Yes you are right it's C)
Notice that f(-2) = (-2)³ +2( - 2)² + 4(-2) + 8 =0
Then x³+2x²+4x+8 is divisible by (x+2)
Perform this division & you will get:
x³+2x²+4x+8 = (x+2)(x²+4)
The root of (x+2) is the value that render it nil, that is x=-2
The root of (x²+4) are imaginary (not real) because
x²+4 =0 ==> x² = -4 & x=√-4 or x= 2i (nor real).
Hope you understood the reasoning
Answer:
undefined
Step-by-step explanation:
To find the slope of the line between two points, use the slope formula 
. 
and 
represent the x and y values of one point the line passes through, and 
and 
represent the x and y values of another point the line also passes through. Therefore, use the x and y values of the points (0,3) and (0,4) to find the slope. Substitute them into the formula in the right order:
However, we can't divide 1 by 0. Therefore, the slope is undefined. (You could also graph the points to see that they form a vertical line, and all vertical lines have an undefined slope.)
Answer:
7 years 11 months
Step-by-step explanation:
The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...
FV = P(1 +r/n)^(nt)
For the given numbers, we want to find t:
6000 = 3700(1 +.062/2)^(2t)
Dividing by 3700 and taking the logarithm, we get ...
6000/3700 = 1.031^(2t)
log(60/37) = 2t·log(1.031)
Dividing by the coefficient of t gives ...
t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years
It will take about 7 years 11 months for the investment to grow to $6000.
the area of a circle is A = πr², where r = radius of the circle.
how to find points in the circle? depends on what the scenario is, if you know circle's center and its radius, simply use the distance formula to get any of the points, if you have only the equation of it in standard form, you can use the x,y coordinates with substitution, if you have an sketch, you can get them off the grid, so depends on what you have as components.
Step-by-step explanation:
4 * 7 = 28
28 - 12 = 16
