Answer:
5
Step-by-step explanation:
slope is in front of x in y-intercept form
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:
B- $38.00
Step-by-step explanation:
Since there are two adults, you would multiply the cost of adults by number of adults. in this case that would be $10.75 x 2= $21.50. do the same for the kids and you will get $5.50 x 3 = $16.50. add 16.50 and 21.50 and you will get $38.00 which is your answer
hope this helped :D
Answer:11 hours
Step-by-step explanation:
Answer:
5.190 < 5.195
Step-by-step explanation:
5.195 is bigger than 5.190, so 5.195>5.190
