Answer:
k = - 14
Step-by-step explanation:
given that (x - 5) is a factor of the polynomial then x = 5 is a root and
x³ - x² + kx - 30 = 0 for x = 5, that is
5³ - 5² + 5k - 30 = 0
125 - 25 + 5k - 30 = 0
70 + 5k = 0 ( subtract 70 from both sides )
5k = - 70 ( divide both sides by 5 )
k = - 14
Answer:
1st: consistent and dependent
2nd: (-2,0). Simply put the called and check.
Here is my answer. I left the latter question in a. as I don't actually know the answer. Anyway, I hope this is helpful although not complete.
<span>Let x = # of rides
Plan A: 10 + 3x
Plan B: 20 + x
if x < 5 rides then plan A is better buy
if x = 5 both plans are the same
if x > 5 then plan B is the best buy
Prove:
x = 6 (rides)
plan A: </span>10 + 3x = 10 + 3(6) = 10+18 = $28
plan B: 20 + x = 20 + 6 = $26
Given, there are an average of 150 citizens eat daile in the cafeteria.
The average price of their meals = $5.95.
The discount given for sinior citizens in their meals = 20%
So we have to find 20% of $5.95 first.
20% of $5.95 = 
= 
= 
= 
So, the amount of discount given to the senior citizens = $1.19 per head.
As there are 150 cinior citizens daily.
So total discount given daily = $
=$
So we have got the required answer.
Option C is correct here.