First isolate y
3x + 2y = 14
-3x -3x
2y = -3x + 14
y = -3/2x + 14/2
y = -3/2x + 7
X-intercept is found when y = 0
0 = -3/2x + 7
-7 = -3/2x
x = 14/3
x-in. = (14/3,0)
Answer:
1/8
Step-by-step explanation:
sin²(π/8) − cos⁴(3π/8)
Use power reduction formulas:
1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))
Simplify:
1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))
1/2 (1 − √2/2) − 1/8 (3 + 4 (-√2/2) + 0)
1/2 − √2/4 − 1/8 (3 − 2√2)
1/2 − √2/4 − 3/8 +√2/4
1/2 − 3/8
1/8
The first equation tells you that 
. If you substitute this expression for 
in the second, we have
And we can deduce 
Answer:
True
Step-by-step explanation:
When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60
i hope that this helps you :)
The mode is the number that is repeated most often,
here, all the numbers appears just once so we don't have a mode
