9514 1404 393
Answer:
c = 5
Step-by-step explanation:
The graph of
f(x) = 3x² -5x -7
is shifted 2 units to the right by the transformation ...
g(x) = f(x -2)
g(x) = 3(x -2)² -5(x -2) -7
g(x) = 3(x² -4x +4) -5x +10 -7
g(x) = 3x² -17x +15
When this is written as a monic polynomial, it is
g(x) = x² -17/3x +5
The value of 'c' is 5.
This is the way to solve the problem
To answer this, we need to use the equation for the volume of a cylinder:

Where:
'V' : Volume
'r' : radius
'h' : height
Now we plug in our values and solve:


V = <span>13571.68 cubic feet
</span>
∴Despite not being exactly what we got, the answer must be 'B'. It is the closest value to our solution without going over.
Hope this helps!
Answer:
Option C is correct.
Step-by-step explanation:
Let x be the original width
then x+2 will be the length (consecutive odd integer)
if length is increased by 5 feet , length will be: (x+2)+5 = x+7
Area = 60 square ft.
Area = length * width
60 = (x+7) *x
60 = x^2 +7x
Rearranging
x^2 + 7x -60 = 0
Solving quadratic equation to find the value of x
using Quadratic formula

a=1, b =7, c=-60

Since width can be positive so x=5
length of original rectangle = x+2 = 5+2 =7
Area of original rectangle = Length * Width
Area of original rectangle = 5 * 7
Area of original rectangle = 35 ft^2
So, Option C is correct.