X^2 + 2x < 8
x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0 ,,
{x + 4 < 0 and x - 2 > 0} or {x + 4 > 0 ,,and x - 2 < 0} ,,
{x < -4 and x > 2} or {x > -4 and x < 2},,
Discard x < -4 and x > 2 because it has no solutions, leaving just
x > -4 and x < 2 ,,
-4 < x < 2
Answer: C. $200
Step-by-step explanation: to find how much the loan takes a year do (Total amount of $ * interest)
2000*5% is 100 which is equle to 1 year of interest and because there is 2 years of interset u do 100*2 which is 200
Answer:
![73 in.^2](https://tex.z-dn.net/?f=73%20in.%5E2)
Step-by-step explanation:
The figure shown here consists of two pieces:
- A hemicircle
- A triangle
So, the total area of the figure is the sum of the areas of the two parts.
The area of the hemicircle is given by:
![A_1=\frac{\pi r^2}{2}](https://tex.z-dn.net/?f=A_1%3D%5Cfrac%7B%5Cpi%20r%5E2%7D%7B2%7D)
where
r = 4 in. is the radius (half the diameter, which is 8 inches)
Therefore,
![A_1=\frac{\pi (4)^2}{2}=25.1 in.^2](https://tex.z-dn.net/?f=A_1%3D%5Cfrac%7B%5Cpi%20%284%29%5E2%7D%7B2%7D%3D25.1%20in.%5E2)
The area of the triangle is given by
![A_2=\frac{1}{2}bh](https://tex.z-dn.net/?f=A_2%3D%5Cfrac%7B1%7D%7B2%7Dbh)
where
b is the base
h is the height
Here we have:
h = 8 in. is the height
The base is the total length (16 in.) minus the radius of the circle, so
![b=16 - 4 = 12 in.](https://tex.z-dn.net/?f=b%3D16%20-%204%20%3D%2012%20in.)
So the area of the triangle is
![A_2=\frac{1}{2}(12)(8)=48 in.^2](https://tex.z-dn.net/?f=A_2%3D%5Cfrac%7B1%7D%7B2%7D%2812%29%288%29%3D48%20in.%5E2)
So the total area of the figure is
![A=A_1+A_2=25 in^2 + 48 in^2 = 73 in.^2](https://tex.z-dn.net/?f=A%3DA_1%2BA_2%3D25%20in%5E2%20%2B%2048%20in%5E2%20%3D%2073%20in.%5E2)
Answer:
The answer is A
Step-by-step explanation:
A-the set of all rational numbers and the set of all real numbers
Have a great day!!! :)
A) the median is the middle measurement. Their ages could be 13, 14 and 15.
B) 2 students must be younger than 13
C) Like I said, the median is the middle measurement. If you have a list of numbers, you have to order them and take the middle number.
:) Have a nice day and maybe consider grading this answer brainliest? <3