Answer:
a=1/3
Step-by-step explanation:
from the point on the graph
x=4 and y=8
substitute them into the equation:
y=a(x-2) (2x+4)
you will get
8=a(4-2) (2(4)+4)
8=a(2) (8+4)
8=a(2) (12)
8=2a×12
8=24a
divide both sides by 24
8/24=24a/24
1/3=a or a=1/3
Answer:
8.08 %
Step-by-step explanation:
Let us denote : 
score X follows a normal distribution with mean 
and standard deviation 
Step 2
The probability that someone scored 21.9 or less is :
Answer : 
Answer:
700
Step-by-step explanation:
Answers:
9). 45/9 = 5
10). 2 *14² = 2* 196 = 392
11). 5 * 12 * 7 = 60 * 7 = 420
12). 1/2 * 9 * 12 = 54
13).1/2(24)(9 + 21) = 12 * 30 = 360
14). 14 * 13 = 182
15). 16 * 8 * 5 = 640
16). 75/5 = 15
17). 2(5²) = 2 * 25 = 50
18). 8(2.5 + 4.2) = 8 * 6.7 = 53.6
19). 1/2(3)(5 + 6) = 33/2 = 16.5
20). 3.14(6²) = 3.14 * 36 = 113.04
6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1
6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)
6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)
6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²
