Since 2x+y>4 you get y>4-2x. Then you draw the line y=4-2x then you are interested in everything above the line not including it since it is y>4-2x so it is a dashed line. You need to shade the side that satifies the inequality and since it is every pair (x,y) where y>4-2x, you need to shade everything above the line which is the side that does not include the origin. So the answer is C.
(8x^2+2x+8)+(3x^3+7x+4)=
8x^2+2x+8+3x^3+7x+4
3x^3+8x^2+(2+7)x+12=
3x^3+8x^2+9x+12
Answer: Option A. 3x^3+8x^2+9x+12
Answer:
Step-by-step explanation:
We have the length of AC which is opposite angle B; we also have the length of the hypotenuse. We will use trig here to solve for angle B. The sin ratio is the one that fits.
sin(B) = side opposite / hypotenuse:
so
sin(B) = .9411764706
Now we will use the 2nd button on our calculators. This will give us the missing angle value. Press 2nd then sin and you will see on your screen:

Enter that decimal after the open parenthesis and hit "enter" to get
B = 70.25 or 70°
Answer: b) -0.625
<u>Step-by-step explanation:</u>
The formula for the z-score is:

There are six vowels and 4 card suits
Each vowel can pick from 4 suits so 4*6=24
24 outcomes