Answer:
- 15
Step-by-step explanation:
Given f(x) divided by (x + h) then the remainder is the value of f(- h)
Here
f(x) = 3x³ - 5x² - 47x + k ← k is the constant term , then
f(- 3) = 3(- 3)³ - 5(- 3)² - 47(- 3) + k = 0 , that is
3(- 27) - 5(9) + 141 + k = 0
- 81 - 45 + 141 + k = 0
15 + k = 0 ( subtract 15 from both sides )
k = - 15
Answer:
-3.5,-0.2,0.6,5 ... is the answer
Answer:
y - 9 = -8(x + 2)
Step-by-step explanation:
What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)
Step 1
y intercept =
y = mx + b
y=-8x - 5
m = -8, b = -5
Point slope form
y - y1 =m( x - x1)
We are given coordinates:
j(-2, 9) = (x1, y1) where ,
x1 = -2
y1 = 9
Hence, our point slope form equation is:
y - 9 = -8(x -(-2))
y - 9 = -8(x + 2)
It cannot be simplified:(
it is already in simplest form
Answer:

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

Step-by-step explanation:
For this case we know that the initial volume of water is:

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:
