Emma

Write an equation for this ellipse centered at the origin, which has foci at (0,+ and - 24) 

and co-vertices at (+ and - 10, 0) 

Thank you for the help!

F(x) = x^3 -2x + 3x - 6 

(3k^2 - 84k + 588) / (784 - 4k^2)

and what values make k undefined? 

9k^2 - 90k + 216 

I got (3k-6)(3k-36) 

I need to get it in simplest form. Just divide it all by 3?

6x^3 / 15x^4 - 60x^3 

and what values of x make it undefined? 

I get the basic idea but I can't seem to get the correct answer

F(x) = 1 - 2x - 3x^4 

as 

x -----> ∞            f(x) -------> - ∞

a) true 

b) false 

f(x) = x^3 + 2x^1/3

I would think its not a polynomial because its a binomial. I just want to verify

For the polynomial: 

f(x) = -2x^3 - 2x^2 + 7x - 25 

as 

x --->  - ∞     f(x) ------> ∞

a) true 

b) false

x^3y^2 + 7x^2y^5 - 3xy^8

f ( x ) = ( x + 2 ) ( x - 6 ) 

64x^2 - 16x + 1 = 0 

a) One real, double root 

b) Two real, rational roots 

c) There are two complex roots 

d) There are two real, irrational roots

2x^2 - 98 = 0 

(all that apply) 

a) 7 

b) - (square root of 7 ) 

c) - 7 

d) (square root of 7)

450,000 = -425x^2 + 45,500 x - 650,000

The equation of a projectile's height versus time is : 

h(t) - 16t ^2 + V o t + h o 

the Os are in subscript btw. 

a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an intial speed of 130 feet per second, what is the maximum height in feet, the ball will attain? 

Round t the nearest hundredth 

A computer can sort x objects in t seconds, as modeled by the function below 

t = 0.003x ^ 2 + 0.001x 

how many objects are required to keep the computer busy for exactly 7 seconds? 

A rectangle's width is 5 feet less than its length. If the area of the rectangle is 546 square feet. What is the length, in feet ? 

I would think youd add 5 to 546 and then square root it, however I can tell thats not the correct answer.

The average annual income I, in dollars, of a lawyer with an age of x years is modeled with the following function: 

I = - 425 x ^2 + 45,500 x - 650,000

According to this model, at what average age do lawyers earn their maximum average annual income. 

Round to the nearest year.

I understand this concept but I think Im missing an important step.

I really appreciate the help.

f(x) = -2x + 8 

g(x) = 3x 

what is the value of ( g o f ) (3) 

a) 6 

b) x + 8 

c) 23 

d) -10 

an = 3(n) + 2 

Which of the following is the equation of the line perpendicular to the line 

y = -3/2x + 4 

passing through the point (3,9)

 a) 2x + 3y = 21 

b) -2x + 3y = 21 

c ) 2x + 3y= 21 

d ) -2x - 3y = -21