Can someone please help me with this??Find the equation for the following parabola ( Parabolas) !

The equation of the parabola is (x - 2)² = 16(y + 1) ⇒ D

Step-by-step explanation:

The standard form of the equation of the parabola is

(x - h)²  = 4p(y - k), where

∵ The vertex of the parabola is (2, -1)

→ By using the notes above

∴ h = 2

∴ k = -1

∵ Its focus is (2, 3)

→ By comparing it with the notes above

∴ h = 2

∴ k + p = 3

∵ k = -1

→ Substitute it in the equation above

∴ -1 + p = 3

→ Add 1 to both sides

∵ -1 + 1 + p = 3 + 1

∴ p = 4

→ Substitute the value of h, k, p in the form of the equation above

∵ (x - 2)² = 4(4)(y - -1)

→ Remember (-)(-) = (+)

∴ (x - 2)² = 16(y + 1)

∴ The equation of the parabola is (x - 2)² = 16(y + 1)

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6