Answer:
k = -6/35
Step-by-step explanation:
To make the function continuous
kx^2 = x+k
These must be equal where the function is defined for two different intervals
This is at the point x=-6 so let x=-6
k(-6)^2 = -6+k
36k = -6+k
Subtract k from each side
36k-k = -6+k-k
35k = -6
Divide by 35
35k/35 = -6/35
k = -6/35
Answer:
The integers could be 21 and 22
or -22 and -21
Step-by-step explanation:
If two integers are consecutive, then it means that their difference is just 1
if we have the initial value as x , then the other value could be x-1 or x + 1
let us go with x-1
So the product here is;
x(x-1) = 462
x^2-x = 462
x^2 -x -462 = 0
x^2 -22x + 21x - 462 = 0
x(x-22) + 21(x-22) = 0
(x + 21)(x-22) = 0
x = -21 or x = 22
If x = -21
x -1 = -21-1 = -22
if x = 22
x -1 = 22-1 = 21
Chloe is earning 7.50 an hour, Marissa is earning $6 an hour so the answer is Chloe is earning 50 cents more per hour.
Answer:
$3.50
Step-by-step explanation:
I hope this helps!