Two years because 14 months is a year and 2 months
Answer:
f(2)=0. The third option is correct.
Step-by-step explanation:
Suppose we have a polynomial called f(x) and we know (x-2) is a factor of f. This means that we can express f(x) as:
f(x)=(x-2)\cdot g(x)
Being g(x) another unknown function.
Option 1: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=-2. Incorrect
Option 2: f(-2)=(-2-2)\cdot g(-2)=-4\cdot g(-2). Since we don't know the value of g(-2), we cannot assure f(-2)=0. Incorrect
Option 3: f(2)=(2-2)\cdot g(2)=0\cdot g(0)=0. Regardless of the value of g(0), f(0) must be 0. Correct
Option 4: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=2. Incorrect
Answer:
12x^3+15x^2-12x+12
Step-by-step explanation:
P(x) = 12x^3 + 11x^2 - 9x + 10
Q(x) = 4x^2 – 3x + 2
P(x) + Q(x) = 12x^3 + 11x^2 - 9x + 10+ 4x^2 – 3x + 2
Combine like terms
=12x^3+11x^2+4x^2-9x-3x+10+2
=12x^3+15x^2-12x+12
Answer:
Correct volume = 100.48 cm³
Step-by-step explanation:
The formula for finding the volume of a cone is:
V = πr²(h/3)
r - Radius
h - Height
V - Volume
To find the correct volume of the cone, we just need to input the measurements into their respective places in the formula and solve. Your work should look similar to the following:
V = πr²(h/3)
V = π(4)²(6/3)
V = π(16)(6/3)
V = π(16)(2)
V = π(32)
V = 100.48 cm³
(You can use the work shown above to find Joan's mistake in her work.)
~Hope this Helps!~
