work.

x
F(x)= --------
3x - 6

Prove that: 2^n > 1+n√2^(n-1) for all n>2 using the concept of inequalities only.

A computer company uses the linear model y = -21x + 13,082 to predict the decline in sales of a computer after it has been on the market more than one year. If x is the number of months after the first year and y is the number of computers sold during that month, how many computers will be sold 11 months after the first year?

An mtn cellular phone user notices that her cellular phone accounts for three consecutive months were significantly different .in may her account was one and a half times more than her account in june.her account in july was R50 more thanher account in june.in total she spent R575 in cellular accounts in the 3 months.what was her account for each month?
2.2.the sum of three consecutive odd number is 45 .what are the mumbers?

Max, Ruby and Steve shared a packet of sweets. The ratio of the total number of sweets Ruby and Steve received to the number of sweets Max received was 2:3. After Max gave 9 sweets to Ruby and 23 sweets to Steve, the 3 children had the same number of sweets in the end. How many sweets did Ruby have in the end?

The amount of work done by James and his relative distance to Samuel is inversely related. When James is 6 feet away from Samuel, he can get 13 assignments done per hour. How many assignments can James get done when he is 52 feet away from Samuel?

a.
24 assignments
c.
1.5 assignments
b.
112.7 assignments
d.
59 assignments

The Bedrock water department has a monthly service charge of $8.40 and a volume charge of $1.81 for every 100 cubic feet of water. Which of the following equations can be used to determine the Sandstone family's monthly water bill?

(Let x represent 100 cubic feet of water and y represent the monthly cost.)
A.
y = 10.21x
B.
y = 0.0181x + 8.40
C.
y = 1.81x + 8.40
D.
y = 1.81x - 8.40

the amount of work done by james and his relative distance to Samuel is inversely related. When James is 6 feet away from , he can get 13 assignments done per hour. How many assignments can James get done when he is 52 feet away from Samuel

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 63t + 4, where t is measured in seconds and h is the height in feet.
a) What is the height of the ball after 3 seconds?
b) What is the maximum height of the ball? Round to the nearest foot.
c) When will the ball hit the ground?
d) What domain makes sense for the function?

Suppose that a ball is thrown straight up into the air and its height after t second is
4 + 48t −16t² meters. Determine how long it will take for the ball to reach its maximum
height and determined the maximum height.