1. write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.

vertex at (-3,0) and co-vertex at (0,2)
a) x^2/9 + y^2/4 = 1
b) x^2/4 + y^2/9 = 1
c) x^2/3 + y^2/2 = 1
d) x^2/2 + y^2/3 = 1

2. what is the standard form equation of the ellipse with vertices at (0,6) and (0,-6) and co-vertices at (4,0) and (-4,0)?
a) x^2/4 + y^2/6 = 1
b) x^2/16 + y^2/36 = 1
c) x^2/36 + y^2/16 = 1
d) x^2/6 + y^2/4 = 1

3. an elliptic track has a major axis that is 80 yards long and a minor axis that is 72 yards long. find an equation for the track if its center is (0,0) and the major axis is the x-axis.
a) x^2/72 + y^2/80 = 1
b) x^2/1296 + y^2/1600 = 1
c) x^2/80 + y^2/72 = 1
d) x^2/1600 + y^2/1296 = 1

The equation y=mx+b is the slope-intercept form of the equation of a line. what is the equation solved for b? y-m=b y-mx=b y/mx=b y/m-x=b

Consider 6x2 + 6x + 1. which term immediately tells you that this expression is not a perfect square trinomial? justify your answer

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96