The answer would be D. (3, -4).
Work:
3 = x
-4 = y
3 • 5 = 15
-4 • 2 = -8
15 + -8 = 7
To check: y = x - 7
-4 = 3 - 7
3 - 7 = -4
17m because 17 members times sales for each member
Answer:
$64222.22
Step-by-step explanation:
If we call the original value as x, we can write:
1445 = x * (0.15)² (Note: We write 1 - 0.85 = 0.15 and not 0.85 because 0.85 is the decay factor)
1445 = 0.0225x
x ≈ 64222.22
At point of intersection the two equations are equal,
hence, 6x³ =6x²
6x³-6x²=0
6x²(x-1)=0 , the values of x are 0 and 1
The points of intersection are therefore, (0,0) and (1,6)
To find the slopes of the tangents at the points of intersection we find dy/dx
for curve 1, dy/dx=12x, and the other curve dy/dx=18x²
At x=0, dy/dx=12x =0, dy/dx=18x² = 0, hence the angle between the tangents is 0, because the tangents to the two curves have the same slope which is 0 and pass the same point (0,0) origin.
At x=1, dy/dx =12x = 12, dy/dx= 18x² =18, Hence the angle between the two tangents will be given by arctan 18 -arctan 12
= 86.8202 - 85.2364 ≈ 1.5838, because the slope of the lines is equal to tan α where α is the angle of inclination of the line.
Answer:
x=8
Step-by-step explanation:
4.6x-9.3=27.5
+9.3 +9.3
-------------------------
4.6x=35.8
4.6x/4.6 35.8/4.6
x=8
