For this case we have the following inequality:
Applying distributive property on the left side we have:
Adding 2x to both sides of the inequality we have:
Adding 12 to both sides of the inequality we have:
Dividing by 2 to both sides of the inequality:
Multiplying by -1 on both sides, taking into account that the sense of inequality changes:
Thus, the solutions are given by all values greater than or equal to -5.
ANswer:
See attached image
Option A
The y intercept is where the graph crosses crosses the y axis. This occurs at x=0. Plug 0 in for x to find the y intercept.
f(0) = -32(2)^(0-3) + 3
-32*2^-3 + 3
-32 * (1/8) + 3
-4 + 3 = -1
The y-intercept is -1.
The corcumference C of a circle is C= 2 x pie x radius
So radius= C/(2pie)
Volume of cylinder= pie x r(squared) x h
Answer:
B
Step-by-step explanation:
x^2=3x-2(subtract 3x and add 2) x^2-3x+2=0(group) (x-1)(x-2)=0(find x) x=1;x=2
find y values for x values and check:
1^2=1, pair 1:(1,1); 3(1)-2=3-2=1, same pair
2^2=4, pair 2:(2,4); 3(2)-2=6-2=4, same pair
pairs: (1,1);(2,4)